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Paper Citation Record · LEDGER

Ramsey numbers of sparse graphs versus disjoint books

As of 11 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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:30.372530Z digest=sha256:4ec997b1cec9b9b97053cd268f3094f228c1da58d2aaa1ac361db378297ecbe7

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:30.400347Z digest=sha256:a3be757389105b7c39a2bce7ca177a3bac4034c5f24fc7cdebb145f71d20acce

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.

source=pdf_text observed=2026-08-06T18:04:30.464074Z digest=sha256:681c3b0e64f4756aa7a641c148d51c08b3c54c0cb45dc3c2ff632490a464d76c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:30.500648Z digest=sha256:bc189eb65703dd8908e4f9d32b62c43decadc047a9b5f49676f6fea168c0281a

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.

source=pdf_text observed=2026-08-06T18:04:30.561247Z digest=sha256:311ab8d163580555c7711b47fb9f12c55c3e8cbbb519bb0fcea4edef24585a8f

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.

source=pdf_text observed=2026-08-06T18:04:30.629877Z digest=sha256:94a60eb635cdd82b289de41fde561068137067eb3d69891b72e690534a2ba51e

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.

source=pdf_text observed=2026-08-06T18:04:30.676858Z digest=sha256:022c9837f86f2f0e656a4281cc0fe0028d18d24d37f554a63ba746d1a8a35d50

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.

source=pdf_text observed=2026-08-06T18:04:30.715702Z digest=sha256:52ed80ce06b9a390803cdea7fd2455064e44d29d7adfcb6e5cdf46db45a992ab

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.

source=pdf_text observed=2026-08-06T18:04:30.768444Z digest=sha256:016a7a8e26b1898c6027f60e5281141d6e9ce905c8936c3ab73ec816f30151b3

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.

source=pdf_text observed=2026-08-06T18:04:30.847651Z digest=sha256:e24c9f2c64dd39464f043387cb75f2f58dccd0d097f617e06c3dc940981cd6ab

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:30.899706Z digest=sha256:c5162afdd2c7a31637fb4e1d84bdc3b0974e36ef59352348823767cda2c8e510

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.

source=pdf_text observed=2026-08-06T18:04:30.991177Z digest=sha256:c56573169a4e3346a9a79e65e9a42502cae0d5eff4274aaac8e48b19886f8198

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:31.060791Z digest=sha256:eee5cdd842a3d5d5e9b5a951495f51997aca49ce667ca811365f4b7d866eed6d

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.

source=pdf_text observed=2026-08-06T18:04:31.114596Z digest=sha256:421cf3ca22b786d8ab332d0cc7a6985b7ec7661d49c84099cc015ae3fd5875ec

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:31.203527Z digest=sha256:1bbb57bc173f7d74abe74a5c2c64ce03acc3d6fd34abd912359dc5a91a1d635d

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.

source=pdf_text observed=2026-08-06T18:04:31.244510Z digest=sha256:2fee0e4303aae3b2fc9eace71220bd7727d5c07240c7fa36967b1fc2d7753237

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:31.340593Z digest=sha256:8c1399d4f992452b3fbc66867cd8f3c959ee0ad4a8d3adebcfaf746d4fe23345

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T18:04:31.413970Z digest=sha256:28923c80fadbb306a0e11db8def92412185b833371aad92f5bcc4aa0c4c557ab

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.

source=pdf_text observed=2026-08-06T18:04:31.477314Z digest=sha256:d622967f134b0bb375d7946ec9e81a9655b012ea70228ee269314ad8171d05e7

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.

source=pdf_text observed=2026-08-06T18:04:31.548457Z digest=sha256:37704f0e0feb073584a2bccf1e8c905e46b3a71877435983fd444782de4f957e

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.

source=pdf_text observed=2026-08-06T18:04:31.636355Z digest=sha256:a3ae665a1257d55b7a530d3176c92f96e0c70d74991325b3d06ffe55ccd256ea

Pith citing papers

No inbound Pith citation observations are available.