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Paper Citation Record · LEDGER

Flip Graphs with Symmetry and New Matrix Multiplication Schemes

As of 14 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 3 inbound Pith citation observations for arXiv:2502.04514.

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

pith.paper-citation-record.v1
2502.04514 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T22:33:25.873144Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:23:31.975646Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T21:27:24.671422Z

Reference resolution

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd1d8457-504b-4088-840a-87ccbb3d4957 · outbound

This paper cites More asymmetry yields faster matrix multiplication.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes More asymmetry yields faster matrix multiplication

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.283672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.754019Z digest=sha256:aa83f451b3cacb6d538f869333910d605b3fddb1242c292fec39ec06703ff4e2

Observation f9af1fc2-e8e2-432a-8d2d-69e822db46f9 · outbound

This paper cites Adaptive flip graph algorithm for matrix multiplication.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Adaptive flip graph algorithm for matrix multiplication

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.268371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.759934Z digest=sha256:cf2ffdbc923d87ed2fba9adde650060e9df14afcbccc7cb520458e397e04a37c

Observation 53d68551-8a9a-4569-baca-f1c844d85850 · outbound

This paper cites Landsberg, and Nick Ryder.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Landsberg, and Nick Ryder

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.252614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.765368Z digest=sha256:4d0ddd579739bf4d4d53e83dde576b74e0bc6231eb2156764bc1bc5d36318f95

Observation f363a8da-9401-465a-8317-43eef393ade8 · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:26.237221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.771326Z digest=sha256:c1668c44c738d1016fe535fe9b1a8f5d1e5823906f6836480ba7ae2c37cb7458

Observation 84c0161f-f257-4b4e-b9a0-937fdc8c0c27 · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:26.222189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.776459Z digest=sha256:15f7c6805ddb048c8a1deefae9303e15ec0314cabb653efb3dacfbd1292d8ae3

Observation 4c5a9f4d-7ee3-4b7e-9020-b90636fcbee5 · outbound

This paper cites On automorphism group of a possible short algorithm for multiplication of 3 × 3 matrices, 2022.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes On automorphism group of a possible short algorithm for multiplication of 3 × 3 matrices, 2022

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.206945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.782712Z digest=sha256:1830b7af210a648d41d07891de86e7b5428c35497895aa1b0bfe07b2fad959e5

Observation f9ccba9c-3d91-45fd-add5-af6fea794b4f · outbound

This paper cites Matrix multiplication via arithmetic progressions.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Matrix multiplication via arithmetic progressions

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.190911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.788809Z digest=sha256:c96f3c8315b0a75fc2140aee96f34cde23e171eeb8d7653d38803bb4a2aa76d6

Observation c2f6c8d1-9ad4-4030-90d8-31fd1ef77a7e · outbound

This paper cites de Groote.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes de Groote

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.175300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.794836Z digest=sha256:92069732755444576f11f158f0b3af525adf38093ebabee9fda38930fe72ddbb

Observation aadf5e36-4e25-417c-a911-a43a6457d00f · outbound

This paper cites de Groote.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes de Groote

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.159014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.799950Z digest=sha256:9dbd1c381c4b269084fbc32cf5ecc6540079c91efc1c3e72a613a057e083d828

Observation 8f35db1d-6587-4371-8f18-5fb51e09e52f · outbound

This paper cites Nazrul Islam, and ´Eric Schost.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Nazrul Islam, and ´Eric Schost

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.144132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.805039Z digest=sha256:d403a8f42771a42942960c1985ad315fd6336d82f708852752960ebeeb598d06

Observation 99e0b0ca-b0b6-49c2-b50d-5cb2bbde3875 · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:26.129135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.810847Z digest=sha256:0e53afc90fd83769db4851f0dd3d4902262ea81e5bb669fba7fb5c40ab040ff4

Observation 37e231c1-0ac4-4c71-a804-e845cad7befc · outbound

This paper cites Grochow and Cristopher Moore.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Grochow and Cristopher Moore

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.113466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.815887Z digest=sha256:853f48a6e1084ad726d3c3d11156d86fdb36223956ab1d937e5f58643b04747f

Observation 90bd714b-8c9a-4352-bdad-6b9b938afc9f · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:26.098198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.820964Z digest=sha256:c4f8efc78303b3def6e61fdf674cde0e43fac82f184de49a883f6ea61404e6ce

Observation 67b646c5-c5cc-4816-99f2-d86c387c1d0e · outbound

This paper cites Heule, Manuel Kauers, and Martina Seidl.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Heule, Manuel Kauers, and Martina Seidl

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.081085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.826254Z digest=sha256:b3b32e067f5eda443288d61de5bdb4f06e6ba84bbe5f6a25795e83861935e66c

