Pith. sign in

Paper Citation Record · LEDGER

Block structure in boolean matrices of bounded factorization norm

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.177231Z digest=sha256:94c723d76bae847e3fc7933b1a68eee086b3d55bef751eedd7ed9415d47fd0dc

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.392682Z digest=sha256:a7a28500b00206f2c053d7b479320f564e0fff5286841343bcda72a7e753ca33

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.521170Z digest=sha256:bbb29850e846c1f9ee8be057af425065baca7776262c9669628cacb0b68d4552

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.634455Z digest=sha256:420264043beeb84d8b2b7c796e1f27564e3fdf58df422846379ac10debc62399

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.741087Z digest=sha256:b5d6a7fa1f0f7f44b3f55991e6f34eed01a05d5fd3c7d84dcfccf371c83cb436

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.828866Z digest=sha256:28870717f0d65b01e1d3ac8a2321efc288e746bd21613de2adc5c27e6ebb5a77

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:39.950681Z digest=sha256:ef07b319b75f5462ec012d854384c2204cd2fed5f0f883ab00931de71f25bed3

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.072984Z digest=sha256:abf7a492e9761031e6bd78e12ef85a8a4bc5962627ac5b840a1ad557d74803a8

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.378209Z digest=sha256:012e7bec3bb8edd3975765ff60b87a2f6c09cd2aebda0bcffe70a76c706c6b63

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.496117Z digest=sha256:394422863af0c1c93619d934f131aff25ed6c34861d5b888d7fa459fef742d45

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.588036Z digest=sha256:f686e6b4360fb092eac939c6b958135917674f3d6c7aadbd58bd08d6e20a1ee1

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.737313Z digest=sha256:ba804f560f33365f6320f5d9c5c5b6b6f0f0840736f7dc5aa054cc21d044f57a

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.853839Z digest=sha256:817bc245a5e274ab1aa34d57dd307731ce529e10937f33458379e5a41bd172f3

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:40.982980Z digest=sha256:7977e32033cedd55c57db87bf2b7afc2cb81eb80393df5984e921eab5bc0dbe0

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:41.277678Z digest=sha256:49ca682917188d2ff8de0f82f76c0e6c1309a34d92b1c7278678c60eae7a67ec

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 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-06T21:17:41.772832Z digest=sha256:5c172abdb63e667e7e0d0df05655d78e6ebf7464c1e2ff750112c0074fb3a626

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