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Paper Citation Record · LEDGER

Relative discrepancy of hypergraphs

As of 15 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:06.953864Z digest=sha256:5169cb1905a4473cf9548bac727902971ca3dcaed7f41ea25679b23a2c41be29

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.062583Z digest=sha256:2a9bd996fcdbf45d827e9edd21f3b973cb5af564994e17c2ff0317c2d41fcab9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.202085Z digest=sha256:c19f9da5316811f2b3569d5d2411ccbb8505f99d8d6807b31d162cdd02032892

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.298923Z digest=sha256:c8027ab8363568649312bdbf65f11ef06bbe4dc9da7a18f8f300e1966aadb064

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.365343Z digest=sha256:b94c6588f905689ad555c2aa5dcba75662b18813c7af3ce39248a5e07ddb88b9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.441818Z digest=sha256:4969b0b8d2b002fe126977306bf9d4b9c1c9cc0ed16cdf03e4fa0b1d855fff34

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.577554Z digest=sha256:37a681e77be3b2220a46f2e09a05974ec61139805b5dacb680934de4ce50b82f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.649697Z digest=sha256:77ac7883d76f0f883f5437294ff5c1ae2eae9ddbd7d1d0e5648296711c8f5f64

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.778366Z digest=sha256:98466114e925c23713a23e4e6d5a378e48397db9f2235d4137a4ace933b798fd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.871738Z digest=sha256:2df0a40717a83c290874c30654159753c713f24f11d00cfc4703e56ecae30bcd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:07.941517Z digest=sha256:52a79a10b5b87748a18c8d475041fcb4e156fd69e9998695cb2667e566eb2587

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.055150Z digest=sha256:eafb16bf3af645991bf77ac066eb5559726d1db4d2a217a2c1f065759bf0446b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.128969Z digest=sha256:8f038f231e298d9eca0d8726632c2d15c1a1c607e1814cdbae072b00eefe8c65

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.214329Z digest=sha256:e3fc6232f66fcb611b26f0a239b0ceec3d3e4c0f697b3e05f050198ca8075367

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.299559Z digest=sha256:8c04af9207c0c22b76e63ec22000d16500ab87084d635466c48876daa54c521b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.394483Z digest=sha256:fc2362b270351e47f9487e7f51c5195f58ef93c1f73b463685d0686222ffd563

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.483957Z digest=sha256:41837323441435c44d573ee09f736e3ecc79e518664c35f606a8b4a587393a53

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.580046Z digest=sha256:a97198d157e49ae662c7560411555f66845e1c15f860701b27585ccaae707499

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.757713Z digest=sha256:ae71d3603e93a1722e1c70cf71ff50fc844b9343af729521ab54a6e6fef5da3a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:08.825756Z digest=sha256:fe5db312dbd25ad883e9610990b1efb725f9dcac8b1a87ad813caffb7199aa92

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:ae161eef100f13fbc99f726d40d1cb1e535cc4046f94cf2bf62505501625fe3e

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=sha256:55510554c8f58018de2aba800ac86b024d0837e9f0e80044bea0b2c16c295b94

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:09.046368Z digest=sha256:0fa2cc7cfa1ca0d19e35361e7b38dc7a895092f80911a1b54bc009cba6ec56ab

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-06T22:06:09.111420Z digest=sha256:d5991cf2014ab4a46f1c8e8d83acbf7f7b41cf3e486de2bc56f4e7b4797d09d5

Pith citing papers

No inbound Pith citation observations are available.