Insights · Atlas, AI notebook no. 1 · Recursive self-improvement of AI

Where is the explosion?

Rayan Krishnan forecasts the automation of AI research in 2027. Ramez Naam estimates that today's self-improvement loop is too weak to accelerate progress on its own. Both can be right, because they are talking about two different thresholds.

01

Two clocks

One forecast for 2027 and one diagnosis for today. They do not have to contradict each other.

At the turn of September and October 2026, two answers were given to the question of when artificial intelligence will start improving itself faster than humans do.

Rayan Krishnan, head of Vals AI (independent benchmarks), said on 3 October 2026 that according to their index Anthropic will reach full RSI (recursive self-improvement) in July or August 2027. That is a forecast: an extrapolation from a limited set of tasks. That full automation of R&D follows from it is something the benchmark assumes rather than tests.Vals methodology

Ramez Naam, an investor and futurist who described the solar revolution before it became obvious, published a diagnosis at Noah Smith's: under his assumptions (chapter 6), today's loop is 5–10 times too weak to sustain itself.

Exhibit 1

Krishnan forecasts whether AI will do a researcher's job. Naam estimates whether today's loop accelerates progress.

Clock 1 · Rayan Krishnan, Vals AI · interview, 3 Oct 2026 · forecast
Jul–Aug 2027forecast window, about 9 months from the interview
"Full RSI" at Anthropic: the work of ML engineers gets automated.
Measure
Vals RSI index: proxy tasks from pre-training, post-training and harness engineering (e.g. the model has to fine-tune a Qwen model on its own), test sets hidden.
Caveat
RSI need not mean a fast take-off; new bottlenecks will appear. The Vals page is now more cautious: "it is not known when RSI".
Clock 2 · Ramez Naam, Noahpinion · 28 Sep 2026 · diagnosis
2-3%against a threshold of 15% or 19% (two calibrations)
Research productivity gain per capability point, against the threshold above which the loop sustains itself.
Measure
OpenAI experiment logs, the Anthropic survey, the Epoch capability index (ECI), the economic loop model by Cunningham et al.
Caveat
"I may be wrong. Forecasters have repeatedly underestimated AI progress."
Note: a discrepancy between sources

In the interview Krishnan speaks of five proxy tasks; the index documentation dated 1 October 2026 describes four and an average of four. Which version the forecast referred to, we could not establish.

Threshold A: automating the researcher's job ≠ threshold B: self-propelling progress
Source: interview with R. Krishnan at MTS (3 Oct 2026, 04:13 and 11:33); Vals index documentation (as of 1 Oct 2026); R. Naam.
02

Five meanings of self-improvement

"RSI" is five different things. Most disputes start by confusing the rungs.

Naam proposes a taxonomy that puts the discussion in order. Types 1–4 run into diminishing returns. Only type 5, the take-off to superintelligence, requires increasing returns.

Krishnan's forecast concerns type 4 for a single profession; the explosion is type 5. Naam judges that without a major conceptual breakthrough type 5 is unlikely; that is an opinion, not a measurement.

Exhibit 2

The evidence covers types 1 and 2. The 2027 forecast concerns type 4, the explosion type 5.

Five types of AI self-improvement according to R. Naam, with the state of evidence at the end of September 2026.

This is where the explosion would be
5

Take-off to superintelligence

Feature: each generation builds the next faster than the previous one; requires increasing returns.

● assessment: requires a breakthrough
This is what Krishnan measures
4

Fully autonomous R&D

Feature: AI designs, trains and tests its own successor without a human, still under diminishing returns.

○ no evidence
3

AI tests solutions on its own

Feature: an experiment loop without a human inside, but on someone else's research plan.

◐ claims (Alibaba)
We are here
2

A stronger model improves a weaker one

Feature: a fixed "teacher" changes the training code of a smaller "student", runs it, evaluates, tries again; it does not improve itself. This is where Naam places Karpathy's autoresearch.

● confirmed
1

AI raises human productivity

Feature: humans run the research. According to Naam, Anthropic engineers write 8× more code per person than in 2024, at OpenAI about 7× (activity measures).

