Paper Citation Record · LEDGER

Random Cayley graphs and random sumsets

As of 18 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 3 inbound Pith citation observations for arXiv:2509.02561.

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

pith.paper-citation-record.v1
2509.02561 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:53:15.491462Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T23:52:59.328436Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T11:39:46.806047Z

Reference resolution

23 of 23 outbound references displayed

verified exact0
verified fuzzy16
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation aa7b42fc-fbdc-42f8-97a2-d4dbab786f79 · outbound

This paper cites Alon, Large sets in finite fields are sumsets, J.

Random Cayley graphs and random sumsets Alon, Large sets in finite fields are sumsets, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.989743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9bea7769-4cb0-4c1e-9544-99b0886d8181 · outbound

This paper cites Alon, The chromatic number of random Cayley graphs, European J.

Random Cayley graphs and random sumsets Alon, The chromatic number of random Cayley graphs, European J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.967838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 972075bb-ba78-4d24-b22d-980cc8c3f47f · outbound

This paper cites an unresolved cited work.

Random Cayley graphs and random sumsets Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:15.950930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d9b0ff77-cd95-4670-b5fa-852f34f5e489 · outbound

This paper cites Alon and A.

Random Cayley graphs and random sumsets Alon and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.929966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 79219783-0f96-47fd-a5b2-14706645cd2d · outbound

This paper cites Alon and J.

Random Cayley graphs and random sumsets Alon and J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.910842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8da8b5aa-64be-4a76-9f99-40be92e13a0d · outbound

This paper cites Campos, G.

Random Cayley graphs and random sumsets Campos, G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.891397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7053d747-58bb-4e9d-a848-8da6d643dbde · outbound

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

Random Cayley graphs and random sumsets On the clique number of random Cayley graphs and related topics

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:53:15.363320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdb2f6f1-9d7b-48d3-9b07-450750cc0747 · outbound

This paper cites Croot, I.

Random Cayley graphs and random sumsets Croot, I

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.873720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 005eecae-9160-4f64-8909-e846fc2afad9 · outbound

This paper cites an unresolved cited work.

Random Cayley graphs and random sumsets Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:15.856765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ab86ddf4-4e16-4cf8-b4d7-39439956d85e · outbound

This paper cites an unresolved cited work.

Random Cayley graphs and random sumsets Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:15.837171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2371d105-83ce-45e6-bdeb-d79614b84a1b · outbound

This paper cites an unresolved cited work.

Random Cayley graphs and random sumsets Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:15.818164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 51634460-a4d4-49b2-bd5f-2b4a89173b55 · outbound

This paper cites Green, Arithmetic progressions in sumsets, Geom.

Random Cayley graphs and random sumsets Green, Arithmetic progressions in sumsets, Geom

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.800023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 64771d9c-e6f8-4d44-9bf2-3bcde326e0cf · outbound

This paper cites Green, Counting sets with small sumset, and the clique number of random Cayley graphs, Combinatorica 25 (2005), 307–326.

Random Cayley graphs and random sumsets Green, Counting sets with small sumset, and the clique number of random Cayley graphs, Combinatorica 25 (2005), 307–326

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.777773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c88c299b-63c0-4b24-829b-e51ba2f60883 · outbound

This paper cites Green, 100 open problems, Manuscript.

Random Cayley graphs and random sumsets Green, 100 open problems, Manuscript

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.759134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 73307cc7-b745-453e-8663-f40091393c2c · outbound

This paper cites Green and R.

Random Cayley graphs and random sumsets Green and R

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.742185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c0503529-4a9b-4483-a721-768ed6afe81d · outbound

This paper cites Green and I.

Random Cayley graphs and random sumsets Green and I

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.720690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c146a8c4-dde9-4dd5-ac09-d4c6cc4d069c · outbound

This paper cites Kahn and G.

Random Cayley graphs and random sumsets Kahn and G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.699627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 87aa417d-da9d-4e72-970c-bf6e11db01a8 · outbound

This paper cites Kohayakawa and R.

Random Cayley graphs and random sumsets Kohayakawa and R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.680596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d35e4896-7b10-443a-8941-075939b2d29f · outbound

This paper cites Lovett, personal communication.

Random Cayley graphs and random sumsets Lovett, personal communication

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.661160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f6dfec76-ebf1-47de-9bea-4b79ec85a23e · outbound

This paper cites Nenadov, A remark on the independence number of sparse random Cayley sum graphs, arXiv preprint (2025).

Random Cayley graphs and random sumsets Nenadov, A remark on the independence number of sparse random Cayley sum graphs, arXiv preprint (2025)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.637717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 26165191-1789-4bfd-b158-a3edb20dc169 · outbound

This paper cites Park and H.

Random Cayley graphs and random sumsets Park and H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:53:15.611266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e0365820-b6f4-4ea2-bb03-061b8848cd18 · outbound

This paper cites an unresolved cited work.

Random Cayley graphs and random sumsets Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:15.590495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1b33c5fb-5834-4557-a560-b8aa8e68d42f · outbound

This paper cites an unresolved cited work.

Random Cayley graphs and random sumsets Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:53:15.569096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation d6e269db-7589-4366-a1b6-1a01ee8d1eed · inbound

Sumsets of random sets cites this paper.

Sumsets of random sets Random Cayley graphs and random sumsets

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-06-29T14:33:31.028823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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

Coloring sparse random Cayley graphs cites this paper.

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 2026-08-18T06:34:40.430872+00:00.

Observation 589b0293-4d38-4243-bb60-da36576d1835 · inbound

Dense sets without large sumsets cites this paper.

Dense sets without large sumsets Random Cayley graphs and random sumsets

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T23:52:59.328436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.