Paper Citation Record · LEDGER

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.22113.

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

pith.paper-citation-record.v1
2506.22113 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:23:32.685950Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

18 of 18 outbound references displayed

verified exact3
verified fuzzy2
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 092e65e3-93aa-4c90-818d-5f8004a805ec · outbound

This paper cites More Asymmetry Yields Faster Matrix Multiplication , pages 2005–.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs More Asymmetry Yields Faster Matrix Multiplication , pages 2005–

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:23:36.313715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8f87865a-a75c-4058-b2cf-9d1b9e726167 · outbound

This paper cites Adaptive flip graph algorithm for ma- trix multiplication.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Adaptive flip graph algorithm for ma- trix multiplication

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.239836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a51cb1e6-4996-4494-af38-1de95f14b08c · outbound

This paper cites A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs A non-commutative algorithm for multiplying 4x4 matrices using 48 non-complex multiplications

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.332270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6228b89-302b-47fa-a3d7-90911f61d56c · outbound

This paper cites an unresolved cited work.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:23:35.966912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 564cf704-e48a-491c-bbd5-7c12fd51da1b · outbound

This paper cites Flip graphs for matrix multiplication.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Flip graphs for matrix multiplication

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.543691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25969531-fb0b-41d6-a974-f8c9748bc53d · outbound

This paper cites Consequences of the Moosbauer-Poole Algorithms.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Consequences of the Moosbauer-Poole Algorithms

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.639093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5310f1b0-6c52-4db7-9973-78a6bce0c3b8 · outbound

This paper cites Laderman.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Laderman

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:23:35.660618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eb624f70-e0bc-42d6-a062-27220ed590b5 · outbound

This paper cites an unresolved cited work.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.779656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee528f97-b5b3-4a40-bed9-bb4a0c013c7b · outbound

This paper cites Search Techniques for Matrix Algorithms.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Search Techniques for Matrix Algorithms

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-06T22:23:34.732396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 68501514-c8e7-44b0-a965-fc9ecaad376c · outbound

This paper cites Flip Graphs with Symmetry and New Matrix Multiplication Schemes.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Flip Graphs with Symmetry and New Matrix Multiplication Schemes

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.975646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6271e13-e446-4ed2-9c02-d33019c0f8d0 · outbound

This paper cites AlphaEvolve: A coding agent for scientific and algorithmic discovery.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs AlphaEvolve: A coding agent for scientific and algorithmic discovery

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:32.084944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f10ce5c-1c7c-4e75-9884-e62e576e5d72 · outbound

This paper cites Fast commutative matrix algorithms.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Fast commutative matrix algorithms

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T22:23:33.324428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 75349361-258b-4f15-9b6a-78070b838342 · outbound

This paper cites an unresolved cited work.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:23:35.352577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8fc09469-db73-492d-8912-9ceb44cdf401 · outbound

This paper cites Gaussian elimination is not optimal.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Gaussian elimination is not optimal

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:32.383450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2bb8b0d-a33f-4028-9e72-6a7017791c71 · outbound

This paper cites an unresolved cited work.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Unresolved cited work

Reference 15

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T22:23:34.231662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 028c647f-5f56-4ac0-bb94-e7b24fdb07c4 · outbound

This paper cites Winograd.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Winograd

Reference 16

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T22:23:33.826660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 059e6976-2017-47a4-9f38-63841e512cb4 · outbound

This paper cites Nazrul Islam, and ´Eric Schost.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Nazrul Islam, and ´Eric Schost

Reference 17

Resolution: verified exact; doi, observed 2026-08-06T22:23:32.951904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5a6bbf72-3be5-4428-9d0a-6b4865adbbaa · outbound

This paper cites an unresolved cited work.

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs Unresolved cited work

Reference 2039

Resolution: unresolved; no resolver link, observed 2026-08-06T22:23:31.135735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.