Paper Citation Record · LEDGER

Cycle lengths in the percolated hypercube

As of 18 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.16858.

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

pith.paper-citation-record.v1
2506.16858 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:29:44.118936Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy18
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9fbc4c95-3201-4719-b34b-d5ea957bc5f0 · outbound

This paper cites Ajtai, J.

Cycle lengths in the percolated hypercube Ajtai, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.631130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c8aa5d54-0cb5-4ccc-ae6c-5036a101a93a · outbound

This paper cites Ajtai, J.

Cycle lengths in the percolated hypercube Ajtai, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.617350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 88ba7af2-df21-44b0-831a-c9021f2c84c6 · outbound

This paper cites Alon and J.

Cycle lengths in the percolated hypercube Alon and J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:43.953645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 221c0afd-cbc2-40cc-826e-0c0607af509b · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.596315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cabcc8e8-cb3e-4703-8b7d-a466eaad8e66 · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.583575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 72462993-fedc-43ba-bb40-c834b48a7481 · outbound

This paper cites Anastos, S.

Cycle lengths in the percolated hypercube Anastos, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.572005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fbffa5e2-5a67-4c59-9e85-d83f09f70baa · outbound

This paper cites Nearly spanning cycle in the percolated hypercube.

Cycle lengths in the percolated hypercube Nearly spanning cycle in the percolated hypercube

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:43.972585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80ea6e12-3b69-4606-97bb-a1af99d31eb4 · outbound

This paper cites Beveridge, A.

Cycle lengths in the percolated hypercube Beveridge, A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:43.977498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddf559ed-37a4-4e01-8151-47a51b4880a3 · outbound

This paper cites Bollob´ as.

Cycle lengths in the percolated hypercube Bollob´ as

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.551230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 14cdce34-8b15-4001-b13f-ad2cbf30d52e · outbound

This paper cites Bollob´ as.Random graphs, volume 73 ofCambridge Studies in Advanced Mathematics.

Cycle lengths in the percolated hypercube Bollob´ as.Random graphs, volume 73 ofCambridge Studies in Advanced Mathematics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.537104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cfa1ffa9-ca12-449f-bddf-b87dabee1010 · outbound

This paper cites Bollob´ as, Y.

Cycle lengths in the percolated hypercube Bollob´ as, Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.521577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 93c361ae-a2c9-4626-82a2-10078ac4658e · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.508342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e6c7fce8-2b5e-4321-84c4-c6d9703b7c21 · outbound

This paper cites Chv´ atal.

Cycle lengths in the percolated hypercube Chv´ atal

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.495705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f0592935-bdf1-4fa2-ba97-716c5cbbf46f · outbound

This paper cites Condon, A.

Cycle lengths in the percolated hypercube Condon, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.482527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ddfc1dd3-592a-4d6c-95f4-00a3efa9b62a · outbound

This paper cites Cooper and A.

Cycle lengths in the percolated hypercube Cooper and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.470770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c462683d-7122-4026-a801-a403613747de · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.018521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c2ad68a-affa-4705-908c-4a90aa9573da · outbound

This paper cites Diskin, J.

Cycle lengths in the percolated hypercube Diskin, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.450714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3e99d135-73ea-490b-97cb-5e0676846f01 · outbound

This paper cites Diskin and M.

Cycle lengths in the percolated hypercube Diskin and M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.436063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 12be25d1-2288-46cc-9419-7124da2ed366 · outbound

This paper cites Diskin and M.

Cycle lengths in the percolated hypercube Diskin and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.421991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 68237444-ea2a-4cbf-9b90-d1f0d30df051 · outbound

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

Cycle lengths in the percolated hypercube Hamiltonicity of expanders: optimal bounds and applications

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.036973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e25bdd8-2c07-4125-b045-903bd7d562fa · outbound

This paper cites Erd˝ os and A.

Cycle lengths in the percolated hypercube Erd˝ os and A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.042144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf8924bf-d89f-4e91-b939-0101e6db081e · outbound

This paper cites Fernandez de la Vega.

Cycle lengths in the percolated hypercube Fernandez de la Vega

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.400512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 57b34a8c-256b-48d6-a6f0-33b1dafa231a · outbound

This paper cites Friedman and M.

Cycle lengths in the percolated hypercube Friedman and M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.386358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 85b983f6-b155-46fa-8a14-45c1335e87ed · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.371837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a7f69fdd-4988-4b6c-a589-51df6c4b8078 · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.357894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0c0327f7-d501-4784-b5d9-c4beb9059aa6 · outbound

This paper cites Hefetz, M.

Cycle lengths in the percolated hypercube Hefetz, M

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.344680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e936b50e-2dc7-41de-b9c1-e762ff435125 · outbound

This paper cites Karo´ nski and A.

Cycle lengths in the percolated hypercube Karo´ nski and A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.330605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3493eb26-187f-4e20-9a78-cf6e2bbe5a9f · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.315806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b268f4a3-8dcd-44f7-b69d-4d7b6832541d · outbound

This paper cites Koml´ os and E.

Cycle lengths in the percolated hypercube Koml´ os and E

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.082647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d57251c-1da5-4eb1-b59f-92effe28bbbe · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.292012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6dca8077-a9b6-48d9-8fb9-dcfc1cb99e1b · outbound

This paper cites Component sizes in the supercritical percolation on the binary cube.

Cycle lengths in the percolated hypercube Component sizes in the supercritical percolation on the binary cube

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.090934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69eb2a42-441f-49a8-b4b5-d86f48751e27 · outbound

This paper cites Krivelevich, C.

Cycle lengths in the percolated hypercube Krivelevich, C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.278000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 683b66df-88ef-411f-9607-5edfc17bb569 · outbound

This paper cites Krivelevich and B.

Cycle lengths in the percolated hypercube Krivelevich and B

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.102909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c28c13a9-3fd9-4aa2-b0f6-5e7bfdcbdbb1 · outbound

This paper cites Lee and W.

Cycle lengths in the percolated hypercube Lee and W

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:29:44.249809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 959e29be-7871-4e2a-8c38-e5280de2e3f3 · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-15T19:29:44.113842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf49848d-3497-4c90-9957-533f740d0472 · outbound

This paper cites an unresolved cited work.

Cycle lengths in the percolated hypercube Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:29:44.215846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.