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Paper Citation Record · LEDGER

Block structure in boolean matrices of bounded factorization norm

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2507.00872.

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

pith.paper-citation-record.v1
2507.00872 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:17:41.772832Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:39:41.408756Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a780dfc4-1661-475e-9f6a-4ecea4107077 · outbound

This paper cites On blocky ranks of matrices.

Block structure in boolean matrices of bounded factorization norm On blocky ranks of matrices

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:46.135038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.177231Z digest=sha256:c69e70f1eb20a05cd26dd8d699c9f629515b406d36c5153fd61e7a5cabc1bf6c

Observation c09208aa-a59b-4603-ba8a-3dffeecb0d46 · outbound

This paper cites Factorization norms and an inverse theorem for MaxCut.

Block structure in boolean matrices of bounded factorization norm Factorization norms and an inverse theorem for MaxCut

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T21:17:39.261817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:17:39.261817Z digest=sha256:afbc531c785a210d01290262ce6223f452d0fe8b519cb242c6d231e7919ae6c7

Observation 5f7d3496-411f-46e4-ad81-48103e15d0c7 · outbound

This paper cites On a conjecture of Littlewood and idempotent measures.

Block structure in boolean matrices of bounded factorization norm On a conjecture of Littlewood and idempotent measures

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:45.968676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.392682Z digest=sha256:932e0762aa87bd2dd2f5a4f39fc7983f74ad73eccd6fb9c005ba0c52576e2921

Observation c5ede0d7-f63c-452e-9cf5-c0f24bdad39f · outbound

This paper cites Eleftherakis, Rupert H.

Block structure in boolean matrices of bounded factorization norm Eleftherakis, Rupert H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:45.815984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.521170Z digest=sha256:9b6ff4eaa2b665998a34e697554ddaf3babaac7afdc30daca5c4638a3229fd8b

Observation 5794788c-f6f4-493d-b1d6-50451e2608cf · outbound

This paper cites Estimating the optimal margins of embeddings in Euclidean half spaces.

Block structure in boolean matrices of bounded factorization norm Estimating the optimal margins of embeddings in Euclidean half spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:45.663221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.634455Z digest=sha256:b93febb0d13f8e8294d87bba50dfbd082822eb8289417bc6ffcfcabb4ff4cb13

Observation dfcfcfb1-12e0-47ab-bc1b-e5b7389b03be · outbound

This paper cites Block complexity and idempotent Schur multipliers.

Block structure in boolean matrices of bounded factorization norm Block complexity and idempotent Schur multipliers

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:17:42.549652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.741087Z digest=sha256:8a793eefbb8320cfe7679ffa59515159dd13f9b8cff7290977be847c1fceb06c

Observation 9af271db-994c-4ecc-84a2-66b9bad55f11 · outbound

This paper cites R\'esum\'e des r\'esultats essentiels dans la th\'eorie des produits tensoriels topologiques et des espaces nucl\'eaires.

Block structure in boolean matrices of bounded factorization norm R\'esum\'e des r\'esultats essentiels dans la th\'eorie des produits tensoriels topologiques et des espaces nucl\'eaires

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:45.469990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.828866Z digest=sha256:dc86733381d819a8ecc832ef0877ba5c6ec3ba62f6c75e13726e4b221a75a7e4

Observation 70c4d874-f42b-4201-b52f-b066fe751126 · outbound

This paper cites Boolean functions with small spectral norm.

Block structure in boolean matrices of bounded factorization norm Boolean functions with small spectral norm

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:45.210319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.950681Z digest=sha256:87e6b8eff7368f4a5641cc8278d6f43a928a9cd932c399f6887c2b5f60aa7996

Observation 54bae86d-b7f6-4ebe-a0ca-c955e21a1549 · outbound

This paper cites Structure in Communication Complexity and Constant-Cost Complexity Classes.

Block structure in boolean matrices of bounded factorization norm Structure in Communication Complexity and Constant-Cost Complexity Classes

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:45.052763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.072984Z digest=sha256:b3eba0fe459ccab1cc81fbe1ba52a75f018107c18dc32d7026924474c62a77ac

Observation d311c8f8-4dba-4965-8e40-5a84e0f34503 · outbound

This paper cites Dimension-free bounds and structural results in communication complexity.

Block structure in boolean matrices of bounded factorization norm Dimension-free bounds and structural results in communication complexity

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T21:17:40.180094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:17:40.180094Z digest=sha256:41a643cddb0a23b13fed810f8a1e2bb97611d85313d5a38056e780db8f38a4e6

Observation 80b1ad97-8c9f-4508-90a9-045b3a0b03c5 · outbound

This paper cites $C_4$-free subgraphs of high degree with geometric applications.

