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Paper Citation Record · LEDGER

Relative discrepancy of hypergraphs

As of 22 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.23264.

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

pith.paper-citation-record.v1
2506.23264 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:06:09.111420Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

25 of 25 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 41263503-3fdc-45ac-af5a-ba6de3de0044 · outbound

This paper cites an unresolved cited work.

Relative discrepancy of hypergraphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:06:12.942421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:06.953864Z digest=sha256:c0da85559ea3af3f7255a3faf6f3c2bc50366c0b909f5c4ca1586782b789e19b

Observation 3d232c65-d41a-4b1d-b6ff-ed01d0976ab3 · outbound

This paper cites Discrepancy in graphs and hypergraphs.

Relative discrepancy of hypergraphs Discrepancy in graphs and hypergraphs

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:12.618504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.062583Z digest=sha256:e6adef90b63fab4b447dbc607840f683b23027c278dcf5c35407c1b9ef0797e0

Observation f8bbc6d9-7459-4b7a-a2d4-1df76bf2bed0 · outbound

This paper cites Intersections of graphs.Journal of Graph Theory , 66(4):261–282, 2011.

Relative discrepancy of hypergraphs Intersections of graphs.Journal of Graph Theory , 66(4):261–282, 2011

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:12.279724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.202085Z digest=sha256:d0a704fefa43fda8e5ab8d9f6ee8a859d2807e246caaefd27dbf36014d9ddf9e

Observation b81d9f8c-5bee-49c5-b49d-5879e5b988cd · outbound

This paper cites Intersections of hypergraphs.Journal of Combinatorial Theory, Series B , 110:180–208, 2015.

Relative discrepancy of hypergraphs Intersections of hypergraphs.Journal of Combinatorial Theory, Series B , 110:180–208, 2015

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:11.991418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.298923Z digest=sha256:788b6fa143f925db1e1064e5e3e85c8299412a2c058a1b2a26e0f322f03e7d61

Observation 8ee75219-a1a3-407d-8dca-813396b6aa48 · outbound

This paper cites Intersections of random hypergraphs and tournaments.European Journal of Combinatorics, 44:125–139, 2015.

Relative discrepancy of hypergraphs Intersections of random hypergraphs and tournaments.European Journal of Combinatorics, 44:125–139, 2015

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:11.681294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.365343Z digest=sha256:e1f84e984bafd44ba5e4154d11ab7ab25f2d63e1155a669faae237ec695e6325

Observation 53f974ad-e26d-430e-9bdf-3fca227c6597 · outbound

This paper cites The Discrepancy Method: Randomness and Complexity.

Relative discrepancy of hypergraphs The Discrepancy Method: Randomness and Complexity

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:11.359811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.441818Z digest=sha256:625fb341f709c485f568303d72668001cdfa66f010fa9798166458da353d8843

Observation 15f57143-1b75-435c-bd3d-0b799933568b · outbound

This paper cites an unresolved cited work.

Relative discrepancy of hypergraphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:06:11.008120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.577554Z digest=sha256:61203fe2f39cb4983e21756ecb763f2e7f10556287fa8740d0516c8deba00c21

Observation bd15912b-134f-4663-b1e7-e96675d6c092 · outbound

This paper cites an unresolved cited work.

Relative discrepancy of hypergraphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:06:10.923099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.649697Z digest=sha256:ef488051bec38c34e66b2afef06d4bdbafe48c181f1c84db4641aa08d085bf4b

Observation ff713a5e-d95f-468b-ada6-9872b479f91c · outbound

This paper cites Empirical verification of the even Goldbach conjecture and computation of prime gaps up to4 × 1018.

Relative discrepancy of hypergraphs Empirical verification of the even Goldbach conjecture and computation of prime gaps up to4 × 1018

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:10.790612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.778366Z digest=sha256:e5d2f483affb89e3921bfbe3f9e130e73f5d8e80a46faf64f1776f34296cab6f

Observation dc160182-446b-4a5f-ad8e-f8d9bee23840 · outbound

This paper cites Erdős and J.

Relative discrepancy of hypergraphs Erdős and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:10.712358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.871738Z digest=sha256:762a922e0ba44aa113d4d2418ad54a0b74afdf3574bbcdd6d2edaa6b53015d37

Observation 05273fa8-a8af-4099-93d4-534517a3228d · outbound

This paper cites Cutting a Graph into Two Dissimilar Halves.Journal of Graph Theory, 12(1):121–131, 1988.

Relative discrepancy of hypergraphs Cutting a Graph into Two Dissimilar Halves.Journal of Graph Theory, 12(1):121–131, 1988

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:10.600368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:07.941517Z digest=sha256:8e0c6ddbfa2d58760824c088af2db802c9813e3b865dd168eb759ffc67b476a7

Observation 26e06258-1fcf-4ffe-8617-f86d43235352 · outbound

This paper cites An Orthogonal Basis for Functions over a Slice of the Boolean Hypercube.Electronic Journal of Combina- torics, 23(1):P1.23, 2016.

Relative discrepancy of hypergraphs An Orthogonal Basis for Functions over a Slice of the Boolean Hypercube.Electronic Journal of Combina- torics, 23(1):P1.23, 2016

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:10.501707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.055150Z digest=sha256:6d667b5651b67ec793a508f5e1b27848ec1a1047e331d6e11826a80a8b74b861

Observation e201e892-3b35-46da-af8d-a36566285e9a · outbound

This paper cites Harmonicity and Invariance on Slices of the Boolean Cube.Probability Theory and Related Fields, 175(3-4):721–782, 2019.

