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Paper Citation Record · LEDGER

Ramsey numbers of sparse graphs versus disjoint books

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:30.372530Z digest=sha256:5c319122ba43c82e8fc4b17c87530114e52c000889c5b3b9ccf2b956278b3b7d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:30.400347Z digest=sha256:06041a7fade0253ffe498861df1af729d80488d427afebea4f08af3c1f6319b6

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:e6f9401420c4ef80a0943eb5213263423a148cc591664cadf1eda5f3599fe34e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:30.500648Z digest=sha256:4e3209a95946a6832cfc0165ae6d925f52bd4d354111cbd0e622691d0850c9f5

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=sha256:835071efb4b5a0d7449e5396262d2da70f49d344d143b6fd22c38065085e4013

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:cc259cce610f0d6a1b9cd3233edffa62e03d655f5aaa884966017772f1b062f2

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=sha256:1c392a7e1c02902e2ab141f512d24f0daa55bffa14f3eb907dde4f8f5046abaa

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=sha256:2041938fde0492cc0e627a2cf1dd57416681cb5b7023dc4953f92b67f5c57428

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=sha256:40894ed4f06a5e66d680462e94804f7ad7c40a9f152b9d5611895d433585bcfe

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:fbaa903ffe4e14d68510f636d16cacb53d9828a9822d559c769353d3e2f8e43e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:30.899706Z digest=sha256:b77ecfb265bd017dc55ae2d3efba61103fb706bfffb34d4591390099831e6c3a

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=sha256:99b95f070426f62ae5c49c20267013d4ae9708fbe55511e35845b0ccbe9e7bec

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:31.060791Z digest=sha256:c42a059cb0eca1517f41f99bf801c31bd432ddf424dd6d53d209680075ddd5cf

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=sha256:53e6cd02cfe32bbcabd7d141bfb6117c7da4b5f4ebdfdfd63719cbbf4863f526

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:31.203527Z digest=sha256:ac7614d956048ad9cf4019b953508a3b6b9458a7894c17f2a0288433e44bb04a

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=sha256:15da1da50523241ceb67675ecd8ced8d8df5f485af2325b503fb9b9f55c4bc6c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:31.340593Z digest=sha256:1dc6b71d2978c9ac8974410ba798243296fa3eb667b4fe9ffde0b2e81e2f4a18

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T18:04:31.413970Z digest=sha256:e243e2347759385eadf0aba8ec4458c099263f488fe8faea0cf1f7f83db59867

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=sha256:8a211adf0ee81b126ce37a73422fb3058b84cfb445e2003ab3047c387953c5f5

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=sha256:0d8f3b814c5611fa9a11a1a2b00cf0272f9692108a2bdeb316d112cbdfa2b62c

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:e6d7a2676486b743e42aa53997d87904ba22275f5af1225abd5c5d6281b7bec3

Pith citing papers

No inbound Pith citation observations are available.