The Gapnium Coefficient · as of 7 Nov 2026

0.3153
+0.0000 30 days +0.0521 12 months

On a scale where 0 is no progress toward a technological singularity and 1 is having crossed it, this is our evidence-based estimate of where the world stands today.

The gap 0.6847 1 − coefficient
Closing velocity +0.052/yr 3-yr average +0.058/yr
Naive crossing 2039 if the last 12 months' pace held linearly
gapnium.cognition 0.572 +0.075 1y w 0.2 gapnium.autonomy 0.319 +0.097 1y w 0.2 gapnium.recursion 0.164 +0.016 1y w 0.2 gapnium.discovery 0.351 +0.073 1y w 0.15 gapnium.automation 0.195 +0.029 1y w 0.1 gapnium.compute 0.263 +0.006 1y w 0.1 gapnium.embodiment 0.116 +0.000 1y w 0.05

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Every point, every source

  1. Claude Opus 5.5: frontier performance at lower cost

    Opus 5.5 reports 66.4% on Terminal-Bench 4.0, 81.8% on OSWorld 2.1 and matches Fable 5.1 on most work for ~40% less than Opus 5.

    Autonomy +0.016 Automation +0.010 Compute +0.006
  2. OpenAI model reports ten more mathematical advances

    OpenAI says an unreleased model made ten new mathematical advances, including solutions to three more Erdős problems.

    Discovery +0.018 Recursion +0.004
  3. Claude Opus 5 sets agentic and knowledge-work records

    Anthropic's Opus 5 comes close to Claude Fable 5 at half the price and scores roughly three times the next-best model on ARC-AGI 3.

    Cognition +0.022 Autonomy +0.016 Automation +0.012
  4. AI disproves Erdős's 1946 unit distance conjecture

    OpenAI announces an internal reasoning model produced a counterexample to a famous 80-year-old Erdős conjecture, checked by mathematicians including Tim Gowers.

    Discovery +0.040 Cognition +0.015
  5. GPT-5.5 released

    OpenAI's GPT-5.5 reports 82.7% on Terminal-Bench 2.0, a large step for terminal-based agentic work.

    Autonomy +0.014 Cognition +0.008
  6. Claude Opus 4.6 brings 1M context to Opus

    Opus 4.6 posts state-of-the-art results on Terminal-Bench 2.0, Humanity's Last Exam and BrowseComp, and leads GDPval-AA.

    Autonomy +0.018 Automation +0.010 Cognition +0.008
  7. METR Time Horizon 1.1 and its limits

    METR expands its task suite to 228 tasks with more than twice as many 8h+ tasks, and cautions that a 50% horizon is not a delegation guarantee.

    Autonomy +0.006 Automation −0.003
  8. Erdős problems start falling to AI

    Hobbyists using GPT-5.2 Pro solve Erdős Problem #728, and a DeepMind-led team uses Gemini to resolve four more and locate old solutions to nine.

    Discovery +0.015
  9. Claude Opus 4.5 outscores human engineering candidates

    Anthropic says Opus 4.5 scored higher than any human candidate on its take-home engineering exam, with 80.9% on SWE-bench Verified.

    Autonomy +0.015 Recursion +0.012
  10. Gemini 3 sets new reasoning records

    Google's Gemini 3 Pro tops LMArena and posts ~37.5% on Humanity's Last Exam without tools and 31% on ARC-AGI-2.

    Cognition +0.022
  11. First reported AI-orchestrated cyber-espionage campaign

    Anthropic reports disrupting a state-sponsored campaign in which an AI agent performed 80–90% of the intrusion work autonomously.

    Autonomy +0.012
  12. Figure 03 designed for homes and mass production

    Figure unveils its third-generation humanoid, built around its Helix VLA model and designed for high-volume manufacturing.

    Embodiment +0.008
  13. Claude Sonnet 4.5 sustains 30-hour tasks

    Anthropic reports Claude Sonnet 4.5 maintaining focus for more than 30 hours on complex multi-step tasks, and 61% on OSWorld.

    Autonomy +0.020 Recursion +0.006
  14. Gemini Robotics 1.5 brings agents into the physical world

    DeepMind's vision-language-action models plan multi-step physical tasks and transfer skills across robot bodies.

    Embodiment +0.012
  15. GDPval: models approach experts on real occupational tasks

    OpenAI's GDPval finds the best models' work rated as good as or better than industry experts' in nearly half of tasks across 44 occupations.

    Automation +0.020
  16. AI reaches gold at the ICPC World Finals

    Gemini 2.5 Deep Think solves 10 of 12 problems at the world's top university programming contest; OpenAI reports 12 of 12.

    Cognition +0.012 Recursion +0.005
  17. MIT report: 95% of enterprise gen-AI pilots show no P&L impact

    An MIT NANDA study finds most corporate generative-AI pilots deliver little measurable financial return.

    Automation −0.008
  18. GPT-5 released

    OpenAI's GPT-5 unifies fast and reasoning modes, posting 74.9% on SWE-bench Verified and lower hallucination rates.

