Paper Citation Record · LEDGER

Borel Polychromatic Number of Grids

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2508.18559.

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

pith.paper-citation-record.v1
2508.18559 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:14:09.806188Z

measured 13 of 13 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

13 of 13 outbound references displayed

verified exact2
verified fuzzy9
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6a7e00f-1248-49b2-b8db-e814f3e1c30f · outbound

This paper cites Polychromatic colorings of plane graphs.

Borel Polychromatic Number of Grids Polychromatic colorings of plane graphs

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:10.048499Z

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.

Observation 92480af2-94ba-4699-b268-0a1f8ea70c28 · outbound

This paper cites Separating complexity classes of LCL problems on grids.

Borel Polychromatic Number of Grids Separating complexity classes of LCL problems on grids

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:14:09.901168Z

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.

Observation 4baee1b1-0e3c-46e8-a95f-8dbd5bde8783 · outbound

This paper cites Distributed algorithms, the lov´ asz local lemma, and descriptive combina- torics.

Borel Polychromatic Number of Grids Distributed algorithms, the lov´ asz local lemma, and descriptive combina- torics

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:10.031833Z

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.

Observation 28416828-32cc-4859-9087-c8e6fcb737f2 · outbound

This paper cites Polychromatic Colorings of Unions of Geometric Hypergraphs.

Borel Polychromatic Number of Grids Polychromatic Colorings of Unions of Geometric Hypergraphs

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:14:09.879794Z

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.

Observation 8b660304-88b8-4eda-ab29-837f94539ba9 · outbound

This paper cites Conley, Steve C.

Borel Polychromatic Number of Grids Conley, Steve C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:10.016099Z

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.

Observation 0dad87bb-7120-4be2-8be6-dd7a34254a0d · outbound

This paper cites Borel Combinatorics of Abelian Group Actions.

Borel Polychromatic Number of Grids Borel Combinatorics of Abelian Group Actions

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T17:14:09.769824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd5045bb-9f7a-444e-a903-1ffca81f38fe · outbound

This paper cites Group colorings and bernoulli subflows.

Borel Polychromatic Number of Grids Group colorings and bernoulli subflows

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:09.997496Z

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.

Observation e80341be-6903-4912-a5ae-3c5067bf0388 · outbound

This paper cites From descriptive to distributed.

Borel Polychromatic Number of Grids From descriptive to distributed

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T17:14:09.779967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ff6313f-be66-4b15-b31b-88e3ba31d508 · outbound

This paper cites Descriptive graph combinatorics.

Borel Polychromatic Number of Grids Descriptive graph combinatorics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:09.980976Z

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.

Observation 2bf91e3d-8003-49e0-b34b-1faa99e4e01c · outbound

This paper cites Topics in orbit equivalence.

Borel Polychromatic Number of Grids Topics in orbit equivalence

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:09.965249Z

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.

Observation c797bc3e-9773-41d4-8290-23fa9b683010 · outbound

This paper cites Borel chromatic numbers.

Borel Polychromatic Number of Grids Borel chromatic numbers

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:09.949168Z

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.

Observation f7a8c746-e0a8-4684-872b-9cbf6600dbb6 · outbound

This paper cites Marks and Spencer T.

Borel Polychromatic Number of Grids Marks and Spencer T

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:09.933839Z

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.

Observation 7fda331e-78ba-4270-8d5f-79dda688f4e8 · outbound

This paper cites Polychromatic Coloring for Half-Planes , page 118–126.

Borel Polychromatic Number of Grids Polychromatic Coloring for Half-Planes , page 118–126

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:14:09.918270Z

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.

Pith citing papers

No inbound Pith citation observations are available.