Paper Citation Record · LEDGER

Colour-biased Hamilton cycles in randomly perturbed graphs

As of 23 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2506.04189.

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

pith.paper-citation-record.v1
2506.04189 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:58:53.764724Z

measured 24 of 24 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:33:22.123468Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:33:22.254449Z

Reference resolution

23 of 23 outbound references displayed

verified exact4
verified fuzzy16
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62f57263-8b22-4fe3-9bd2-ecd50259994f · outbound

This paper cites Minimum Degree Threshold for $H$-factors with High Discrepancy.

Colour-biased Hamilton cycles in randomly perturbed graphs Minimum Degree Threshold for $H$-factors with High Discrepancy

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:58:54.937196Z

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.

Observation 8f2c3937-bc27-4fbe-9582-2104d0eac920 · outbound

This paper cites Balogh, B.

Colour-biased Hamilton cycles in randomly perturbed graphs Balogh, B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:59.540465Z

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.

Observation 54429795-9c04-403f-ab8c-40a575e62577 · outbound

This paper cites Adding random edges to create the square of a Hamilton cycle.

Colour-biased Hamilton cycles in randomly perturbed graphs Adding random edges to create the square of a Hamilton cycle

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T10:58:51.176377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41f701e5-0b88-4c92-abca-17af9654f7bf · outbound

This paper cites Bohman, A.

Colour-biased Hamilton cycles in randomly perturbed graphs Bohman, A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:59.300191Z

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.

Observation 479d9fda-a3ab-4ea2-87c5-b91510b7b0dc · outbound

This paper cites B \"o ttcher, R.

Colour-biased Hamilton cycles in randomly perturbed graphs B \"o ttcher, R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:59.002830Z

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.

Observation 69ecc9e9-f1f4-46e2-8385-26da08476a4c · outbound

This paper cites Balogh, A.

Colour-biased Hamilton cycles in randomly perturbed graphs Balogh, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:58.754987Z

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.

Observation 19c8254e-1e10-4671-bae0-bc37a628cb01 · outbound

This paper cites Das and A.

Colour-biased Hamilton cycles in randomly perturbed graphs Das and A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:58.508282Z

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.

Observation 894b376d-65ed-48e7-86b8-27dfeba304ab · outbound

This paper cites Freschi, J.

Colour-biased Hamilton cycles in randomly perturbed graphs Freschi, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:58.220150Z

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.

Observation ffb5a265-f801-4675-aec4-efc549cd68cb · outbound

This paper cites Steiner triple systems with high discrepancy.

Colour-biased Hamilton cycles in randomly perturbed graphs Steiner triple systems with high discrepancy

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:58:51.959553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 725edd76-6dbf-4adc-95f7-228a54d1a5e6 · outbound

This paper cites Gishboliner, M.

Colour-biased Hamilton cycles in randomly perturbed graphs Gishboliner, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:57.964717Z

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.

Observation 04636fa5-450e-4e7e-b6fa-9280b7cfa27f · outbound

This paper cites Colour-bias perfect matchings in hypergraphs.

Colour-biased Hamilton cycles in randomly perturbed graphs Colour-bias perfect matchings in hypergraphs

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:58:54.655863Z

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.

Observation f7df49e7-d1b7-4d48-8779-7a4dcb159148 · outbound

This paper cites Discrepancies of spanning trees in dense graphs.

Colour-biased Hamilton cycles in randomly perturbed graphs Discrepancies of spanning trees in dense graphs

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:58:54.345406Z

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.

Observation 82613d0b-fe9a-45a6-9dc7-d2ace2e6ae9c · outbound

This paper cites an unresolved cited work.

Colour-biased Hamilton cycles in randomly perturbed graphs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:58:57.657707Z

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.

Observation 2851ecf1-e2aa-459e-aae3-8587261dc96a · outbound

This paper cites Joos and J.

Colour-biased Hamilton cycles in randomly perturbed graphs Joos and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:57.374898Z

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.

Observation c53a2538-4a6d-42c7-a84b-c40d2c8abae7 · outbound

This paper cites Janson, T.

Colour-biased Hamilton cycles in randomly perturbed graphs Janson, T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:57.125645Z

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.

Observation 467c586c-b125-4a69-9137-73714572dedf · outbound

This paper cites Janson and A.

Colour-biased Hamilton cycles in randomly perturbed graphs Janson and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:56.838367Z

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.

Observation 69fb7d84-9371-4a16-adf5-4a58b59f1776 · outbound

This paper cites Krivelevich, M.

Colour-biased Hamilton cycles in randomly perturbed graphs Krivelevich, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:56.567283Z

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.

Observation e16d7ceb-5d58-4303-90d5-3d47a3cb5192 · outbound

This paper cites Krivelevich, C.

Colour-biased Hamilton cycles in randomly perturbed graphs Krivelevich, C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:56.262423Z

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.

Observation 2a74d9f3-1f70-4c7f-8c50-14827e83e05e · outbound

This paper cites Kim and V.

Colour-biased Hamilton cycles in randomly perturbed graphs Kim and V

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:55.989488Z

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.

Observation 2df6b059-a186-4ce5-8fdb-7a4988823ac7 · outbound

This paper cites Discrepancies of perfect matchings in hypergraphs.

Colour-biased Hamilton cycles in randomly perturbed graphs Discrepancies of perfect matchings in hypergraphs

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:58:54.081627Z

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.

Observation 25021b5c-4a8a-4d58-bad9-50ef598256a1 · outbound

This paper cites Montgomery.

Colour-biased Hamilton cycles in randomly perturbed graphs Montgomery

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:55.754410Z

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.

Observation 7ebf6ee7-0462-4b31-b54a-a700155075ed · outbound

This paper cites P\' o sa.

Colour-biased Hamilton cycles in randomly perturbed graphs P\' o sa

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:55.491673Z

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.

Observation 0a4e2a9a-d1a2-4a83-9764-6c6c213ee6d9 · outbound

This paper cites R\" o dl, A.

Colour-biased Hamilton cycles in randomly perturbed graphs R\" o dl, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:58:55.201056Z

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.

Pith citing papers

Observation 542fcf5d-40e4-47cc-9d70-d0753c206390 · inbound

Optimal stability results on color-biased Hamilton cycles cites this paper.

Optimal stability results on color-biased Hamilton cycles Colour-biased Hamilton cycles in randomly perturbed graphs

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:33:22.261599Z

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.