    Cognition +0.010 Automation +0.010
  19. Genie 3 generates interactive worlds in real time

    DeepMind's Genie 3 world model generates navigable 3D environments at 24 fps that stay consistent for minutes.

    Embodiment +0.010 Cognition +0.004
  20. Gemini Deep Think wins IMO gold

    An advanced Gemini Deep Think model solves 5 of 6 IMO problems in natural language within the time limit, officially certified gold.

    Cognition +0.025 Discovery +0.006
  21. ChatGPT agent unifies browsing, research and actions

    OpenAI merges Operator and Deep Research into one agent with its own virtual computer.

    Autonomy +0.010
  22. METR RCT: AI tools made experienced developers 19% slower

    A randomised trial finds experienced open-source developers took 19% longer with early-2025 AI tools, despite believing they were 20% faster.

    Automation −0.012 Recursion −0.006
  23. Apple: "The Illusion of Thinking"

    Apple researchers report reasoning models collapse to zero accuracy beyond a complexity threshold on controllable puzzles.

    Cognition −0.005
  24. Claude 4 works autonomously for hours

    Claude Opus 4 leads SWE-bench (72.5%) and is reported to run a multi-hour open-source refactor independently.

    Autonomy +0.018 Cognition +0.006
  25. AlphaEvolve improves algorithms — and Google's own AI stack

    A Gemini-powered coding agent discovers a faster 4×4 complex matrix multiplication and recovers ~0.7% of Google's worldwide compute.

    Recursion +0.025 Discovery +0.015 Compute +0.005
  26. o3 and o4-mini use tools while reasoning

    OpenAI's reasoning models can agentically search, run code and analyse images inside their chain of thought.

    Cognition +0.010 Autonomy +0.008
  27. Gemini 2.5 Pro leads major leaderboards

    Google's first "thinking" Gemini tops LMArena and posts state-of-the-art maths and science scores.

    Cognition +0.012
  28. ARC-AGI-2 launches; frontier models score in single digits

    The harder successor to ARC-AGI sees pure LLMs at 0% and reasoning models at only a few percent, versus ~60% for human panels.

    Cognition −0.010
  29. METR: agent task length doubling every ~7 months

    METR finds the length of tasks frontier agents complete with 50% reliability has doubled roughly every 7 months for six years.

    Autonomy +0.020
  30. Claude 3.7 Sonnet and Claude Code

    Anthropic releases a hybrid reasoning model and Claude Code, an agentic command-line coding tool.

    Autonomy +0.018 Recursion +0.012
  31. Google's AI co-scientist generates validated hypotheses

    A multi-agent Gemini system proposes research hypotheses, including drug-repurposing candidates confirmed in lab experiments.

    Discovery +0.010 Recursion +0.005
  32. Deep Research agents produce analyst-grade reports

    OpenAI's Deep Research autonomously browses for up to 30 minutes and writes cited, multi-page reports.

    Autonomy +0.012 Automation +0.008
  33. Humanity's Last Exam: models below 10%

    A 3,000-question expert-written benchmark finds frontier models scoring under 10%, with poor calibration.

    Cognition −0.008
  34. OpenAI Operator browses the web for users

    A browser-using agent that can fill forms, order groceries and book travel is released to users.

    Autonomy +0.012
  35. Stargate: $500 billion AI infrastructure project

    OpenAI, SoftBank, Oracle and MGX announce plans to invest up to $500B in US AI data centres over four years.

    Compute +0.030
  36. DeepSeek-R1: open reasoning model at a fraction of the cost

    DeepSeek releases an open-weights reasoning model performing on par with o1 on maths and code.

    Compute +0.012 Cognition +0.008 Automation +0.005
  37. o3 scores 75.7% on ARC-AGI-1

    OpenAI's o3 reaches 75.7% on the ARC-AGI semi-private set (87.5% at high compute), a benchmark that resisted LLMs for five years.

    Cognition +0.035
  38. RE-Bench: agents vs. human ML researchers

    METR finds AI agents beat human experts on ML research-engineering tasks at 2 hours, but humans win decisively given 8+ hours.

    Recursion +0.010 Autonomy −0.004
  39. FrontierMath: frontier models solve under 2%

    Epoch AI's research-level maths benchmark shows leading models solving fewer than 2% of problems.

    Cognition −0.010
  40. Claude gains computer use

    Anthropic releases a model that operates a computer by looking at the screen, moving a cursor and typing.

    Autonomy +0.020 Automation +0.005
  41. Nobel Prize in Chemistry for AlphaFold and protein design

    Demis Hassabis and John Jumper share the Chemistry Nobel with David Baker for computational protein structure prediction and design.

    Discovery +0.010
  42. OpenAI o1 introduces reasoning models

    o1 "thinks" before answering using RL-trained chain of thought, jumping from 13% to 83% on an IMO qualifying exam.

    Cognition +0.040 Recursion +0.010 Compute +0.008
  43. Sakana's "AI Scientist" writes full ML papers

    An agent pipeline generates ideas, runs ML experiments and writes complete papers for about $15 each.

