Paper Citation Record · LEDGER

The Hamilton cycle space of random graphs

As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 3 inbound Pith citation observations for arXiv:2506.19731.

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

pith.paper-citation-record.v1
2506.19731 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:45:35.837654Z

measured 31 of 31 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:59:18.465439Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T13:46:59.766588Z

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy12
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 46e15cb4-9f57-429a-9cd4-89ffde1e772f · outbound

This paper cites Alspach, S.

The Hamilton cycle space of random graphs Alspach, S

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.739659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa788faf-e4e1-466a-a7e0-ef7800a5d57e · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:45:36.112773Z

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 5014571e-afe0-497d-8de6-c7874c05d457 · outbound

This paper cites Ben-Shimon, A.

The Hamilton cycle space of random graphs Ben-Shimon, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.101819Z

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 f1b9462e-058f-4ddf-9886-3e805bfd4d3e · outbound

This paper cites Bollob´ as, The evolution of sparse graphs, in Graph Theory and Combinatorics (Cambridge, 1983), Academic Press, London, (1984), 35–57.

The Hamilton cycle space of random graphs Bollob´ as, The evolution of sparse graphs, in Graph Theory and Combinatorics (Cambridge, 1983), Academic Press, London, (1984), 35–57

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.090357Z

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 2d65e2b8-8bf8-470a-b48b-44faf63fbe28 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.755338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a307e405-24c1-4ccb-993d-244645b5bb0b · outbound

This paper cites The Hamilton space of pseudorandom graphs.

The Hamilton cycle space of random graphs The Hamilton space of pseudorandom graphs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.758987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c7d3b16-f22e-4e12-9cba-2a85185ac966 · outbound

This paper cites DeMarco, A.

The Hamilton cycle space of random graphs DeMarco, A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.763123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8fed110a-efd9-4384-b742-8d70a36be109 · outbound

This paper cites Dragani´ c, S.

The Hamilton cycle space of random graphs Dragani´ c, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.065787Z

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 be50af01-8173-4a9f-95ef-3c4ddbb1ebb0 · outbound

This paper cites Dragani´ c, M.

The Hamilton cycle space of random graphs Dragani´ c, M

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.770068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a0b6d00-8077-4e41-98ae-12a3637f3a4a · outbound

This paper cites Hamiltonicity of expanders: optimal bounds and applications.

The Hamilton cycle space of random graphs Hamiltonicity of expanders: optimal bounds and applications

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.773573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 411d7bc2-d2d5-4bfe-87b5-58c43f7f94b4 · outbound

This paper cites Erd˝ os and A.

The Hamilton cycle space of random graphs Erd˝ os and A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.050026Z

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 013db744-cd55-4f4a-ad30-efebc763f9a1 · outbound

This paper cites Ferber, G.

The Hamilton cycle space of random graphs Ferber, G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.039329Z

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 8fde78bd-f695-4060-b9b4-153faada65ad · outbound

This paper cites Frieze and M.

The Hamilton cycle space of random graphs Frieze and M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.028967Z

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 39973d98-2225-49ce-9059-821181f3eeee · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.788012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12e80619-ac63-4db6-9989-219c325db4f7 · outbound

This paper cites Hefetz, M.

The Hamilton cycle space of random graphs Hefetz, M

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.791428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2650706-b244-47c6-83fb-1a13505e896b · outbound

This paper cites Hefetz, D.

The Hamilton cycle space of random graphs Hefetz, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:36.006402Z

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 cb5ccc54-721e-47c9-9800-95c7b4e414b9 · outbound

This paper cites Heinig, On prisms, M¨ obius ladders and the cycle space of dense graphs, European Journal of Combinatorics 36 (2014), 503–530.

The Hamilton cycle space of random graphs Heinig, On prisms, M¨ obius ladders and the cycle space of dense graphs, European Journal of Combinatorics 36 (2014), 503–530

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.798389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 978ab245-f8de-4815-bd27-778171d51964 · outbound

This paper cites When Hamilton circuits generate the cycle space of a random graph.

The Hamilton cycle space of random graphs When Hamilton circuits generate the cycle space of a random graph

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.801784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd7d5cf7-6be5-43e8-a0a4-70b99d98a094 · outbound

This paper cites Janson, T.

The Hamilton cycle space of random graphs Janson, T

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.805566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ace0706c-3360-453a-b685-838e43ff75c2 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:45:35.982666Z

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 a2d26a19-4abf-4382-96e3-93f2cb341df3 · outbound

This paper cites Koml´ os and E.

The Hamilton cycle space of random graphs Koml´ os and E

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:35.970899Z

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 e02a8f23-8ffe-45ac-affd-da1561963aa0 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:45:35.959586Z

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 c0b0ac53-a67e-4812-a733-24939792c845 · outbound

This paper cites Krivelevich and W.

The Hamilton cycle space of random graphs Krivelevich and W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:35.949016Z

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 74124360-6806-49e1-8309-d57d45b7caaf · outbound

This paper cites Lee and B.

The Hamilton cycle space of random graphs Lee and B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:35.937617Z

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 1b69169b-2dee-44bf-8b66-45776d8a5be0 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:45:35.927525Z

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 449f9e63-b33f-443f-bbb8-301036e5d98d · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random graphs Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T18:45:35.830608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 184b4a4b-406a-4407-a357-a5c3c463c9ab · outbound

This paper cites Montgomery, Hamiltonicity in random graphs is born resilient, Journal of Combinatorial Theory, Series B 139 (2019), 316–341.

The Hamilton cycle space of random graphs Montgomery, Hamiltonicity in random graphs is born resilient, Journal of Combinatorial Theory, Series B 139 (2019), 316–341

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:35.911182Z

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 ea55a54c-64de-4855-a4f6-f7c3fad3a37a · outbound

This paper cites P´ osa, Hamiltonian circuits in random graphs, Discrete Mathematics 14 (1976), 359–364.

The Hamilton cycle space of random graphs P´ osa, Hamiltonian circuits in random graphs, Discrete Mathematics 14 (1976), 359–364

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:35.900294Z

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

Observation 19db0fe1-5fba-4f93-ad1b-8c8459e4bc3e · inbound

The Hamilton cycle space of random regular graphs and randomly perturbed graphs cites this paper.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs The Hamilton cycle space of random graphs

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T19:59:18.465439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32719bbf-bc6a-4d1d-a6fe-03785e121b95 · inbound

On graphs whose cycle space is spanned by their Hamilton cycles cites this paper.

On graphs whose cycle space is spanned by their Hamilton cycles The Hamilton cycle space of random graphs

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-02T13:46:59.768018Z

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 9570b0d4-7a15-4728-85dd-7db0ffb95d96 · inbound

On graphs whose cycle space is spanned by their Hamilton cycles cites this paper.

On graphs whose cycle space is spanned by their Hamilton cycles The Hamilton cycle space of random graphs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T12:32:43.448856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.