Relative discrepancy of hypergraphs Harmonicity and Invariance on Slices of the Boolean Cube.Probability Theory and Related Fields, 175(3-4):721–782, 2019

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:10.390132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.128969Z digest=sha256:e6d51ae64201fe69606f794656a20b39f038f54d07e2cec03b694c9f2e9b8102

Observation d2493a0d-84a4-4d18-84e4-c51a2db31aa0 · outbound

This paper cites Unavoidable patterns.Journal of Combinatorial Theory, Series A , 115(8):1561–1569, 2008.

Relative discrepancy of hypergraphs Unavoidable patterns.Journal of Combinatorial Theory, Series A , 115(8):1561–1569, 2008

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:10.278917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.214329Z digest=sha256:475d63e887c13334ec099e3e612a04f06b53c63a354f7b826feb72d07b0aa612

Observation 2ab31c8b-9c1f-4baa-8a14-699fbd7680b6 · outbound

This paper cites an unresolved cited work.

Relative discrepancy of hypergraphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:06:10.166937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.299559Z digest=sha256:dadb305de6edbeaf07679ca775911ca8b895edda9337d3cde7d21fbdd6b3710f

Observation e2f9933b-5cbf-4d64-b6c3-226e46dfccc1 · outbound

This paper cites an unresolved cited work.

Relative discrepancy of hypergraphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:06:10.056168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.394483Z digest=sha256:4286f89fb0da0d84335d8e7c819f0c213179de6f9c1eb666e4078edd946fc10f

Observation 020a8552-4c6a-447b-945b-c1ef65b4c1f2 · outbound

This paper cites an unresolved cited work.

Relative discrepancy of hypergraphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:06:09.936700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.483957Z digest=sha256:6f510c5d1dca763fca3dcae72f3523cacb263b914b0db97ade04d44862085679

Observation 4458d26e-f776-4d4c-b647-52594ff5668a · outbound

This paper cites The edge-statistics conjecture for hypergraphs.

Relative discrepancy of hypergraphs The edge-statistics conjecture for hypergraphs

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:06:09.267356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.580046Z digest=sha256:e5e127384433c3e1f2e82ff6343bb16bb1496409b982f0f7f8f7a39feff5ab6e

Observation a7c7272b-7d8b-4ad9-8369-dc876c210805 · outbound

This paper cites The existence of designs.

Relative discrepancy of hypergraphs The existence of designs

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T22:06:08.666515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:06:08.666515Z digest=sha256:5c312b88d665829d6abe4bd2de05475c270dde635a728345a2832c17fbd5ead8

Observation 98157abf-7ddb-4cc0-bfce-db4206e9fd28 · outbound

This paper cites Anticoncentration for subgraph statistics.Journal of the London Math- ematical Society, 99(3):757–777, 2019.

Relative discrepancy of hypergraphs Anticoncentration for subgraph statistics.Journal of the London Math- ematical Society, 99(3):757–777, 2019

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:09.822817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.757713Z digest=sha256:45132fdf70aa8c2dc1b14319309949adb85757222ec7a24301c39bd776bae3bf

Observation ae1c1e43-d3c9-4ecc-990d-ab747016096c · outbound

This paper cites Discrepancy of random graphs and hypergraphs.Random Structures & Algorithms, 45(2):253–271, 2014.

Relative discrepancy of hypergraphs Discrepancy of random graphs and hypergraphs.Random Structures & Algorithms, 45(2):253–271, 2014

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:09.724344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:08.825756Z digest=sha256:c75f1716145a7a0beb6fc2ce4315d3fbcacacc356eb46667b2d1f01fbd9f1e15

Observation 52608dba-2a17-4f6c-9be0-92c34dd82b30 · outbound

This paper cites Positive discrepancy, MaxCut, and eigenvalues of graphs.

Relative discrepancy of hypergraphs Positive discrepancy, MaxCut, and eigenvalues of graphs

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T22:06:08.911450Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:06:08.911450Z digest=sha256:11c63c9482ddf7c57f7e5113d552dec7f8f56e54d8fdaf84ca594e7337f6c58d

Observation 4c9d4fce-57db-435a-838a-d422d95ca718 · outbound

This paper cites Bisection Width, Discrepancy, and Eigenvalues of Hypergraphs.

Relative discrepancy of hypergraphs Bisection Width, Discrepancy, and Eigenvalues of Hypergraphs

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T22:06:08.974004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:06:08.974004Z digest=sha256:eb761c2a591cde3b3e42e5fef2e6cbbdf79851a1a3751021353fddee45e77989

Observation 1fc8ee2b-9f2d-4230-9e65-9775fbe48dea · outbound

This paper cites Srinivasan.

Relative discrepancy of hypergraphs Srinivasan

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:09.616766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:09.046368Z digest=sha256:54211d893d086ece70a6cf976ef2c181fa3de4f2268efc52fd2e06f5fbade401

Observation 79b1c38e-539f-44b9-8e0d-bd1d3999e4b1 · outbound

This paper cites von zur Gathen and J.

Relative discrepancy of hypergraphs von zur Gathen and J

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:06:09.462666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T22:06:09.111420Z digest=sha256:4c18e201fd0e0888a19eadf06f40fd0a2907429b92d432b430e3cf8aebd6da69

Pith citing papers

No inbound Pith citation observations are available.