    Recursion +0.014
  44. AlphaProof and AlphaGeometry 2 reach IMO silver

    DeepMind's systems solve 4 of 6 problems at the International Mathematical Olympiad, scoring at silver-medal level.

    Cognition +0.020 Discovery +0.008
  45. Claude 3.5 Sonnet raises the coding bar

    Claude 3.5 Sonnet outperforms Claude 3 Opus at a fifth of the cost and solves 64% of problems in an internal agentic coding eval.

    Autonomy +0.020 Cognition +0.010 Recursion +0.006
  46. GPT-4o brings real-time multimodal interaction

    OpenAI's GPT-4o reasons across audio, vision and text in real time, at GPT-4 level, free to all users.

    Automation +0.010 Cognition +0.008
  47. AlphaFold 3 models all of life's molecules

    AlphaFold 3 predicts the structure and interactions of proteins, DNA, RNA and ligands.

    Discovery +0.014
  48. Boston Dynamics unveils all-electric Atlas

    The hydraulic Atlas is retired in favour of an all-electric humanoid designed for commercial work.

    Embodiment +0.010
  49. Nvidia announces Blackwell

    Nvidia's Blackwell platform promises large gains in training and inference throughput for trillion-parameter models.

    Compute +0.020
  50. Devin is billed as an autonomous AI software engineer

    Cognition unveils Devin, an agent that plans and executes multi-step software tasks, resolving ~14% of SWE-bench issues.

    Autonomy +0.018
  51. Claude 3 family matches GPT-4

    Anthropic's Claude 3 Opus tops GPT-4 on several reasoning benchmarks including GPQA.

    Cognition +0.015
  52. Sora generates minute-long coherent video

    OpenAI previews Sora, a video model producing up to a minute of high-fidelity video from text.

    Cognition +0.008 Embodiment +0.006
  53. AlphaGeometry solves olympiad geometry

    AlphaGeometry solves 25 of 30 IMO geometry problems, close to an average gold medallist.

    Cognition +0.012 Discovery +0.004
  54. FunSearch makes new discoveries in mathematics

    An LLM-driven evolutionary search finds new constructions for the cap set problem, a first genuine LLM contribution to an open maths problem.

    Discovery +0.012 Recursion +0.006
  55. GNoME predicts 2.2 million new crystals

    DeepMind's GNoME identifies 380,000 stable materials, an order-of-magnitude expansion of known stable inorganic crystals.

    Discovery +0.012
  56. GPT-4 passes professional exams

    GPT-4 scores around the top 10% on a simulated bar exam and accepts image inputs.

    Cognition +0.050 Automation +0.015 Autonomy +0.010
  57. Meta releases LLaMA, open weights spread

    Meta's LLaMA models match much larger systems, and their weights quickly spread to the open research community.

    Automation +0.006 Compute +0.004
  58. ChatGPT launches

    OpenAI releases ChatGPT; it becomes the fastest-growing consumer application in history.

    Automation +0.035 Cognition +0.010 Compute +0.010
  59. AlphaTensor discovers faster matrix multiplication

    An RL agent finds matrix-multiplication algorithms that beat human-designed ones, including improving a 50-year-old record for 4×4 matrices in a finite field.

    Discovery +0.012 Recursion +0.010
  60. AlphaFold DB expands to 200 million structures

    Predicted structures for nearly every catalogued protein known to science are released freely.

    Discovery +0.020
  61. PaLM scales to 540B parameters with reasoning gains

    Google's PaLM shows breakthrough performance on multi-step reasoning with chain-of-thought prompting.

    Cognition +0.012 Compute +0.006
  62. Chinchilla rewrites the scaling laws

    DeepMind shows most large models were under-trained; a 70B model on more data beats much larger ones.

    Compute +0.012 Recursion +0.003
  63. AlphaCode reaches median competitive-programmer level

    DeepMind's AlphaCode ranks around the top 54% of human competitors on Codeforces contests.

    Cognition +0.010 Recursion +0.004
  64. AlphaFold published in Nature, code released

    The AlphaFold 2 method is peer-reviewed and open-sourced, and its structure database launches days later.

    Discovery +0.015
  65. GitHub Copilot puts an AI pair-programmer in the editor

    GitHub previews Copilot, powered by OpenAI Codex, suggesting whole lines and functions as developers type.

    Automation +0.012 Recursion +0.008
  66. DALL·E generates images from text

    OpenAI shows a transformer that composes novel images from natural-language descriptions.

    Cognition +0.008
  67. AlphaFold 2 solves protein structure prediction at CASP14

    DeepMind's AlphaFold 2 predicts protein structures with accuracy competitive with experiment, addressing a 50-year-old grand challenge.

    Discovery +0.050 Cognition +0.005
  68. GPT-3 shows few-shot learning at scale

    OpenAI's 175B-parameter GPT-3 performs new tasks from a handful of examples in the prompt, without fine-tuning.

    Cognition +0.030 Compute +0.010