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Paper Citation Record · LEDGER

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

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2507.04488.

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

pith.paper-citation-record.v1
2507.04488 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:59:19.217071Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T12:32:43.595574Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T13:46:59.769286Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48d8bdd3-d7a8-46b5-a417-eb5b8f0c12b7 · outbound

This paper cites Aigner-Horev, D.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Aigner-Horev, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:23.784466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.377879Z digest=sha256:07861606ff8f3eb701b5f291d0c4b9f87a13e087fed8ed2b40aa6679d42ea634

Observation 0ef212e9-4e01-403c-a13f-bb1987204dbc · outbound

This paper cites Alon and J.

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

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:23.618364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.449300Z digest=sha256:82ef96dbf0fed176018f50776855cb50cda63e37298a366d1a69be2109374806

Observation 01f66df3-a913-4174-b03f-330329a89cc0 · outbound

This paper cites Alspach, S.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Alspach, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:23.510574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.523779Z digest=sha256:d126effe6469a184a94d6b5aaa8f6c96dda1388ac75bb27e61a3641b287107d9

Observation c0d04c58-c64d-43a6-8773-e207f2922873 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:23.374650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.593459Z digest=sha256:b9c99436cf1386d37cd93b2e78bb69df5e5939a11514f60b9e3e2e3e4803a0db

Observation 03de60ec-1603-4087-9398-6f0c0ca88c0c · outbound

This paper cites Bohman, A.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Bohman, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:22.910905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.647364Z digest=sha256:b73f0377bca84d4e9894d3df3e8e41f46463767aed0f9b4b247e9f79a751cf85

Observation 32a5ec3b-4cfb-41b1-ad2a-02eb11df484a · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:22.853169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.725415Z digest=sha256:273e6c1b806ed91b71b4343d97cb9691e9ba9179dce464c56476819a960ab7a2

Observation b7a2fece-85c2-4c03-b5b6-6bc6eafeb435 · outbound

This paper cites The Hamilton space of pseudorandom graphs.

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

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:59:19.549556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.797973Z digest=sha256:1762f1eee2feb8b447b02cf190d912cd74aee9d135ac2a5d7b5f41b25d73646f

Observation 4dd9d95b-09f2-4215-89f8-5090c55e4ee1 · outbound

This paper cites DeMarco, A.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs DeMarco, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:22.764181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.872760Z digest=sha256:62524ae403ad4ecc544d86f926ee8a381ece9f94e9b30de0b74de1d2814c3f0c

Observation 0010ca5c-ccfc-4e9a-b3c3-6b09be4ee191 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:22.613610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:17.958803Z digest=sha256:2b888b179f654e37ca91c4cdc877e50b734f0e7a9239f6f14a88e7385e63ba1f

Observation c9419e30-5ba4-47a7-a118-ac87f2e9d429 · outbound

This paper cites Dragani´ c, M.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Dragani´ c, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:22.502478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.050550Z digest=sha256:c561547dbb1736721c06315d01ecf89081cd1ebe301483f81cbfa239e13ba8d2

Observation eca7ae68-0ea1-454d-bb57-8d47c90d0a98 · outbound

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

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

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T19:59:18.131345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:59:18.131345Z digest=sha256:4285cc3e3b33fcf45393192a59d2e9b2e70924b3d5f5bf54a9314f56eec6638e

Observation 9dc56d04-6c5d-41df-a9d5-56e82f1ac505 · outbound

This paper cites Friedman, A proof of Alon’s second eigenvalue conjecture and related problems, Memoirs of the American Mathematical Society 195 (910), (2008).

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Friedman, A proof of Alon’s second eigenvalue conjecture and related problems, Memoirs of the American Mathematical Society 195 (910), (2008)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:22.393072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.203608Z digest=sha256:bdbabbe6a2de0bc32852b949411113f09a7f7d3398b0c11152b95a2328c645ec

Observation 0cbb0f30-b30b-4477-99a6-d892fe842143 · outbound

This paper cites Hahn-Klimroth, G.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Hahn-Klimroth, G

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:22.290259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.280469Z digest=sha256:755951cbc5824cd69e842d136f61be454258ee38f3d5e716e9376a4e2baa51af

Observation ae22e520-9b87-436b-b439-3b869e5ebf66 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:21.995172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.372917Z digest=sha256:9c8291baf15f6eef3b1314f089e0c4d1a3314f2808125b70e7d9f8f1c16d80b3

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

This paper cites The Hamilton cycle space of random graphs.

