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Paper Citation Record · LEDGER

Relative discrepancy of hypergraphs

As of 11 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:06.953864Z digest=sha256:b0ee9d8b96d866c252e935773d04bc6e5b22d3833a6a65c2d76dda4b2c1fcd60

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.062583Z digest=sha256:be7be67533dc2a5d942a038f4f98a6b205caced9470a9ee48ff627b60cb2c02d

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.202085Z digest=sha256:d49335e63f62e7eff27eacb05b35abe334b4ea34dbf23ed5400120939e71c43c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.298923Z digest=sha256:5784203533a4b093816cbeab146109f6ac26e99d47651d155a7c8c4142b12831

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.365343Z digest=sha256:be1592fdcf53fea72649d5e00534b079d108403813dcb110ee8a7c5295f2d5d9

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.441818Z digest=sha256:a13c916a404e1c193ebddf07b80ccfe519f1ec90cc2d4b22f98d0499e6e7bce3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.577554Z digest=sha256:892fa2db8b51fa35fa3da3f9ffa6246e02cb6b65b1d1095896cf1a4770fd0334

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.649697Z digest=sha256:9d649e25da80a2e573e1db4bbe3eacc4eea0af536ed70dda3386eecb02960510

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.778366Z digest=sha256:7e283f00e06d039838178c8db4e6a2a9219b289d74a0739363648b832e02ab2c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.871738Z digest=sha256:dbe18615e21524cd54228344318932c503c6e58c82eb74ca9356697a982548e5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:07.941517Z digest=sha256:17f0467c8c44a04f3ab07f5e8f7e6b9e9a5441199cf924631cdc6c397b0460c8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.055150Z digest=sha256:90d3e51e7833cb8a02b1d105f851e9a86f6ee8e2ab97be97775546ca007d495a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.128969Z digest=sha256:c029e60bfb03bdb927fc0d82469a9980bac92a15815cb1a35a98c921d5f9681b

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.214329Z digest=sha256:43a755f9039db441dfed573683a22a10aa5790f9a52b7d33f1263becd7677cf6

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.299559Z digest=sha256:21ed136865674721f9b45e876cd1d3cc62f3dcecd4d1ef1c51b43e971e721560

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.394483Z digest=sha256:7f975fa28b99770576b47e33b17d64b5f1e2931566b3cd5300db743e57655f16

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.483957Z digest=sha256:cf2d018186795dbe786b2bb85f525f52714a71894dbcaa2f34e170f83653af22

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.580046Z digest=sha256:578d54a57c4c742c967106a50d46c490fea46ff3b6bfcadf8d636ce48d673265

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:cb54c9281c78585f12e822fc917975f9bddf94353763f7b10e7d16a69448f1d8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.757713Z digest=sha256:23b1e3e61c9b8ecbe93fbaa14a5977daa0f159279bb100eeb2910f59f16a6454

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:08.825756Z digest=sha256:9ea6658a1de772f2b5ca960ef08b98f12243d4535cdc902b3b138f33c9fb5617

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=sha256:7fce8001637abb140e70de04ab1092e9684167b4fab2c2c75e09403f1ec1eeec

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=sha256:6911a5462bfaa833643c10676e238c9c6fde0560115d5c41c34ca3ec31596528

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:09.046368Z digest=sha256:c3c05a88476a36154207a84cad474fbc10820be2e6b6b09f70eaa5714335120b

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T22:06:09.111420Z digest=sha256:c7570676e94752c98a265a157a78201ecf0193d656cfa06056573e6b76f0bdaa

Pith citing papers

No inbound Pith citation observations are available.