Paper Citation Record · LEDGER

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs

As of 21 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2507.18506.

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

pith.paper-citation-record.v1
2507.18506 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:26:10.484788Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T20:46:12.801546Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact2
verified fuzzy5
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f17c1a80-74e9-490c-9d29-7c621e4cd344 · outbound

This paper cites an unresolved cited work.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:26:10.851638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d955ba63-7274-4378-87f7-7031ff7a98de · outbound

This paper cites Chudnovsky et al., The strong perfect graph theorem, Annal.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Chudnovsky et al., The strong perfect graph theorem, Annal

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:26:10.835290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78b7b684-0fe3-4599-938c-8dcc6248288c · outbound

This paper cites Chudnovsky and V.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Chudnovsky and V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:26:10.816094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ee249581-2ab6-4698-9263-561118856a0c · outbound

This paper cites Chudnovsky and S.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Chudnovsky and S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:26:10.796659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aa294acf-327b-4c1c-9b10-5be960617928 · outbound

This paper cites Deng and C.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Deng and C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:26:10.777168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fe9d54d0-65b3-491d-a31f-8df745e74c4e · outbound

This paper cites Gy\' a rf\' a s, Problems from the world surrounding perfect graphs, Zastos.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Gy\' a rf\' a s, Problems from the world surrounding perfect graphs, Zastos

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:26:10.759447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 972afb4e-e8da-450a-bb87-49942553e518 · outbound

This paper cites an unresolved cited work.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:26:10.739856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 598371c4-01c3-456f-ab5e-b6ba5644b180 · outbound

This paper cites On the structure of perfectly divisible graphs.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs On the structure of perfectly divisible graphs

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:26:10.718910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8426696a-a3cc-4d65-914a-c15f5bf033a0 · outbound

This paper cites an unresolved cited work.

Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs Unresolved cited work

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-15T18:26:10.689132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation e62109d4-e470-48f6-8984-10b69598bc4d · inbound

Perfect divisibility and perfect-Pollyanna in bull-free graphs cites this paper.

Perfect divisibility and perfect-Pollyanna in bull-free graphs Perfect divisions in ($P_2 \cup P_4$, bull)-free graphs

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T20:46:12.801546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.