State of Proof

2026-02-14-openai-first-proof · Proof evaluation · Queued record

Ten independent First Proof attempts form a calibration corpus; attempt 2 is the first blinded examination target

Queued calibration record · five gates mapped · no examination route has run

Current record status

What this docket currently establishes

Queued calibration record · five gates mapped · no examination route has run. This docket identifies what has been checked and what remains open. It does not validate or reject the manuscript's headline claim beyond the explicitly stated scope.

Claim
Ten independent First Proof attempts form a calibration corpus; attempt 2 is the first blinded examination target
Source version
OpenAI First Proof attempt packet · revised packet
Source SHA-256
27e97e4f61610cb31120c68bc8845b7a7b65bb2bfd044ffc4bb6f3b4d17f8102
Source locked
Last material update
Next open step
Freeze the blinded attempt-2 working bundle and version-delta record without leaking the known external comparator label
Machine-readable record
JSON record · Atom change feed

One-minute summary

This case is not one theorem and will not receive a corpus-wide pass or fail. The locked packet contains ten independent proposed solutions. Attempt 2 is the first blinded negative-control target; OpenAI's public assessment is held out until the lab's status and evidence are frozen.

For non-specialists

Why this matters

A nontechnical reading of the claim and its possible consequences. These are implications to consider, not findings of this docket.

In plain English

This is a test case for evaluating mathematical proofs rather than a single theorem claim. It treats ten proposed solutions as separate items and begins with one attempt whose outside assessment is withheld during the initial review.

If the claim holds

If the protocol works as designed, it could provide a carefully blinded comparison between a documented examination process and an already-known external assessment. It would not make a corpus-wide judgment about all ten attempts.

Potential concerns

The review must keep the outside assessment concealed until its own evidence and status are fixed, while also tracking changes between source versions. The selected attempt requires specialist review in its underlying mathematical field.

If it does not hold up

If the blinding or version-control procedure cannot be maintained, this calibration exercise would not support a clean comparison. That would not itself decide whether any individual proposed solution is correct.

Scope of this docket

The protocol locks and compares the original and revised packets, segments all ten attempts, examines attempt 2 under label withholding, applies a common evidence rubric, and compares frozen dispositions with external labels only after unblinding.

Claim and dependency map

  1. G1 · queued record

    Source-version lineage for the original and revised packets

    Depends on: two locked packet hashes

  2. G2 · queued record

    Ten-way claim segmentation

    Depends on: G1

  3. G3 · queued record

    Blinded mathematical examination of attempt 2

    Depends on: sealed comparator sources

  4. G4 · queued record

    Common scoped rubric across reviewed attempts

    Depends on: frozen attempt maps

  5. G5 · queued record

    Comparator unblinding and calibration

    Depends on: frozen lab outputs

Examination routes

computational
Queued · updated 2026-08-26
Planned: deterministic extraction and structured diff of the 67-page original and 90-page revised packets.
Method and provenance · Planned Material Shift route derived from the locked source and calibration protocol; no run is recorded.
Inputs · locked source · published claim map
literature
Queued · updated 2026-08-26
Planned: pre-approved source set for the blinded attempt-2 dependency examination.
Method and provenance · Planned blinded source route; no literature conclusion is recorded.
Inputs · locked source · published claim map
expert
Queued · updated 2026-08-26
Planned: independent specialist review with prior-exposure disclosure and no access to held-out labels.
Method and provenance · No specialist report, sign-off, or external review is recorded.
Inputs · locked source · published claim map

Findings and scope limits

  1. No examination route has run and no mathematical finding has been issued.

  2. The public external label for attempt 2 is comparator data only. It cannot be copied into the lab's result.

Open Steps—where expert eyes are needed

Automorphic forms and examination methodology · examination not started

Does attempt 2's compact/Howe-vector construction satisfy its equivariance, support, central-character, and nonvanishing requirements?

It tests whether the protocol can reach an attempt-level result without contaminating the examination with a known external label.

Source record and provenance

The current and original packets are preserved separately. OpenAI's public label for attempt 2 is a held-out comparator, not a State of Proof finding.

Selected and maintained by Material Shift as protocol research. No external sponsor or author involvement is recorded for this case.

Retrieved .

Preservation
The record preserves source lineage, retrieval metadata, and hashes. A public Wayback snapshot was found, but it has not been hash-compared with the locked docket file.
Record provenance
The record is a Material Shift protocol artifact. External labels are held-out comparator data, not State of Proof findings.
Author contact
No author outreach, correspondence, response, or author approval is recorded for this docket. Contact the record steward.

Version and record history

  1. record provenance

    2026-02-14-openai-first-proof

    Record classified as queued; source preservation, route provenance, and author-contact state published

  2. new docket

    2026-02-14-openai-first-proof

    Original and revised packets locked; five calibration gates mapped; no gate run

Statuses describe evidence collected for a defined scope. They are not peer-review decisions, publication recommendations, or certificates of mathematical truth.