Paper Citation Record · LEDGER

Proof of a conjecture of Voss on bridges of longest cycles

As of 19 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2509.06345.

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

pith.paper-citation-record.v1
2509.06345 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:37:10.776127Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

40 of 40 outbound references displayed

verified exact2
verified fuzzy17
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 200bfd4c-9f01-41e0-b7c5-5049a7d34f85 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.463332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 523e36a8-b338-4fba-a375-424c36c3b0a9 · outbound

This paper cites Auslander and S.

Proof of a conjecture of Voss on bridges of longest cycles Auslander and S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.444942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de71c48a-4603-45ed-adda-9c54b506b15c · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.424473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de1c2ef5-f40a-49ea-a6da-5494bce97542 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.405716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 52267de3-cfdd-4802-ac04-9a603c75d3bb · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.390293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 47203636-1346-48bf-8117-5c68dffaadcf · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.374667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bdaaa447-6d1c-4b65-a5f6-60dc70ca19c8 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.356827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8326a05c-0f18-4ae5-8b69-909921ec05c2 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.340192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92db1085-a904-4e2e-996e-e77507b9c511 · outbound

This paper cites Chen and X.

Proof of a conjecture of Voss on bridges of longest cycles Chen and X

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T16:37:10.611682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bfca1c2-c8a8-482f-979e-a90b11605fa4 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T16:37:10.616726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60474a15-c38c-4b2a-9dd9-0a7e957ec3ff · outbound

This paper cites Chiba and T.

Proof of a conjecture of Voss on bridges of longest cycles Chiba and T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.300502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 927595b8-3259-4a60-896b-02a58de77020 · outbound

This paper cites Longer cycles in vertex transitive graphs.

Proof of a conjecture of Voss on bridges of longest cycles Longer cycles in vertex transitive graphs

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T16:37:10.628774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ef34a8b-ab15-407e-af79-736c8988eb5f · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.281742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e2e979c-fb36-400c-bb38-3733fcde3dae · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.249831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6e0a1460-bf93-4bd8-815a-f98f578c6baf · outbound

This paper cites Groenland, S.

Proof of a conjecture of Voss on bridges of longest cycles Groenland, S

Reference 15

Resolution: verified exact; doi, observed 2026-08-15T16:37:10.820625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a6714ba8-daec-47b3-96cf-3d54d892297d · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.235771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d74fde4d-1b37-49df-9260-6afb39c22467 · outbound

This paper cites Hopcroft and R.

Proof of a conjecture of Voss on bridges of longest cycles Hopcroft and R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.200936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c8266f70-83e4-4cbb-bba9-18d402b17bf5 · outbound

This paper cites Gr¨ otschel.

Proof of a conjecture of Voss on bridges of longest cycles Gr¨ otschel

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.221055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 875cd06c-3e6a-4cdb-8336-b9808ddf973a · outbound

This paper cites Jackson and X.

Proof of a conjecture of Voss on bridges of longest cycles Jackson and X

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.169322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1e96c086-d92e-4731-9714-e3da9b4404a9 · outbound

This paper cites Jackson and N.

Proof of a conjecture of Voss on bridges of longest cycles Jackson and N

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.184842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 028da7a0-a98f-40ed-a495-be58c3f159ea · outbound

This paper cites Kawarabayashi and K.

Proof of a conjecture of Voss on bridges of longest cycles Kawarabayashi and K

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.136374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4199a74d-8fac-4ede-b0b8-aabfd7ccd66c · outbound

This paper cites Kawarabayashi, J.

Proof of a conjecture of Voss on bridges of longest cycles Kawarabayashi, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.152563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d25b4711-0380-4fb0-8529-1c973b956cd6 · outbound

This paper cites Small hitting sets for longest paths and cycles.

Proof of a conjecture of Voss on bridges of longest cycles Small hitting sets for longest paths and cycles

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:37:10.844499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0bf9d54a-45db-467a-b32f-c73a87a2336c · outbound

This paper cites Intersections of longest cycles in vertex-transitive and highly connected graphs.

Proof of a conjecture of Voss on bridges of longest cycles Intersections of longest cycles in vertex-transitive and highly connected graphs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T16:37:10.696068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5b9559b-26b8-4f90-850f-5a6120dd0325 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:11.102121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cecbcb10-e6e9-4177-aa6b-d00142120200 · outbound

This paper cites Ozeki and C.

Proof of a conjecture of Voss on bridges of longest cycles Ozeki and C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.118339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1180008f-40d3-4d3d-a1b5-5f082158471a · outbound

This paper cites Thomas and X.

Proof of a conjecture of Voss on bridges of longest cycles Thomas and X

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.071467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation abb75af8-4f51-407a-86c4-6f27a6c30e50 · outbound

This paper cites Shabbir, C.

Proof of a conjecture of Voss on bridges of longest cycles Shabbir, C

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.086985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 77b48ad0-0e80-4bc9-abfe-7e53100fb1e5 · outbound

This paper cites Thomas, X.

Proof of a conjecture of Voss on bridges of longest cycles Thomas, X

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.039941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 878d653e-3d01-45aa-a750-40731c9cdcc5 · outbound

This paper cites Thomas and X.

Proof of a conjecture of Voss on bridges of longest cycles Thomas and X

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.055127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f452c788-2c5a-49ae-8211-0f9be603c5db · outbound

This paper cites Thomassen.

Proof of a conjecture of Voss on bridges of longest cycles Thomassen

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.011208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d854b677-24c0-41b7-bd2e-b858e7016d66 · outbound

This paper cites Thomassen.

Proof of a conjecture of Voss on bridges of longest cycles Thomassen

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T16:37:10.729583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a02bd79d-df2a-4e67-9b8a-65748a8d46a1 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T16:37:10.746402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aace0538-9326-4f44-82ff-dae786125fd6 · outbound

This paper cites Thomassen.

Proof of a conjecture of Voss on bridges of longest cycles Thomassen

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:10.995871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1f1f5afe-abf1-4b21-bf1f-f714d6b4f255 · outbound

This paper cites Voss.Cycles and bridges in graphs, volume 49 ofMathematics and its Applications (East European Series).

Proof of a conjecture of Voss on bridges of longest cycles Voss.Cycles and bridges in graphs, volume 49 ofMathematics and its Applications (East European Series)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:10.949246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cd610714-c1b3-4a93-abf7-38918766ad74 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:10.968501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a99592f-4973-4c1b-a306-403f63e4e737 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:10.913558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 23e5ed4c-aad3-462a-955f-98856269ab1a · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:10.931665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e6c1479f-58af-4d7f-87d0-ba8c04b43897 · outbound

This paper cites an unresolved cited work.

Proof of a conjecture of Voss on bridges of longest cycles Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:37:10.897439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92e3f353-b954-4f91-8c9a-acd9013bc4c4 · outbound

This paper cites Contract No.

Proof of a conjecture of Voss on bridges of longest cycles Contract No

Reference 1963

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:37:11.265149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.