● confirmed
Source: R. Naam, chapters 2 and 4; OpenAI and Anthropic data as cited by Naam. Anthropic's chart (>90% / 0): Naam does not give the period or the definition of autonomy.
03

Benchmark versus laboratory

A benchmark, lab work and a forecast measure three different things. Before you compare the numbers, check the unit.

The METR task horizon is the length of a task, counted in hours of expert work, at which a model reaches 50% or 80% success. The last published estimate in the series shown concerns an early version of Claude Mythos Preview from April 2026: 17.4 h at 50% (8.5–55 h) and 3.1 h at 80% (1.6–6.6 h). Above 16 hours the METR suite stops measuring reliably.METR definition

For newer models (GPT-5.6 Sol, GPT-6 Astra, Claude Fable 5.1, Opus 5.5) there are no comparable points in the cited METR horizon series. METR itself deemed its estimates for Sol unreliable.METR on Sol

OpenAI (report of 6 September 2026) measures something else: tasks that researchers actually delegate to agents, with success meaning no human intervention. Naam read off the chart a horizon of about 15 minutes at 80% (January–July 2026). The same report announces an "automated research intern" that, under human direction, performs tasks lasting several days.OpenAI report

These numbers cannot be divided by one another: different models, period, tasks and definition of success. The conclusion: a good benchmark result is not enough to declare readiness for autonomous research. Autonomy in the lab requires a separate measurement.

And the forecast? The authors of AI 2027 assessed on 16 August 2026 that reality is running at 70–90% of the pace of their scenario, depending on the choice of indicators. The path in Exhibit 3 illustrates one variant, not the whole model.AI Futures, 16 Aug 2026

Note: measurement details

GPT-5.6 Sol (26 June 2026): about 11.3 h at 50%; the result depended on how attempts to game the test rules were treated. METR evaluated Opus 5.5 on 22 September 2026 (chapters 4 and 8).

OpenAI: task length is estimated by a classifier; 15 minutes is not the horizon of a specific model and the number does not appear in the report's text. In more than half of the successful 4–8 hour tasks there was at least one human intervention.

AI Futures: 70–90% is an aggregate assessment of how the forecasts are playing out, not a ratio of horizons. The path in the exhibit: 15 minutes in March 2025, doubling every 4.5 months.

Exhibit 3

The METR benchmark is rising fast. Lab work cannot be put on the same axis.

METR horizon at 50% and 80% success and the simplified AI 2027 path; logarithmic scale. Side panel: the OpenAI reading, a different measure.

METR, 50% successMETR, 80% successAI 2027, simplified exponential path (80%)
Data and the status of every number
Model (release)50% (h)80% (h)Status
o1 (Dec 2024)0.650.12METR measurement
Claude 3.7 Sonnet (Feb 2025)1.010.20METR measurement
o3 (Apr 2025)2.000.50METR measurement
GPT-5 (Aug 2025)3.380.64METR measurement
Claude Opus 4.5 (Nov 2025)4.880.82METR measurement
GPT-5.2 (Dec 2025)5.871.10METR measurement
Claude Opus 4.6 (Feb 2026)11.981.16METR measurement
Gemini 3.1 Pro (Feb 2026)6.401.50METR measurement
Claude Mythos Preview, early (Apr 2026)17.41 (8.5–55)3.10 (1.6–6.6)last published estimate in the series; >16 h outside the reliable range
GPT-5.6 Sol (Jun 2026)c. 11.3 (5–40)-METR: not a reliable measurement (depends on how rule-gaming attempts are treated); not on the chart
OpenAI, researchers' tasks (Jan–Jul 2026)-~0.25R. Naam's reading of the chart; different measure; side panel
AI 2027, simplified path: 0.25 h in Mar 2025, doubling every 4.5 months-~2.9 in Jul 2026illustration of one variant, not the whole model
Sources: METR, Time Horizon 1.1 (data as of 8 May 2026); METR, evaluation of GPT-5.6 Sol (26 Jun 2026); OpenAI, "Research acceleration" (6 Sep 2026, R. Naam's reading); AI 2027, Timelines Forecast.Note: the absence of points after April 2026 means no comparable measurements in this series, not a plateau.
04

A chain with its second half missing

Token consumption is growing much faster than the number of experiments. The cited data do not allow us to judge how the value of discoveries has changed.

