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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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.754019Z digest=sha256:4d650d7f0572261298bdb372787d476d94fe6c7115389ca3e5ab687b6f310c3d

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.759934Z digest=sha256:1587b2a1ed42bfaa5e49a3fbf8cda343f3eac6bb8509515ed6776ca935bded60

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.765368Z digest=sha256:47f44bedde246e18f223379cfca4eeecddb1ca403cea7e53a548ec49eaaf1218

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.771326Z digest=sha256:ba8f87c2eb1c44d7fbffb109e859e99d827b5528831482c8bc98f76793bb83f8

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.776459Z digest=sha256:8174d9c532347936f19d73014f9e13c7d2fb5e7a4eb0e6b64e1050493bd72d1b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.782712Z digest=sha256:1191942f3e90fb75e738d508f2b733224868a561eb22e6a9f195127ed52085a3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.788809Z digest=sha256:fc3c2a03f1177ff0567a03014300cd83eab243d926703911d5fd14ec00ce8054

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.794836Z digest=sha256:2e9c5fe84859f2a772aa1a1fadfe7af0d2c999a77da7efb9535d5726d46350ca

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.799950Z digest=sha256:4d7eb17caf411ff3747e776ff441d2d9744743b4893d37b74303ebf69fb768e4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.805039Z digest=sha256:1b877650da5c0f1a91c7419b169e33b25f2e01513ac18bc2f38f7d2568392e7f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.810847Z digest=sha256:60156ad0722b1e196dd28059e5a76d32e1216618a2863a9fe891b4a851d68901

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.815887Z digest=sha256:0538173741f1b20e3a554d62e1bf6997c7eab7946262d68ff1c0267a3039b61b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.820964Z digest=sha256:03f686abb6811e2700afbc7bb31915a7930365dc2434d555cdbb8ef876b83190

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.826254Z digest=sha256:be4cbafac4b150c3ba44855060398ced397e58ffafd6102a0dadc110de1fc269

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.831065Z digest=sha256:30816477f0f710190c567feb36a50a3f9da2111c63729ebe2506a3c83f8d8301

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.835906Z digest=sha256:47875e86a3cfdaa15634ada28690c19b6ca47efdf183a7dd097efb2463ec68a4

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.840431Z digest=sha256:d81adeabb58e2d73d8dc773ba776c906661890969b5654504a7e1d17195346d2

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.845110Z digest=sha256:f34601d9a28108d2c2a6ae48891a8283b547b5d6d49d17e03e74588b36e0fab8

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.850049Z digest=sha256:ad439d7325bfbb63c8fecdedda66e364ee66e59df9d1ba16c5edcea687f05b8f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.854560Z digest=sha256:4db64da473fb840f21c0d3f029eb1bc762b5b4070bed02a9683efed35fbe2595

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.864124Z digest=sha256:857ec17f3939992efda6fc0808d2bfa0a80eec3fb81605d1974bdcb5c71bfc66

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.868446Z digest=sha256:73ef43791a5e1bcdfc7c08cadbe37e444d0a2e76f61890085ea1e36c158b0778

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.873144Z digest=sha256:29242b511c5240e53d7547f28324bb2425c44d5e3d72cce7ad460bc3efd6d4ca

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-08T22:33:25.859693Z digest=sha256:971d1fbb7a373fa602371d33c55c9a1331495fa5abe54f996710a553c6d3ad33

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T21:27:23.987121Z digest=sha256:c6085f93a3d9494ac1d360f4b124e04412421df06dd4c4428fc7b99f4b1081ac

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:e6ad972b217c90f11ac63439b0881e94b9873fadb3cd93ae49f81a5fe202a1e1

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