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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 19 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 2026-08-19T06:32:44.657259+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=sha256:9ed2453b783556f6cb6f9cfb67261e1fbbbe5b8d3ef7f2c079ad2073e2f7d681

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-03T09:55:38.844999Z digest=sha256:131cfe76d74770f5ae53d27a0f2f0dc701dfaf125117ff8ed52af5cc715a4370

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=sha256:40b738c1488304e93d03095d61e276ae46f8c4d018518035681846fd3f84c373

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-03T09:55:38.975594Z digest=sha256:1e321766c8b74381fca7abd0631b5f2ac64da06d2b665b33c5eff42e42b32356

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=sha256:594e206857c98d9b547fee40ff0b0193e30a90a3ef8cd01b768ffda653ccce0f

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 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-03T09:55:39.137821Z digest=sha256:df523f7fd3c192b6e670abb4369f5c838f8bc4d2d4c6e0c6703df5b59be94e3d

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=sha256:7fcd9888eb240c69b079d02fe648d7143776de3da2d9a35aa5c88bdf0be53030

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=sha256:7ccfb29185e24ee8f3fd608a316f116860b6a432940c32674053f11a4fb58cb6

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=sha256:7df672a957585fee71bac4421fd71b01bcb567378a452d98dbcfc730cc647c72

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:c959c3b76adf95d763cbff6c97d96b8682bbf2d909a529dfe73c034fabc248e3

Pith citing papers

No inbound Pith citation observations are available.