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.

source=pdf_text observed=2026-08-06T19:59:18.465439Z digest=sha256:c53fe316c5bb48678461f39ead2959b00d81539dc10531996089ad5f286a0e6a

Observation 92e1822a-da3b-45f0-874e-a43b39d52f0b · outbound

This paper cites Hefetz, M.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Hefetz, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:21.437037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.558262Z digest=sha256:0234f8dd879370ff81d9addd018a51eb51d2bb8445bb60f045de27f52414c10d

Observation 5b47bdf2-0f89-4dbe-ae67-21918b944d43 · 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 regular graphs and randomly perturbed 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
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:20.789960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.649641Z digest=sha256:6f39d6e94e3182bb2410a4c3d33df7af4aea80052278b43d78a0aa4920e8da17

Observation ceee3108-74dc-4051-a1c6-9035f1ea341a · outbound

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

The Hamilton cycle space of random regular graphs and randomly perturbed graphs When Hamilton circuits generate the cycle space of a random graph

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T19:59:18.737392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:59:18.737392Z digest=sha256:51dcd7ae9d60918028f4f43d5b4896095a118e8b6812a4a979919b3c62d5a1c6

Observation bcac1e30-aebb-4960-b287-a45ec7d4056b · outbound

This paper cites Dirac-type condition for Hamilton-generated graphs.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Dirac-type condition for Hamilton-generated graphs

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-06T19:59:18.785981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:59:18.785981Z digest=sha256:6487ee657d87cef9703753988df84063e44d45c0d66ffcb64fbcf6db15d64876

Observation 78574e56-3fd7-4e5b-9c0f-9aa7fcf983c6 · outbound

This paper cites Janson, T.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Janson, T

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:59:20.338247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.844033Z digest=sha256:d0c67792e2dc3a049f36de5d294f7084f39a33825d4f70c33e13adaf02367139

Observation 20678c9b-4dd6-47a6-92a1-0f1ba7b2f3e0 · outbound

This paper cites Rigid partitions: from high connectivity to random graphs.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Rigid partitions: from high connectivity to random graphs

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:59:19.373132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:18.930003Z digest=sha256:56ab135d3be4eee53b0dc86be1c48fe0a0dd935fd1e2cf1147e0e9da91de40f6

Observation 003ee260-cbbb-4e6f-91df-8f5e35b382b4 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:20.080338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:19.019112Z digest=sha256:7e1f64eaa67dd91575369c380101683d2d28c3fe841410a898de9a1a6af9c15f

Observation f8b42ca5-e8bf-47a9-8f88-b07b494f5037 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:19.924237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:19.080960Z digest=sha256:b09d86d8e002d8def5e75852230dddcdba5aba8e82c034dc48311fdd1462c911

Observation e009442a-87c1-47f8-acf9-06008adf7c6e · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:19.811225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:19.141320Z digest=sha256:3cab0ecef1ecd4057fb4f86310822a22a5f86a0c82f768183b3101293504c587

Observation 5fd55fa9-6df4-4ec3-ac5c-733f519205c5 · outbound

This paper cites an unresolved cited work.

The Hamilton cycle space of random regular graphs and randomly perturbed graphs Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:59:19.674527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T19:59:19.217071Z digest=sha256:fcde605299824cc42bb720ee8d9cd4293a5d05ec61c7f0fb82e75dd377d308f7

Pith citing papers

Observation e092d9a2-1494-49c5-817b-2c51f134587d · 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 regular graphs and randomly perturbed graphs

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-02T13:46:59.770787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T00:57:31.999665Z digest=sha256:34ab918b50f4f6001994875584b6da4e72cd572659e7ca7e9dca78d268e1b4a3

Observation f07dd5e6-70a8-471d-899c-9418c8c553f9 · 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 regular graphs and randomly perturbed graphs

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T12:32:43.595574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:32:43.595574Z digest=sha256:cc11d5d634496abdd969c046e6d47e502ea5590a5c38d3ca4928569b73e83cca