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Paper Citation Record · LEDGER

Relative discrepancy of hypergraphs

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:06.953864Z digest=sha256:06032fcd4a34ab9af7c1cfff0a14d457537b5bbdfc29f7ed22a7316ea1f1624a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.062583Z digest=sha256:0afbfffa5fc9d3cbb7905f0ed6d05d241f80de772ff2d6379980864e9dec4454

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.202085Z digest=sha256:f236e2f5b411d12d17013f078b7043f26b04c47b35f2feb0e558d29e942e84f9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.298923Z digest=sha256:e1764bfecc238fb166068eedd12d359f7401a5f5a0379b401fb42f5a5c1b1ff4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.365343Z digest=sha256:d3b54d1ef2a17b79787d53ceb1454f7729c58d580883b297e661fc8bf250e32d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.441818Z digest=sha256:d3dc75ee6c0a04aa72ee51579b0200c4a7cbb430a66ca6fc5a071846faa88d99

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.577554Z digest=sha256:d01124c6dfc9d126ffefed51111b2d2d61d3b506ab654015eba6f59c7a749877

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.649697Z digest=sha256:c7653af3d185091391660e09883423d96805449c1172550c6bf0e87b7d066602

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.778366Z digest=sha256:e2486cf386ef0138d216ff70fcc0cff752e050484da3393dc15a2dd8b98fa52e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.871738Z digest=sha256:3994b2dd5aca2a0e1f610baaae4589907d777479f992359d9f4c9bc071235e30

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:07.941517Z digest=sha256:dea0808b5a82e9bb6cf9df8f19633fa74473daa1e03fc0697fb2e0e214533ed5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.055150Z digest=sha256:46093edd1995fb69b68b6ce3f34488550e798f3cb6826d5c9f98a966a91353b6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.128969Z digest=sha256:3dcb0b88124d3ac147531ebb8dfb0e128a69f2ea9cb62d20ed9c9f8c43bf114d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.214329Z digest=sha256:f415f713b056b2d474e6a08c6c99f4e3ae35127d28e791c4f2b8d8b53510f685

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.299559Z digest=sha256:3494f0729f2f7dca8cd485e2f82a3664303925ab7ee0da865ec76a713d15991c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.394483Z digest=sha256:6e43cb16f6f20c84aa8f3f81988ca14f14e9e2dd34920e1bd71cdf3e915d9e3f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.483957Z digest=sha256:2a7dd317b5ad2ab9e3e8b2fbb1a3e3d8755d714e3deacfda35811a3c00338c7b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.580046Z digest=sha256:6dd80134bd34bbea06352ca8e82327618f916d044bc5082d3bf543d4374a8cf6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.757713Z digest=sha256:a1923216ec2679bcd435bc51798e1e6b09f04046e0ea970ae6dfbf986c962310

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:08.825756Z digest=sha256:8f3df3121b1d710a29c283459e5202b0395c1dc3d2c5b6a9af5bfc634c522a50

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:09.046368Z digest=sha256:820e8136ff37c4d921be5660746bde261e6eeb0f5e99d870cd713f2344f0379a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:06:09.111420Z digest=sha256:7124a532c315dc25deeae25f63ff0e85057223dbb116eb9def284e7bf0375fc6

Pith citing papers

No inbound Pith citation observations are available.