The OpenAI report shows big numbers: 124 times more tokens per researcher, about 7 times more code per engineer. These are activity measures. Closest to an outcome is the number of experiments: in August 2026 researchers were running 1.6 times more of them per person than the 2025 average.

Further down the chain breaks: how many experiments produced discoveries, and how many discoveries produced better models, the report does not say. Naam estimates, calling it speculation himself, that under typical diminishing returns 60% more experiments amount to roughly 10% faster progress.

Anthropic looks from the other side. In a voluntary survey of 130 employees, the average self-reported productivity gain is about 4×. According to the system card, doubling the pace of progress would require a gain "roughly an order of magnitude larger", i.e. around 40×. That is a self-assessment set against a model-based estimate whose arithmetic the card does not show.

"Productivity gains do not translate one-to-one into capability progress."Anthropic, Claude Mythos Preview system card (as cited by R. Naam)

In its evaluation of Opus 5.5 (22 September 2026) METR relays a preliminary estimate: about 1.5× acceleration of capability progress thanks to AI inside Anthropic, without access to the data and without a clear period. We do not set it against Naam's estimate for OpenAI.METR, 22 Sep 2026

The strongest counter-argument, which Naam himself concedes: a better researcher may run fewer experiments, but better-aimed ones. That is why the last two links in the exhibit are empty, not zero.

Exhibit 4

From tokens to progress: the closer to the outcome, the smaller the multiplier and the fewer the measurements

"Per person" multipliers at OpenAI, as cited by R. Naam. Logarithmic scale. The bars have different populations and base periods; nobody here measures the dashed links.

Data: population, base period, status
LinkMultiplierPopulationDenominator / base periodStatus
Tokens124×OpenAI researchers, per personbase period not given in Naam's accountOpenAI measurement (via Naam)
Lines of code~7×OpenAI engineers, per personbase period not given in Naam's accountOpenAI measurement (via Naam)
Experiments1.6×OpenAI researchers, per person, Aug 2026monthly average over all of 2025OpenAI measurement (via Naam)
Useful discoveries?--not in the data
Pace of progress~1.1×-assumption: exponent 0.2Naam's speculation
Source: OpenAI, "Research acceleration" as cited by R. Naam, chapter 4. This is co-occurrence of changes over time, not a controlled experiment.
05

More fuel, faster, but not explosively

Inputs are growing exponentially. The public capability index accelerated with reasoning models and has grown in a straight line since.

The world's total AI chip compute, including inference and with a projection at the end of the period, grew according to Epoch roughly 127 times in a little over three years (February 2023–2026, H100 equivalents). That is infrastructure context, not the input to a single model and not a return on research.Naam, chapter 5

With reasoning models the trend of the Epoch capability index (ECI) accelerated: about 14 points a year since o1 (September 2024), against about 6 before. That alone does not settle how much of it is recursive self-improvement and how much a change of recipe (more inference compute, more RL). Since the end of 2024 there is no further upward bend.Epoch, 1 Sep 2026

"We believe that internal use of the latest AI models has been a key factor in maintaining the current pace of progress, but we do not yet see clear signs of dramatic acceleration beyond that pace."Anthropic, Claude Fable 5.1 & Mythos 5.1 system card (italics Anthropic's; as cited by R. Naam)
Note: discrepancies between sources

Epoch sees a level jump and a 2–3 times faster trend; Naam fits a single straight line to January 2024–September 2026 (about 16 points/year).

The shape of the trend depends on the scale: a constant ECI increment can go together with exponential growth of the task horizon (Epoch: +5 ECI points ≈ a doubling of the METR horizon).

Naam also cites about 3% of US GDP going to AI infrastructure; that is a different scope than global chip compute, so we do not combine the numbers.

Exhibit 5

A hundred times more compute. The capability curve bent once, with reasoning models, and has run straight since

Two panels, each with its own axis. A schematic from end points and trend slopes, not point data; the dotted segment is a projection.