Observation b62c2d5b-56de-4c42-9cfd-ac60bff786eb · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:26.065467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.831065Z digest=sha256:74c448618fc1e41fe42edd5de20ead32344420192d7045b2dc3f23a4e4f59a04

Observation 23603de0-f5ec-4f6d-8a61-cbaad42dbbfc · outbound

This paper cites Flip graphs for matrix multiplication.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Flip graphs for matrix multiplication

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.049892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.835906Z digest=sha256:3dccfba90c419dcccc8e0e10aaaf89601dd32d77ae68283e6df560e0ec5a7e1e

Observation 0230d9f1-42b7-4137-b2ac-0702f1b6ef97 · outbound

This paper cites Some new non-commutative matrix multiplication algorithms of size (n, m, 6).

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Some new non-commutative matrix multiplication algorithms of size (n, m, 6)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.033912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.840431Z digest=sha256:9a6fe86fb3951cceda7186a00415c31d75c0595730705ab26da9cf27cf87f893

Observation 37e0add0-5328-498a-917c-7b96c4e41be2 · outbound

This paper cites Laderman.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Laderman

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:26.017749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.845110Z digest=sha256:f14194c35a4e556f74dbc54f0e64783685459b681712b254971a1c8efe508d68

Observation 4ed1be37-92da-45d3-985b-0768d8bc2e15 · outbound

This paper cites A non-commutative algorithm for multiplying (7 x 7) matrices using 250 multiplications.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes A non-commutative algorithm for multiplying (7 x 7) matrices using 250 multiplications

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:25.999205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.850049Z digest=sha256:ee3986f269a5abe1ac88477b41884f69c33cabdc67a1d2d5f2072770f42147c4

Observation 3a9028d2-e0a8-4384-8fed-bf260959dac0 · outbound

This paper cites Yet another catalogue of fast matrix multiplication algorithms.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Yet another catalogue of fast matrix multiplication algorithms

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:25.982400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.854560Z digest=sha256:c402e2a8f85af9ae1b21225ac5a8a1db91cdfc4fe2b7dd12ecdcebdf3ad9bf44

Observation 63eea558-ab6f-47b7-b3de-0ca584ec64cf · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:25.946475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.864124Z digest=sha256:42522f4d7f8e10cea98ece5fcc9dacc607695512ea27b8d05b63affaed91da1b

Observation b08b8634-bf92-4c1d-a71b-89a60fe38770 · outbound

This paper cites Gaussian elimination is not optimal.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Gaussian elimination is not optimal

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:25.930132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.868446Z digest=sha256:a01984edea5e2c97f4a6cc8b7403c5dfdb58cb5db20937f307d84057b6abe2a9

Observation 0459a406-06c0-4821-8da5-c437ff78af92 · outbound

This paper cites Cambridge Univ.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Cambridge Univ

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T22:33:25.911943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.873144Z digest=sha256:f5d42091f1a77452b4af237a3e12ee04ee2516b22c1375eef1bc39ac1041a20e

Observation 24e9a276-c822-47bb-a468-686a0bcd2845 · outbound

This paper cites an unresolved cited work.

Flip Graphs with Symmetry and New Matrix Multiplication Schemes Unresolved cited work

Reference 2023

Resolution
unresolved
raw_fallback, observed 2026-08-08T22:33:25.965231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-08T22:33:25.859693Z digest=sha256:fc6115ad78b599d7116c8d60f09bb0e07107c8e0d31277bb58caa39f0b21eb90

Pith citing papers

Observation d0a96050-a98b-4435-aa4f-000a86c2fb5c · inbound

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

AlphaEvolve: A coding agent for scientific and algorithmic discovery Flip Graphs with Symmetry and New Matrix Multiplication Schemes

Reference 73

Resolution
verified exact
arxiv_id, observed 2026-05-10T21:27:24.676772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-05-10T21:27:23.987121Z digest=sha256:db51d6088e3d3333650b26bb6890542178e9277b832e0f25899f3d6b0404846e

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

Exploring Commutative Matrix Multiplication Schemes via Flip Graphs cites this paper.

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.

source=pdf_text observed=2026-08-06T22:23:31.975646Z digest=sha256:81edca838f83745492381078ce24700f09e3de263acf83895926df2d80fb7c4a

Observation 6aac84ff-d491-4b6d-89eb-5cd2e68b2d41 · inbound

Towards Faster Feasible Matrix Multiplication by Trilinear Aggregation cites this paper.

Towards Faster Feasible Matrix Multiplication by Trilinear Aggregation Flip Graphs with Symmetry and New Matrix Multiplication Schemes

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T05:41:53.963023Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T05:41:53.963023Z digest=sha256:e4888538409d4a796c89958e8581ffd731f4bdc46e543682474b99e9ef250400