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Paper Citation Record · LEDGER

Representing Higher-Order Networks with Spectral Moments

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:03.556810Z digest=sha256:b0b6569f9f823abb582db375144a26b01ae34887f142b86e35407ea9a84e96f9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:03.630470Z digest=sha256:39422d097d9d5b7794b8eecf8d1f83eb90ca20ee8d66dbae9330987c1ed4d85d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:03.678060Z digest=sha256:9b4d4fd27034490141eddb62f140c98e84c8206cc048bb065cdbb19eac690b96

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:03.738063Z digest=sha256:427acd1490c45142c1da04ef940cc62100c2078bb00d038c276fd836d1636064

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:03.884268Z digest=sha256:fc4ef87339b8e9c7715584530b10f307a9034d78dc98b15ebc04c80d1949d33b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.019363Z digest=sha256:e25a286a150d94ab53e33bdc38ed37fd2408b0de7902e21906e3314b2cc75f07

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.125712Z digest=sha256:bde4d78bf26b0ff28fc82b208e8f3cf479bcc3db3490944800e127ac19a689a3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.238857Z digest=sha256:ce7087c6bef8a5599f303bf898d56fd527b253d23dbdcf9773d20708b5f32730

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.401694Z digest=sha256:441d14e0a7d9be472a6370e81f969262005a89c9667d276232423d23c58f2e46

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.531577Z digest=sha256:8cefc851c7d7b2ab34440ef7e54cb89a204d1df3e0cbdf9b3d46664c868ac58d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.657977Z digest=sha256:0cb5da5cf60056473c2c19ae1a1d38f52462ed6ff72313fb5489b61d54dbc984

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.812236Z digest=sha256:799d2a7e8dc37a891fb1398698f47c39fd4f7cf2df897f6a652331124979e685

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:04.880597Z digest=sha256:91be4834842aada37f74b054001ce37fa6851d894fc72262bb1304dadd9b9b11

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.037360Z digest=sha256:bc2bd18687a2743a1de3709b4cedbb5dbd8055d6deeb4e2c17946295597b8d59

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.099845Z digest=sha256:297751d5f8a58d0f4bc7428bbf3cfe9050ab2ed304f9978483b4e5f579fa9939

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.225791Z digest=sha256:352bb52637d95b6cccd69a2a9c06d752226f62671858126fc674e662ead89932

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.340784Z digest=sha256:2b46096a1b90753e36476cc980c5a6df494e854205adba7a5d13b203b3df1112

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.447658Z digest=sha256:c83dc66907b488255d65197fcd432209ee84ba8ccdb9dac2540979ed96255e15

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.569603Z digest=sha256:55153722a8b1cb64a6ab8c70192443ebe64a6cf06cf3fe335dfa81f09c9cace8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.725631Z digest=sha256:a5724c6cf7b27aa95cb2f9d795be3e440c369ade9fa719b1587b481bacda5180

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.833068Z digest=sha256:79bc5c4e7345ce1604ad3c1d3defce37fbb573ca84913e13428c31e47732b7a2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:48:05.912400Z digest=sha256:668afc6086bf12b1f330398720441aafbee5eab7c3509ecbe60a9c46425355ce

Pith citing papers

No inbound Pith citation observations are available.