Pith. sign in

Paper Citation Record · LEDGER

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

As of 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.377879Z digest=sha256:321ff9c0e4d231dc897247d062a06f76a26725afbe7f5533ecd5c109be2fd61b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.449300Z digest=sha256:de143ca9a6ead5a7a39d16041f8462dbcbacb6fef3a7f3ee57fb5058eca2f389

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.523779Z digest=sha256:ae68a17edd75bf90b19b2ec0a24c82c91c046ffece5a43bd3906fd1a0881d304

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.593459Z digest=sha256:b1715f26a225221f5481636db759b2c0304b9bf3b427148182dec71522ba9428

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.647364Z digest=sha256:c88d308dfb0bbd54be0f9194833238afb3a532585087d26b4d2e42905043e0c0

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.725415Z digest=sha256:3674fecfc8527c6db121146ab573f1f6b1ef46181e8bf7c41d82176f94941ef9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.797973Z digest=sha256:cac0adfb1b03feb02ae0c1c72b69e7fbe6178ab3879ca47293f00d77dd06d04e

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.872760Z digest=sha256:a33a9aceca72a49d791adad22f04b734646a213941049c2f7639b1c64a0b2550

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:17.958803Z digest=sha256:94021abb46b4ac32563c9ea81019fc833a18046684e10d2a15d37de17fd913b8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.050550Z digest=sha256:08009923423e45faed992d9b379b7aa6d9db4eaab3d40ecdde77a9770dfd699d

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=sha256:4b0205c34438db4a9cd7621a45f200dbd29087f9ca2b381a40ba85402e07a6f8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.203608Z digest=sha256:a770ebf9a82a5e1ef65e1c258586646bb503d84dfba785745e107b9ab6b9ebbc

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.280469Z digest=sha256:9d6b79dc9010682dc05bcd4cca4eb598f8c2bc6ca31d7642b737e353ba7f1a4b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.372917Z digest=sha256:da0f5b6ebefe8e3478371448d38f764b6e685a2fc5b12b2c83efe8b3f528a1c3

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=sha256:49bc8aae037d3b682db02ff7f2c61ad9370d437949e788596f44e602dfd0545b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.558262Z digest=sha256:1a15c5d65ba577ff6b702b271ebcace0fecf6ca7e2859c53cb88363d6553332b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.649641Z digest=sha256:172809685437dc56ad41c911c69dccb17250ba6b222d6ac6fdbf3bd49ac7573c

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:e1ef7dcc73cf84a8f348e541fdcb2be4647817dafd310a8a92e3ce32c7841c77

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=sha256:69e25c9eeeb33594bfca10865757bd02669a4e577f048d3ac2b6cf31253013bb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.844033Z digest=sha256:3194be40201ad6503b94d0825b48c05c782f90741e6020039cf744196485b8c5

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:18.930003Z digest=sha256:c07f9695e3ae8f81b1b4106014cf4df4e61a4ed77b0f3f1c42787414314cb1ed

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:19.019112Z digest=sha256:2dce8f3557b005ec4167c06a81ae1eb0fec0c91f9a5d6a5b61b9a1d184791c77

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:19.080960Z digest=sha256:7251576fbe6fb6ff2497b82062cdb688a6bb7582d1789c7e8be10a2df6d60b31

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:19.141320Z digest=sha256:cf37b7a6170815a1041f11673cca80ee1a8cb5c4162af1bb6fa68e3f4cab1233

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T19:59:19.217071Z digest=sha256:943c4e1fb30aeae9b4d6006c92f5b0143db7f902313d8b396fff62bd0448b2e9

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T00:57:31.999665Z digest=sha256:2d27c0a1e300b620bbf8af1de4cd9b12f6f5d50ef5d7092336dbb3384084e949

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=sha256:1570e92851bdcdb8ff68aaf0f837904d4463e22283d14213502f54b7fe8f573b