Paper Citation Record · LEDGER

Coloring sparse random Cayley graphs

As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2606.23762.

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

pith.paper-citation-record.v1
2606.23762 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T07:50:43.153960Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-03T22:24:35.160412Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-03T22:29:00.015797Z

Reference resolution

14 of 14 outbound references displayed

verified exact4
verified fuzzy0
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c7e6ad79-5c22-4430-b065-5674fc8203f0 · outbound

This paper cites Alon and Y.

Coloring sparse random Cayley graphs Alon and Y

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb994a11-354a-4b02-bd51-3b64f058393e · outbound

This paper cites Combin.34(2013), no.

Coloring sparse random Cayley graphs Combin.34(2013), no

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3240afa6-0ada-4fc6-8b90-11b853483007 · outbound

This paper cites Random Cayley graphs and random sumsets.

Coloring sparse random Cayley graphs Random Cayley graphs and random sumsets

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-04T11:39:46.807657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9567e30c-0a8b-4858-8dc4-be8ca74557d6 · outbound

This paper cites 2, 271–284.

Coloring sparse random Cayley graphs 2, 271–284

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b58ac70b-10f7-4abb-9ad5-adb9bcf258a9 · outbound

This paper cites Randomly piercing algebraic sets.

Coloring sparse random Cayley graphs Randomly piercing algebraic sets

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-07-04T11:39:46.802220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c8f59007-b91b-4c74-83cc-9a6fcc2275d8 · outbound

This paper cites Bourgain,Ruzsa’s problem on sets of recurrence, Israel J.

Coloring sparse random Cayley graphs Bourgain,Ruzsa’s problem on sets of recurrence, Israel J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd82511e-a6e6-4ee5-b039-2646dc2ae24f · outbound

This paper cites an unresolved cited work.

Coloring sparse random Cayley graphs Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 196713fe-ddbc-4de3-93ed-cc3d850896c6 · outbound

This paper cites On the clique number of random Cayley graphs and related topics.

Coloring sparse random Cayley graphs On the clique number of random Cayley graphs and related topics

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-04T11:39:46.804885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ccf3c14b-a3dc-4fef-b2e3-d07c5b5d49c0 · outbound

This paper cites an unresolved cited work.

Coloring sparse random Cayley graphs Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd4eb3f3-3b59-4292-9800-c3b1b855a891 · outbound

This paper cites 3, 307–326.

Coloring sparse random Cayley graphs 3, 307–326

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 288b004d-6545-4cad-ab0b-5cc1e0a94262 · outbound

This paper cites 2, 129–159.

Coloring sparse random Cayley graphs 2, 129–159

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f47e43e-828e-436c-bfef-e724e3923cf5 · outbound

This paper cites Hoffman,On eigenvalues and colorings of graphs, Graph Theory and its Applications (Proc.

Coloring sparse random Cayley graphs Hoffman,On eigenvalues and colorings of graphs, Graph Theory and its Applications (Proc

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9629b1cf-223f-424a-ba34-b8d0903da80d · outbound

This paper cites A remark on the independence number of sparse random Cayley sum graphs.

Coloring sparse random Cayley graphs A remark on the independence number of sparse random Cayley sum graphs

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-04T11:39:46.810223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4e7d84af-36c3-4011-b605-12051dc6a6a4 · outbound

This paper cites Stein and Rami Shakarchi,Fourier analysis, Princeton Lectures in Analysis, vol.

Coloring sparse random Cayley graphs Stein and Rami Shakarchi,Fourier analysis, Princeton Lectures in Analysis, vol

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T07:50:43.153960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 2e3d53c0-c088-42a2-97d8-999ede2efbed · inbound

Linear equations and chromatic thresholds in $B_h$ sets cites this paper.

Linear equations and chromatic thresholds in $B_h$ sets Coloring sparse random Cayley graphs

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-01T12:45:44.342325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 42293041-8d08-4205-b0b3-f96b63afbaae · inbound

Linear equations and chromatic thresholds in $B_h$ sets cites this paper.

Linear equations and chromatic thresholds in $B_h$ sets Coloring sparse random Cayley graphs

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-03T22:29:00.017173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.