Source: Epoch AI, frontier ECI trend (1 Sep 2026: 14 vs 6 points/year); Epoch, "Have AI capabilities accelerated?" (16 Apr 2026); chip compute in H100 equivalents: Epoch as cited by R. Naam (Feb 2023–2026, world, with projections).
06

The loop

The loop exists. The question is whether each turn yields more than the previous one, or less.

Better AI speeds up research, research yields better AI. Tom Cunningham and co-authors calculated how much each additional ECI point must deliver for the loop to sustain itself: about 15% more research productivity. Naam, after a calibration correction, gets about 19%. These are two calibration variants; Naam himself advises not to read much into the difference.Cunningham et al., pp. 28–29

The current state: from the Anthropic survey Cunningham et al. get about 9%, from the OpenAI experiment logs Naam gets about 3%. Hence his 5–10× gap. At 9% the gap is only 1.7–2.1×: the choice of input data weighs more than the choice of threshold.

Below the threshold growth continues, driven by chips, data centres and capital, but the software loop itself dies out. Above the threshold it picks up speed. Move the slider.

Note: the 3% arithmetic

Naam's correction is based on data from experiments on the Stockfish chess engine.

1.6× more experiments at an assumed increment of +16 ECI points: 1.61/16 − 1 ≈ 2.98%. The arithmetic combines the number of experiments (activity) with an assumed ECI increment; it does not measure the quality of discoveries.

Naam's caveat: several loops at once (software, hardware, the economy) may together cross the threshold even though each alone is too weak (the model by Davidson, Halperin, Houlden and Korinek; Naam considers it too optimistic about the software loop).

Exhibit 6 · interactive

Below the threshold each turn of the loop adds less than the previous one. Above it: more.

Set the research productivity gain per ECI point and the threshold; see the increment from successive turns. An illustration of the mechanism, not a forecast in time: no cycle length, costs or resource constraints.

3%
Threshold:

How it is computed: the increment from turn n = (gain / threshold)n−1 of the increment from the first turn. Below the threshold increments shrink, at the threshold they are constant, above it they grow. Changing the threshold changes the calculation.Source of thresholds: T. Cunningham et al.; R. Naam.
07

Two thresholds on one map

Krishnan measures capability. Naam measures amplification. There is a scenario in which both are right.

Capability (threshold A) is the question of whether a model can do an ML engineer's job; the Vals index asks exactly that. Amplification (threshold B) is more than acceleration: AI can speed up research relative to work without AI (the 1.5× estimate from chapter 4) and still be below the threshold. Amplification here means whether an improvement in AI triggers feedback strong enough for successive turns to sustain or increase the pace of progress at constant external inputs.

A scenario consistent with both: in 2027 a model does an ML engineer's job, and the capability curve keeps rising in a straight line. Automating a known recipe is climbing a known mountain.

"Jobs are like O-rings. When you automate part of the tasks, the bottleneck moves to the others."Theo, the host interviewing Krishnan, who adds that 7–9 months to full automation "seems hard to believe"
Exhibit 7

A scenario consistent with Krishnan's forecast and Naam's diagnosis

Krishnan's forecast concerns the horizontal axis, Naam's diagnosis the vertical one. The fields are disjoint; the text assigns them no probabilities.

Strength of feedback at constant inputs (Naam) →
strong feedback · low autonomy

Strong feedback with humans involved

Humans amplified by AI accelerate progress above trend. A sustained rise in pace is a signal to examine the loop, not proof of it: it can also come from growing inputs.

strong feedback · high autonomy

Conditions favouring an explosion

Type 5: the loop above the threshold, each turn larger. The real-time pace also depends on cycle length and resources. Today there are no data pointing this way.

weak feedback · low autonomy

September 2026

Types 1–2. Zero autonomous tasks on Anthropic's chart, the loop at ~3% per ECI point according to Naam.

weak feedback · high autonomy

Automating the craft

The scenario consistent with both: a model does an ML engineer's job (Krishnan), the capability curve still linear (Naam).

Scope of autonomous R&D execution (Krishnan) →
Author's framing based on R. Naam and the interview with R. Krishnan.
08

Why clever steps go sideways

Today's models are excellent executors and weaker discoverers. A fresh study suggests how training can restrict exploration, and offers a partial remedy.

