Paper Citation Record · LEDGER

Representing Higher-Order Networks with Spectral Moments

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2505.23691.

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

pith.paper-citation-record.v1
2505.23691 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:48:05.912400Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

22 of 22 outbound references displayed

verified exact0
verified fuzzy10
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1237c7be-d1fe-4a31-ac84-de3bbb551551 · outbound

This paper cites Simplicial Closure and higher-order link prediction.

Representing Higher-Order Networks with Spectral Moments Simplicial Closure and higher-order link prediction

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T12:48:06.335988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b759b25-cf11-478a-b2a7-df0edd00876c · outbound

This paper cites Higher-order organization of complex networks.

Representing Higher-Order Networks with Spectral Moments Higher-order organization of complex networks

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T12:48:06.141101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 448d6f9e-3203-4a8e-b932-a90fcf32ef47 · outbound

This paper cites In: Fifth IEEE Inter- national Conference on Data Mining (ICDM’05).

Representing Higher-Order Networks with Spectral Moments In: Fifth IEEE Inter- national Conference on Data Mining (ICDM’05)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:10.355776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3ae80cff-f04e-4110-bdff-5ecccfbbaa13 · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:10.167671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4dff302f-f0d2-4c75-af91-4136de7eac10 · outbound

This paper cites Expanding graphs pp.

Representing Higher-Order Networks with Spectral Moments Expanding graphs pp

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:09.985908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 658172ce-8199-4524-ab96-caa8d7597ef3 · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:09.784179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c9bf01fa-c5e8-4f9d-848b-a233c6430988 · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:09.617570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eba0e6d7-b0d1-48f9-8418-1ce8437ed48c · outbound

This paper cites In: 2022 IEEE International Conference on Knowledge Graph (ICKG).

Representing Higher-Order Networks with Spectral Moments In: 2022 IEEE International Conference on Knowledge Graph (ICKG)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:09.474609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2f1265f6-b922-47cd-b1e5-2bf9371310ef · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:09.284318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 63d0704d-4f1f-485d-993c-4c761f46833c · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:09.163424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 31bbca80-d3e8-4a96-b583-8b5ed5053dce · outbound

This paper cites CoRR (2019).

Representing Higher-Order Networks with Spectral Moments CoRR (2019)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:08.992447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e06c616-8784-4ee5-ad79-039b605ce815 · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:08.852461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b35b2bf-14e3-4e08-8520-24fd5aaa260f · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:08.681182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ac4fd5e-4757-4c0b-a3bb-3156422af341 · outbound

This paper cites Science298(5594) (2002).

Representing Higher-Order Networks with Spectral Moments Science298(5594) (2002)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:08.515115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e81dfe3e-84c4-406c-95b5-9860db0e1d6c · outbound

This paper cites CoRR (2017).

Representing Higher-Order Networks with Spectral Moments CoRR (2017)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:08.330086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c89e4212-03b0-422f-9a2e-13fe50e1fc01 · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:08.165927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5cd03920-5db3-4f9d-af6d-1497843ad6de · outbound

This paper cites CoRR (2019).

Representing Higher-Order Networks with Spectral Moments CoRR (2019)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:07.960316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2a6ff70c-f39e-4aad-8ce7-f61818a38a74 · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:07.629310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e574fdd1-66a3-44e3-aeae-2baf95297fb6 · outbound

This paper cites Journal of Machine Learning Research 12(77), 2539–2561 (2011).

Representing Higher-Order Networks with Spectral Moments Journal of Machine Learning Research 12(77), 2539–2561 (2011)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:07.356168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e77b5bf8-2a63-4223-b505-3b8ba2581800 · outbound

This paper cites SIGKDD Explor.

Representing Higher-Order Networks with Spectral Moments SIGKDD Explor

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:07.044516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6c00e46-9349-45ab-bb08-2d6e2f604e8c · outbound

This paper cites an unresolved cited work.

Representing Higher-Order Networks with Spectral Moments Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:06.771585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 168023a5-710a-49d8-9433-617eec69fcde · outbound

This paper cites In: Sch¨ olkopf, B., Platt, J., Hoffman, T.

Representing Higher-Order Networks with Spectral Moments In: Sch¨ olkopf, B., Platt, J., Hoffman, T

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:06.573266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.