Block structure in boolean matrices of bounded factorization norm $C_4$-free subgraphs of high degree with geometric applications

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T21:17:40.263184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:17:40.263184Z digest=sha256:8414da46b0a640c1e8318c016b024c2bcbbca391d7b6a24cce7cbba793c80bde

Observation aa1f4ea1-aebb-4048-97a0-5a2c82bb46d3 · outbound

This paper cites On the ranges of bimodule projections.

Block structure in boolean matrices of bounded factorization norm On the ranges of bimodule projections

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:44.844313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.378209Z digest=sha256:16b9bd718028f6cf2f9539d76db2f358f6fd9acb38ff2e2ed18a72db3cc4eb89

Observation 000ea389-ca53-4143-89fc-b3bb54e7c1fa · outbound

This paper cites A note on 0 - 1 S chur multipliers.

Block structure in boolean matrices of bounded factorization norm A note on 0 - 1 S chur multipliers

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:44.599676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.496117Z digest=sha256:a3a1b605bdbb657765d918d4d7bf4d45050354346313a562fc52f3c0511bed41

Observation d5cb1c28-2e84-406a-aa8f-13fae4e6b44d · outbound

This paper cites Regularity lemmas for stable graphs.

Block structure in boolean matrices of bounded factorization norm Regularity lemmas for stable graphs

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:44.263162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.588036Z digest=sha256:8982b0bb3ce5bee9d9a83b689c22ec5fa268906c0021888df444c4f2cd203461

Observation 05093240-c852-4b5d-a1f0-53e7fcecc17d · outbound

This paper cites Similarity Problems and Completely Bounded Maps.

Block structure in boolean matrices of bounded factorization norm Similarity Problems and Completely Bounded Maps

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:43.966699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.737313Z digest=sha256:d4ddea2adf6d52fe618e12bc57292ba03e50bf36093f18275bc3721f5afda496

Observation 67475add-6582-4941-8119-23edb79ad642 · outbound

This paper cites A quantitative version of the non-abelian idempotent theorem.

Block structure in boolean matrices of bounded factorization norm A quantitative version of the non-abelian idempotent theorem

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:43.707188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.853839Z digest=sha256:e0ad05fa9ee617822b77bc5b86cafce6fb951c5818216a1ea493dd874385a494

Observation 9ffafc69-f45f-4098-8a37-9b04b6ff052b · outbound

This paper cites On the structure of boolean functions with small spectral norm.

Block structure in boolean matrices of bounded factorization norm On the structure of boolean functions with small spectral norm

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:43.452224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.982980Z digest=sha256:c68f618f24acf6fe1c0fe8420822ce4cc283eb2c2d39930ad1e4180b38849812

Observation fae8653d-bd1b-4557-aca1-8cfa0bc8fd03 · outbound

This paper cites The discrepancy of greater-than.

Block structure in boolean matrices of bounded factorization norm The discrepancy of greater-than

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T21:17:41.076079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T21:17:41.076079Z digest=sha256:66b0e75f599ea421ad41368b39351583752962cef4e338447234da54097b744e

Observation 5702d859-48ef-40b2-96b5-c6ed472360e1 · outbound

This paper cites Todorov and Lyudmila Turowska.

Block structure in boolean matrices of bounded factorization norm Todorov and Lyudmila Turowska

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:43.146954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:41.277678Z digest=sha256:154cf7e84ae1805ea7b0992d3faf7d6bcd1a1d2a7985dad584610d773bea36bd

Observation 6c6a7649-23be-46f4-8ab7-81627946df93 · outbound

This paper cites The orthogonal vectors conjecture and non-uniform circuit lower bounds.

Block structure in boolean matrices of bounded factorization norm The orthogonal vectors conjecture and non-uniform circuit lower bounds

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:17:42.792211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T21:17:41.772832Z digest=sha256:a0a5eed38329f62b23b7ec6dd375bf1dd494563e6596636c96c64d968469acdc

Pith citing papers

Observation 7c4530a1-e2d8-4ad3-8be2-03faaac21dae · inbound

A characterization of idempotent Schur multipliers cites this paper.

A characterization of idempotent Schur multipliers Block structure in boolean matrices of bounded factorization norm

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T02:39:41.408756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T02:39:41.408756Z digest=sha256:b7a413398ef4bf847e6a2b136707ee8d8fcc1b62bda51838880d354ab29df9b5