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Paper Citation Record · LEDGER

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme

As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.29291.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.29291 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T09:55:39.470243Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7abc8a36-1fca-4e75-b02b-8c89a450d99d · outbound

This paper cites an unresolved cited work.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:38.750444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:38.750444Z digest=sha256:3d7dfd6650401caa09037e9b7a3fd6692fd0107d070bfb355a70877d6ebc79d7

Observation 690d021b-47b7-41ef-a151-e8d04d16bbe3 · outbound

This paper cites A New General-Purpose Method to Multiply 3x3 Matrices Using Only 23 Multiplications.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme A New General-Purpose Method to Multiply 3x3 Matrices Using Only 23 Multiplications

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-03T09:59:02.132948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-03T09:55:38.844999Z digest=sha256:b0e850bea768f5d8c5dabd4a805ee617756651b0d5cfce8f68d4ce4a482e04ea

Observation d55e0bc4-6fa0-44e9-83d3-709bff5bdea4 · outbound

This paper cites de Groote.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme de Groote

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:38.914682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:38.914682Z digest=sha256:86fadc504f1fd5b8fdc6a30b46309c998065c276fe8b954ca5ba7dae7641a176

Observation b0a53209-b759-46f2-bcd5-ef25649fcaff · outbound

This paper cites an unresolved cited work.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-03T09:59:01.884938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-03T09:55:38.975594Z digest=sha256:bceda3ba13664dc6f09e0d237864c4be89fbd0dddf080edc22f2f115c1de3f3a

Observation ec56f278-a4d4-4d52-bd3b-646cc79c7f9d · outbound

This paper cites an unresolved cited work.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:39.052297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:39.052297Z digest=sha256:fa523c769ae2e87607b0201d6397ecac49fbccaa8a71abc50716c9f4723878ec

Observation 4d1e1ba2-8eb1-496c-af36-fef62fab4b9d · outbound

This paper cites an unresolved cited work.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme Unresolved cited work

Reference 6

Resolution
verified exact
doi, observed 2026-08-03T09:59:01.615837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-03T09:55:39.137821Z digest=sha256:5fbc86dffe0ce557a9f951a985719fdf429f357a83c707dbe00c2e58ccb1a0aa

Observation 315fc1d4-644d-4835-afb9-1c49c33fbb9b · outbound

This paper cites Laderman.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme Laderman

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:39.229142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:39.229142Z digest=sha256:def441e28c55770daccf04390269e4798264d0b9ce0d65348c97282fcf2f6f64

Observation 522f90e5-3875-4a0c-8fbc-60aca2d7c699 · outbound

This paper cites A rank 23 algorithm for multiplying \(3 3\) matrices with an arithmetic complexity of 59.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme A rank 23 algorithm for multiplying \(3 3\) matrices with an arithmetic complexity of 59

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:39.313349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:39.313349Z digest=sha256:3f7fd5ec47a0ffd8302870817d088164e3673b578d9c008e0b61f42aba72c230

Observation d8be3dcc-4531-4833-996c-b4ed69f21d0b · outbound

This paper cites SAT certificates for the matrix-multiplication challenges over \( _2\): Reproducibility artifact.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme SAT certificates for the matrix-multiplication challenges over \( _2\): Reproducibility artifact

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:39.404244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:39.404244Z digest=sha256:07f6d0ce5996643ef03e0d08ae30ed914992c8c724ab2ca7a28363774393af18

Observation f4f23871-4a12-432b-81bf-e768f0e9c6ec · outbound

This paper cites an unresolved cited work.

SAT Certificates for the Matrix-Multiplication Challenges over F2: All Ten `Expected-UNSAT` Instances Are Satisfiable, and a Type-3-Free Rank-23 Scheme Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T09:55:39.470243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:55:39.470243Z digest=sha256:b4f9f6e0b4b2e707a6687a5eb8b2495123f888af5e77bbdc58e57baefaa9dcd0

Pith citing papers

No inbound Pith citation observations are available.