From correspondence3 Oct 2026
PR
Practitioner · on his own attempts
"I tried in several approaches to build a harness that improves itself, which is an even easier problem than RSI of a full AGI. The impression: it works poorly. The same effect as with hard tasks: small steps, very clever and sensible, but in a completely senseless direction."

That is an observation from one workshop. New sources allow it to be taken apart.

The Opus 5.5 system card. Anthropic writes about its own newest model:

"Like previous models, it is weaker at open-ended research: internal users report that it mostly tests incremental ideas and prefers less ambitious hypotheses, and in a human-led biology exercise it stuck to the published literature and had difficulty developing new ideas."Anthropic, Claude Opus 5.5 system card, section 2.3.3 (as cited by R. Naam)

On CoBench, a benchmark of historical R&D problems in AI, Opus 5.5 gains only 2.6 percentage points over Opus 5, within the margin of error. METR supposes, with great uncertainty, that full automation of R&D will require major progress in prediction, in building one's own feedback loops and in the researcher's "judgment".METR, 22 Sep 2026

Sharpening Tax. Researchers at Meta Superintelligence Labs (arXiv, 1 October 2026) describe a matching mechanism. RL training "sharpens" the model: first-attempt accuracy (pass@1) rises, the benefit of further attempts falls. In an observational analysis of 42 combinations of commercial models and benchmarks the "tax" at 128 attempts was positive in 36, which does not always mean a drop in pass@128.paper, §4

In a controlled experiment on Qwen2.5-7B-Instruct, standard RL (PPO) on Sokoban more than doubles pass@1, and pass@128 falls by 28% relative. The remedy, PTGS, is a sampling temperature matched to task difficulty during RL training: it raises both measures at once and recovers about 68% of the pass@128 loss on Sokoban and 39% on FrozenLake.paper, §5, tab. 5

The analysis of commercial models does not establish the cause of Opus's weakness in discovery. It shows a mechanism consistent with the observations and that it is not inevitable.

Where the loop works. Where verification is cheap and automatic. Poteto (Cursor, now SpaceX AI) says that in a month he "shipped" 2,000–2,500 PRs because his agents run the application and check their own work themselves, and a human reviews samples in the morning (recording, 39:12; an anecdote, not a measurement, a large part being code clean-up). Kent Beck on attempts without a human in the loop: "it always goes off the rails" (Prodacity 2026, 31:00). The direction of research has no cheap verifier.

Exhibit 8

In two environments standard RL raises the first attempt and cuts the reach. PTGS in training recovers part of the loss.

Controlled experiment: Qwen2.5-7B-Instruct, mean of 5 runs. Hollow dot = pass@1 (first-attempt accuracy), filled = pass@128 (reach). Segment length = how much repeated attempts add.

baseline (before RL)PPO (standard RL)PPO + PTGS (adaptive temperature in training)pass@1pass@128
Data
EnvironmentModelpass@1 (%)pass@128 (%)Recovered pass@128 loss
SokobanBaseline20.776.6-
SokobanPPO46.555.0loss 21.6 pp
SokobanPPO + PTGS61.169.714.7 / 21.6 = 68%
FrozenLakeBaseline26.389.1-
FrozenLakePPO63.774.1loss 15.0 pp
FrozenLakePPO + PTGS65.080.05.9 / 15.0 = 39%
Source: C. Oh et al., "Sharpening Tax in Post-Training", arXiv 2610.01509, §5, tab. 5. Recovery percentages: author's calculation on the table's data.
09

What would change the assessment

Let us not ask who is right. Let us ask which observation would reset which clock.

From correspondence3 Oct 2026
PR
Practitioner · on forecasting
"Point 9 is defined in the assumptions behind the report: no major innovation such as transformers. If you only negate that premise, in my view the whole report falls apart."

The intuition is sound, with two corrections. The same premise holds up Krishnan's clock, which extrapolates today's recipe for building models. And for Naam a breakthrough does not invalidate the analysis, it only forces a recalibration; stronger feedback could also come from better model judgment, memory, data or coupled loops. Besides, diminishing returns did not arrive with the Transformer: scaling curves with diminishing returns were being fitted as early as 1993.

