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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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.377879Z digest=sha256:017ea70a6f964ad11cbfc74c1b020a66aaf59c6ae53e238d4ea2c771ec085d78

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.449300Z digest=sha256:e98edd88f1ba33b46a4e1f31dc675edfc02fd80d352d941d94d2a93f26cda346

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.523779Z digest=sha256:a250bc789abb81623b3eef0465f4247ebe2163c2b0e9196a8cfab33f586aa81a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.593459Z digest=sha256:251e1693a382f558de4c044fd059ca10728b917db4bbb55c24df84f726095cc3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.647364Z digest=sha256:76b253dd85d23c7059cac13aa6f06a1ce8c9391b80031e953c8869aa48c02191

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.725415Z digest=sha256:e623c617446c37b0a2590212a866a59c6690c08035b8f718dc5e024f1a7f2180

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.797973Z digest=sha256:19781023a2e840774cfd32c0f78079be7d89e2e2f8918b6ed823e4e1a375b668

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.872760Z digest=sha256:42c5ae25309e76e09cf912d250c6a4821478a0e686e92f11e5d28ff6dac47d01

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:17.958803Z digest=sha256:a56e1c0c6be8ec4eff9b55ae769046129da6fa93c307d063f5db69a39332f633

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.050550Z digest=sha256:42cfbfdd111e5df94a9470ceb38d1976642c81669c83d446c2070e38c9dce1ce

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=sha256:139c8eae69ff7694509545de230c2fe94175af29b0ffba7a687c5c0569616ea9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.203608Z digest=sha256:9ddafa8833c0710b41758e056db3f5854255bd3e50085fda09618b17c7ad31cf

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.280469Z digest=sha256:281266485e7cd77c91018731755357e536acc80a668eef47f967ace93ff60d57

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.372917Z digest=sha256:a8c6ced029cdebd15e1f3df187d479bbc9e4f5c510ac5ce61e07b4bb91900a17

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.558262Z digest=sha256:b2813411ad51786e065a9a06926b9ad6164b86661c0292e94e4ebe7353769595

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.649641Z digest=sha256:f7ba519055f442ce94caa9635ced270c0c7bc040208213ee2b1d440e3a0fa18b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.844033Z digest=sha256:a9a00f359ab25d3bb19e4a0f633bc12ab4a87732c40c4402614bfa98d6ca728b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:18.930003Z digest=sha256:6bd2900e6736b16b3411e27020fcba04820dc52492f8dc653491a6aaf98a08f4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:19.019112Z digest=sha256:a21eb92661c97426c3e860938b4c0c26da5e332821ceef0c906a624669880309

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:19.080960Z digest=sha256:9e7bc0fb1989d231d9cca8e6afd4ee4d83e650298bc26953c2a8be22984d119a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:19.141320Z digest=sha256:3b43fcead0cca55015b5f2873e1867486fd0c42af727247a3f84d13b54c4df30

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T19:59:19.217071Z digest=sha256:320e413d723c8110b4d8d9485d3dfcb8e5bdbeda8e52731b5c4ac92970c83d6e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-06-28T00:57:31.999665Z digest=sha256:54b979126865949b70a3bae748e361b6ff5469114343ffdca472ebab83865432

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