Paper Citation Record · LEDGER

Ramsey numbers of sparse graphs versus disjoint books

As of 14 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2507.09827.

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

pith.paper-citation-record.v1
2507.09827 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:04:31.636355Z

measured 21 of 21 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

21 of 21 outbound references displayed

verified exact0
verified fuzzy5
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e9af1210-5b00-4e50-916f-6de2e5d5d657 · outbound

This paper cites Andr´ asfai, P.

Ramsey numbers of sparse graphs versus disjoint books Andr´ asfai, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:04:32.942339Z

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.

Observation b9c5e1b8-85a6-49b5-ad5e-16658d8a9a4e · outbound

This paper cites Bondy and P.

Ramsey numbers of sparse graphs versus disjoint books Bondy and P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:04:32.816748Z

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.

Observation 9f17433c-cc04-4373-8260-ab4fd1f939c4 · outbound

This paper cites Burr, Ramsey numbers involving graphs with long suspended paths, J.

Ramsey numbers of sparse graphs versus disjoint books Burr, Ramsey numbers involving graphs with long suspended paths, J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.464074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8c5aadc-91a5-42d4-8f6d-42a80c0763f1 · outbound

This paper cites an unresolved cited work.

Ramsey numbers of sparse graphs versus disjoint books Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:04:32.662985Z

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.

Observation c7f4ec50-433b-4f98-8dda-0c225a299123 · outbound

This paper cites an unresolved cited work.

Ramsey numbers of sparse graphs versus disjoint books Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.561247Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd29caac-26f1-4af7-b672-a8b9eec3dba4 · outbound

This paper cites an unresolved cited work.

Ramsey numbers of sparse graphs versus disjoint books Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.629877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bafaabad-651d-4646-ad2e-470739e88131 · outbound

This paper cites An exponential improvement for diagonal Ramsey.

Ramsey numbers of sparse graphs versus disjoint books An exponential improvement for diagonal Ramsey

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.676858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10b569f7-8466-4da2-992a-3c850c2d84a6 · outbound

This paper cites Chv´ atal, Tree-complete graph Ramsey numbers, J.

Ramsey numbers of sparse graphs versus disjoint books Chv´ atal, Tree-complete graph Ramsey numbers, J

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.715702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01564217-bf00-4d0a-a524-ab94bcc9f086 · outbound

This paper cites Chv´ atal and F.

Ramsey numbers of sparse graphs versus disjoint books Chv´ atal and F

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.768444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53ef3351-dba0-4968-9a65-b47bbb5aa310 · outbound

This paper cites Erd˝ os, R.J.

Ramsey numbers of sparse graphs versus disjoint books Erd˝ os, R.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.847651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c7a2520-f8d4-415c-9e85-68a112ac0e84 · outbound

This paper cites Faudree, C.

Ramsey numbers of sparse graphs versus disjoint books Faudree, C

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:04:32.491249Z

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.

Observation 4e0fd405-b4f0-42e5-97c4-af467a0d0a1a · outbound

This paper cites Erd˝ os, R.J.

Ramsey numbers of sparse graphs versus disjoint books Erd˝ os, R.J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:30.991177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d70c514c-e7e0-4799-8b9a-bed86931204a · outbound

This paper cites an unresolved cited work.

Ramsey numbers of sparse graphs versus disjoint books Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:04:32.371670Z

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.

Observation 2e48692b-1ee1-4e86-bac1-7e2b30da73ee · outbound

This paper cites Hall, On representatives of subsets, J.

Ramsey numbers of sparse graphs versus disjoint books Hall, On representatives of subsets, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:31.114596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30b978f2-c2f5-488f-b284-35c84dc7f51b · outbound

This paper cites an unresolved cited work.

Ramsey numbers of sparse graphs versus disjoint books Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:04:32.220733Z

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.

Observation ba262d83-13a5-474b-913e-9ea76ab2efc7 · outbound

This paper cites Minimum degree and sparse connected spanning subgraphs.

Ramsey numbers of sparse graphs versus disjoint books Minimum degree and sparse connected spanning subgraphs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:31.244510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27d28aa0-7cd6-495a-b707-a0e0b2f822a5 · outbound

This paper cites Lin and X.

Ramsey numbers of sparse graphs versus disjoint books Lin and X

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:04:32.099765Z

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.

Observation 380885c2-39fb-48e6-b4a8-30df42a7ecca · outbound

This paper cites Luo and Y.

Ramsey numbers of sparse graphs versus disjoint books Luo and Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:04:31.939295Z

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.

Observation 53300be7-c156-4ee5-9396-c88c237793bb · outbound

This paper cites Rousseau and J.

Ramsey numbers of sparse graphs versus disjoint books Rousseau and J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:31.477314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b43329e-9129-450a-b3ff-cc6842231992 · outbound

This paper cites Shi, Ramsey numbers of long cycles versus books or wheels, European J.

Ramsey numbers of sparse graphs versus disjoint books Shi, Ramsey numbers of long cycles versus books or wheels, European J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:31.548457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 905ed611-0e22-4845-b29f-3f66087ee47c · outbound

This paper cites Zhang and Y.

Ramsey numbers of sparse graphs versus disjoint books Zhang and Y

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T18:04:31.636355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.