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Paper Citation Record · LEDGER

Erd\H{o}s--P\'{o}sa property of cycles that are far apart

As of 5 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 4 inbound Pith citation observations for arXiv:2412.13893.

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

pith.paper-citation-record.v1
2412.13893 v4

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T06:54:50.319610Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T01:29:18.818841Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T18:17:33.924599Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6d958026-8638-4b18-9a57-781f28315ba9 · outbound

This paper cites Pascal Gollin, Tony Huynh, and O-joung Kwo n.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart Pascal Gollin, Tony Huynh, and O-joung Kwo n

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T06:55:29.319620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:595d62f754c616cd9f479b0496fec6c1dbec051d577da7c6704e37e7c6577f98

Observation 3e3f9e56-1571-4290-82a2-ab8039c3bc16 · outbound

This paper cites On independent circuits contained in a graph.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart On independent circuits contained in a graph

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T06:55:29.300844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:0ef0953744f753f0d14c7bfb2917df158a20f48a5aa47beb92a758b200472eb0

Observation b092c9d7-5021-4e67-870a-522d5ba0649d · outbound

This paper cites Graph minors and metric spaces.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart Graph minors and metric spaces

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-23T06:55:28.149250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:fa1a942a9f44d01ba44a15689b1e68565b9dbad292af317c2e8987d91e479a92

Observation 88bd4ca3-6236-4411-a2f8-58c4871dd7f6 · outbound

This paper cites A Helly-type problem in trees.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart A Helly-type problem in trees

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T06:55:29.304800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:1a13e0dc5f27935873a9680f391c74853a8166cc280ba2433752d68de7e623c5

Observation 4552864c-00e9-486e-bb16-544e505ee7b0 · outbound

This paper cites an unresolved cited work.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-23T06:55:29.308146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:cdfba4fa52f614848b0f941362a51f5590115a2c24e4bc98f82413e9dec476f0

Observation 49ec7203-e8d9-4034-8d11-18d2c44cbfa2 · outbound

This paper cites A new proof and generalizations of a theo rem of Erd ős and Pósa on graphs without k + 1 independent circuits.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart A new proof and generalizations of a theo rem of Erd ős and Pósa on graphs without k + 1 independent circuits

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T06:55:29.312085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:69c4242c1be666d0fa74702fb12142cffdeec469eb67fbe0e4d83a40bd5c9276

Observation e299fa51-77d8-4996-864f-72a9aea6c59b · outbound

This paper cites By the inductive hypothesis, there exists B′ 1.

Erd\H{o}s--P\'{o}sa property of cycles that are far apart By the inductive hypothesis, there exists B′ 1

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T06:55:29.316508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T06:54:50.319610Z digest=sha256:17535959316444dbaf87fb21f29215bdc7c7fe88aa69277953917f2f6ffde8ff

Pith citing papers

Observation fca676c1-7fb8-4703-b28f-f0236efd8af5 · inbound

An Erd\H{o}s-P\'osa theorem for cycles and faces of distinct lengths cites this paper.

An Erd\H{o}s-P\'osa theorem for cycles and faces of distinct lengths Erd\H{o}s--P\'{o}sa property of cycles that are far apart

Reference 8

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T00:06:37.724988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:47a8c56f9ccb3e80d1b220a1a83a845a77748e970fdeaba46388ec9d4b2409c8

Observation e8fbe289-2bc8-40f8-a648-c07116eb0af1 · inbound

A coarse block-cut tree theorem cites this paper.

A coarse block-cut tree theorem Erd\H{o}s--P\'{o}sa property of cycles that are far apart

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-07-09T20:16:29.566964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T20:02:04.063195Z digest=sha256:a2995dde46825ad4380a48221dcca1d35c620e188c89b9d8879c8e9cedab3e18

Observation 699f22a7-d853-489e-bccf-16efe6076188 · inbound

Induced Erd\H{o}s--P\'osa property for long holes, long thetas, and beyond cites this paper.

Induced Erd\H{o}s--P\'osa property for long holes, long thetas, and beyond Erd\H{o}s--P\'{o}sa property of cycles that are far apart

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-07-10T18:17:33.925790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-07-10T18:15:14.678055Z digest=sha256:1b9a48710134f3cde61d76c030c5c4a8475751990e3ccb9b021384e7fb9dff96

Observation 64d79f1e-7adf-4bb7-ac70-5e104572ae28 · inbound

Forbidding anticomplete planar minors: Induced Erd\H{o}s--P\'osa property and Maximum Independent Set in QP cites this paper.

Forbidding anticomplete planar minors: Induced Erd\H{o}s--P\'osa property and Maximum Independent Set in QP Erd\H{o}s--P\'{o}sa property of cycles that are far apart

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-13T01:29:18.818841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T01:29:18.818841Z digest=sha256:73d89bf4a172a153232e9aca66d6ad2dde68d4f9c32d7a6c16feb9d89fef2e7e