Exhibit 9

Five signals, a criterion for each and what to control for

Conditions for changing the assessment, stated or implied by R. Naam, translated into observations.

Signal 1 · Naam's clock

More useful discoveries at constant resources

Criterion: a rise in the number of discoveries incorporated into production models per unit of compute and per human hour, over two consecutive cycles. Control for: discovery quality, compute, human time.

Signal 2 · Naam's clock

Better research "judgment" in models

Criterion: fewer experiments per discovery, measured on tasks outside the training data (e.g. new editions of CoBench), without a drop in quality. Control for: contamination and task selection.

Signal 3 · both clocks

An architectural breakthrough

Criterion: a new method after which the ECI or horizon trend keeps a higher slope for at least two cycles, not just a level jump. Control for: the task set and compute.

Signal 4 · Naam's clock

Coupled loops

Criterion: a shortening time from chip design to deployment and a growing share of AI in that design, at a stable unit cost. Control for: subsidies and energy prices.

Signal 5 · Krishnan's clock

A horizon on real work

Criterion: the horizon on tasks delegated by researchers (last reading: about 15 min) grows under a constant methodology and approaches the benchmark values. Control for: the definition of success and of intervention.

Source: R. Naam (chapter "What Could Accelerate Progress?"); Elasticity Institute, "How to Measure RSI"; T. Davidson, B. Halperin, T. Houlden, A. Korinek. Criteria and the control list: author's proposal.
10

A map for the investor

Do not ask when the explosion will come. Ask how quickly and how reliably the result can be checked, and which variable AI really moves.

From correspondence, in brief1–3 Oct 2026
PR
Practitioner · 1 Oct
The winner is whoever can say that their digital employee is better than the one from OpenAI. Differentiators: no vendor lock-in, sector specialisation and human-in-the-loop as a service.
PR
Practitioner · 3 Oct · opinion
Invest in a digital junior or mid, or in a service with human oversight. A fully independent digital doctor, lawyer or scientist is not in sight without a breakthrough in AI architecture.

The analysis in this text gives that opinion a criterion. Autonomy is favoured by fast and reliable verification, especially when the cost of error is bounded and the result can be checked before use. Naam expects narrow superintelligence where machines generate the data and check the result themselves: in chess and go, in formal mathematics, in parts of programming and cybersecurity. The further from such verification, the more a mixed model pays off: AI executes, an expert directs and evaluates.

This concerns tasks, not fields: programming includes both a change with a full test suite and an architecture decision, biotech both in-silico docking and a clinical trial endpoint. In biotech, moreover, Eroom's law applies: between 1950 and 2010 the real R&D cost per newly approved drug doubled roughly every 9 years. AI will shorten the verifiable stages in software fastest, but it also creates value through lower cost and better selection (Exhibit 10b).Scannell et al., 2012

Exhibit 10a

The faster and more reliable the verification of a task, the closer to an autonomous agent

Example tasks, not whole fields, ordered by the time and reliability of checking the result.

← an autonomous agent pays offa mixed model pays off: AI + expert →
Source: categories of verifiable tasks according to R. Naam; choice of examples, ordering and extension to biotech: author's framing.
Exhibit 10b

In a drug's value chain AI moves three levers. Speed is only one of them

Qualitative framing, not data. Dots: the author's assessment of how quickly a stage's result can be verified (5 = hours–days, 1 = years on humans).

StageVerification speedMain AI leverQuestion for the board
Target discovery
P(success)Does AI change which targets you choose, or only how fast you describe them?
In-silico design
timecostHow many candidates do you reject earlier than before AI?
Wet lab
costP(success)Does AI design the experiments, or only document them?
Preclinical
P(success)Do you close doomed projects faster?
Clinical trials
costP(success)Recruitment, patient selection, trial design: which of these is measured?
time shortening a stagecost cheaper for the sameP(success) better selection
Author's framing: a starting point for a conversation, not an assessment of specific companies.

Four questions for every company with "AI" in its deck

1

Which variable does AI really move: time, cost or the probability of success?

