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Numerical certificate and reproduction report

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Reading source record 2fb3f2ecafd3233dbca390d73e764fe6e04a9c7d. View default cited record →

Overview

The exact dyadic input centre, interval audits, tail bounds and standalone checker support the computer-assisted witness.

Source publication and attributed assessments are distinct from independent OpenMath review.

Passages

The exact passages cited in OpenMath. Each passage identifies how its wording was recorded.

Passage 1 · OpenMath paraphrasePermalink

REPRODUCTION_REPORT.md; validation archive; Zenodo DOI 10.5281/zenodo.21765287

The exact dyadic input centre, interval audits, tail bounds and standalone checker support the computer-assisted witness.

Passage details

Passage ID: schiffer-pompeiu:entry:certificate:v1

Source item: certificate

Source record: schiffer-pompeiu:source:certificate:v1

Used in

Explicit citations in versioned problem publications. A citation records a use; it does not confer proof or independent verification.

Schiffer and Pompeiu conjectures →

Problem publication v7

Problem context · 3 citations

Research activity

Compare the two evidence routes

The analytic witness has frozen numerical input data and a certificate; the bifurcation construction has a separate C² formal theorem.

Neither external project has been executed by OpenMath.

Files

Linked manuscripts, code and data. External proof reports, statement correspondence and OpenMath execution are separate checks.

Code

Frozen numerical certificate archive ↗

No OpenMath execution recorded

Source reports rigorous interval and exact rational verification. OpenMath has not run the certificate or reproduced its numerical audits.

Resource revision: 2fb3f2ecafd3233dbca390d73e764fe6e04a9c7d

Credits

Recorded authorship

Matthew J. Colbrook · George Stepaniants

Matthew J. Colbrook, George Stepaniants

AI involvement not reported

No specific AI contribution is attributed by this source record.

Versions

OpenMath source records preserve exact citations. Observation dates order these records; they do not establish the latest upstream paper or proof.

  1. 2fb3f2ecafd3233dbca390d73e764fe6e04a9c7d · selectedObserved Oct 13, 2026 · used in current publications

    Numerical certificate and reproduction report

Record details
Source ID
schiffer-pompeiu-certificate
Record ID
schiffer-pompeiu:source:certificate:v1
Recorded title
Numerical certificate and reproduction report
Revision
2fb3f2ecafd3233dbca390d73e764fe6e04a9c7d
Observed
Oct 13, 2026
Source updated
Not recorded
Content SHA-256
66b8c4fcf6bf61f9a529ad70af05de7cdfc8970d3d92bfbf2bfa911033f5f0be
Update method
Compare the exact source and publish a new immutable curation revision.
Identifier policy
Stable source identity with exact versioned passages.
Check interval
90 days
Rights
metadata-link
License
Original source license and document rights apply.

OpenMath supplies its own mathematical paraphrases and links; proof text is not republished.

Source terms ↗