And does that stage lie on the critical path or beside it. That is the O-ring question.

2

How fast and how reliable is the verifier, and what does an undetected error cost?

Where on the spectrum of Exhibit 10a do the automated tasks sit? That decides whether an agent can work alone.

3

Do you measure outcomes or activity?

Tokens, lines of code and the number of PRs are effort. Exhibit 4 shows how far it can be from 124× tokens to progress.

4

Do additional attempts improve the result at an acceptable cost, and can you reliably recognise success?

A model fine-tuned with RL for a narrow domain can be repeatable yet solve fewer problems. Has anyone measured pass@K together with the cost of attempts?

Sources

  1. R. Naam, "Where's the 'intelligence explosion'?", Noahpinion, 28 Sep 2026; reprint: Asia Times. Source of the taxonomy (chapter 2), the "15 minutes" reading (chapter 3), the OpenAI multipliers (chapter 4), 127× and 3% of US GDP (chapter 5; the 3% in a note), the 15%/19% thresholds and the 3% arithmetic (chapter 7).
  2. R. Krishnan (Vals AI) at MTS, "Anthropic Will Reach Full RSI by August 2027", 3 Oct 2026, YouTube (forecast 04:13; five tasks 11:33). Index documentation: vals.ai/benchmarks/rsi_index (as of 1 Oct 2026: four tasks).
  3. METR, Time Horizons (definition, data 1.1); evaluation of GPT-5.6 Sol, 26 Jun 2026; evaluation of Claude Opus 5.5, 22 Sep 2026 (the ~1.5× estimate, researcher's judgment).
  4. OpenAI, "Research acceleration: The view inside OpenAI", 6 Sep 2026.
  5. AI Futures Project, "Q2.5 2026 timelines update", 16 Aug 2026 (70–90% of the pace); AI 2027, Timelines Forecast.
  6. Epoch AI, frontier ECI trend, 1 Sep 2026; "Have AI capabilities accelerated?", 16 Apr 2026; ECI.
  7. T. Cunningham et al., "The Economics of Recursive Self-Improvement" (thresholds: pp. 28–29); Elasticity Institute, "How to Measure RSI".
  8. C. Oh, Q. Zeng, Q. Qi, A. Zhmoginov, D. Lei, Y. He, H. Phan, H. Kang, A. Mirhoseini, S. Li, "Sharpening Tax in Post-Training", arXiv 2610.01509, 1 Oct 2026 (36/42: §4; PTGS: §5, tab. 5).
  9. Poteto and M. Pocock, "Shipping 1,000's of PRs a month at SpaceX", 3 Oct 2026, YouTube (39:12).
  10. K. Beck, "Software Engineering in the Age of AI", Prodacity 2026, 29 Sep 2026, YouTube (31:00).
  11. A. Karpathy, autoresearch (type 2 according to Naam).
  12. J. W. Scannell et al., "Diagnosing the decline in pharmaceutical R&D efficiency", Nature Reviews Drug Discovery, 2012 (Eroom's law, data 1950–2010).
  13. Cited via R. Naam, without access to the full texts: the Claude Mythos Preview, Claude Fable 5.1 & Mythos 5.1 and Claude Opus 5.5 system cards (section 2.3.3); Anthropic's chart on AI's share of R&D; T. Davidson, B. Halperin, T. Houlden, A. Korinek.

Method and the status of numbers. Every key number in the text carries a reference and one of these statuses: measurement (METR, OpenAI logs), self-assessment (the Anthropic survey), chart reading (15 min, Naam), author's calculation (2.98%; 68%/39%), estimate (1.5× METR; ~40× Anthropic), forecast (Krishnan, AI 2027). Numbers from system cards are cited via Naam's article and marked as such. Exhibits 5 and 6 are schematics and illustrations of the mechanism. Exhibits 7, 9, 10a and 10b are the author's framing. External sources from revision 2 (METR Sol, METR Opus 5.5, AI Futures, Epoch, Vals) were checked directly at the given addresses on 8 Oct 2026.

Atlas · no. 1 · October 2026 · version 3.1 · Cezary Dmowski

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