Paper Citation Record · LEDGER

Multi-Community Spectral Clustering for Geometric Graphs

As of 22 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 2 inbound Pith citation observations for arXiv:2508.00893.

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

pith.paper-citation-record.v1
2508.00893 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:54:55.490192Z

measured 37 of 37 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:22:18.939912Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:16:14.067578Z

Reference resolution

35 of 35 outbound references displayed

verified exact1
verified fuzzy21
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e389a174-75f5-47b9-9ffe-a73cd216c69e · outbound

This paper cites 177, 1–86.

Multi-Community Spectral Clustering for Geometric Graphs 177, 1–86

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.986799Z

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 5f413d77-bc00-4c1e-a45a-54b90fb2e5b3 · outbound

This paper cites 1, 109– 160.

Multi-Community Spectral Clustering for Geometric Graphs 1, 109– 160

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.976350Z

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 7485b0ac-072e-4454-88b7-3a13a54ae517 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.965715Z

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 9f8f478b-f06d-46f9-ac4b-1ac2e84b2a9a · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.954136Z

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 966e94a3-799e-4241-bac0-8c6ccdf8a318 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 5

Resolution: verified exact; raw_fallback, observed 2026-08-15T17:54:55.597872Z

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 94f45d60-8875-47da-9204-97b84e34e74d · outbound

This paper cites 20, Springer, 2010.

Multi-Community Spectral Clustering for Geometric Graphs 20, Springer, 2010

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.943084Z

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 75e7b096-47ef-412f-b4b6-6553fd27f673 · outbound

This paper cites 4, 515–532.

Multi-Community Spectral Clustering for Geometric Graphs 4, 515–532

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.932335Z

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 d829be05-e4ca-415a-8c87-5ac8956806c8 · outbound

This paper cites 3-5, 75–174.

Multi-Community Spectral Clustering for Geometric Graphs 3-5, 75–174

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.921250Z

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 abd62675-c7f8-437b-8a12-941c8f61b787 · outbound

This paper cites 32, 2018.

Multi-Community Spectral Clustering for Geometric Graphs 32, 2018

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.910145Z

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 87fcbd6c-9d07-4117-8f20-4561044931e0 · outbound

This paper cites 338, 1–53.

Multi-Community Spectral Clustering for Geometric Graphs 338, 1–53

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.899246Z

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 1a292aeb-620a-4ab4-a22b-fc523d3aea91 · outbound

This paper cites Gao, Dominic Dwyer, Ye Zhu, Catherine L.

Multi-Community Spectral Clustering for Geometric Graphs Gao, Dominic Dwyer, Ye Zhu, Catherine L

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.888060Z

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 b5366e8b-1073-4f44-a12e-05ed6abfb05f · outbound

This paper cites Guan,Sharp exact recovery threshold for two-community Euclidean random graphs, ISIT, 2025.

Multi-Community Spectral Clustering for Geometric Graphs Guan,Sharp exact recovery threshold for two-community Euclidean random graphs, ISIT, 2025

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.877808Z

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 11b057f8-3abd-4d8e-a5b4-a92a79af3a50 · outbound

This paper cites 2158–2184.

Multi-Community Spectral Clustering for Geometric Graphs 2158–2184

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.867583Z

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 6441db6f-02fb-4ac9-b7d6-81e4124e7aad · outbound

This paper cites 161– 248.

Multi-Community Spectral Clustering for Geometric Graphs 161– 248

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.857095Z

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 a06c22c7-e929-4456-94a7-b7da9e4950cc · outbound

This paper cites Holland, Kathryn Blackmond Laskey, and Samuel Leinhardt,Stochastic blockmodels: First steps, Social Networks5(1983), no.

Multi-Community Spectral Clustering for Geometric Graphs Holland, Kathryn Blackmond Laskey, and Samuel Leinhardt,Stochastic blockmodels: First steps, Social Networks5(1983), no

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.846235Z

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 aff2e2fb-4927-47cb-b31f-76d4f4692752 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.834404Z

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 1d54cb43-7e44-4453-b225-6b2d3481dbca · outbound

This paper cites Jain,Data clustering: 50 years beyond k-means, Pattern Recognition Letters31(2010), no.

Multi-Community Spectral Clustering for Geometric Graphs Jain,Data clustering: 50 years beyond k-means, Pattern Recognition Letters31(2010), no

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.823667Z

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 db1c04ba-6c04-4be0-ac43-a49a4e82fda1 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.813385Z

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 85063833-8112-422a-b224-f147fbb074fe · outbound

This paper cites Lee, Shayan Oveis Gharan, and Luca Trevisan,Multiway spectral partitioning and higher- order cheeger inequalities, J.

Multi-Community Spectral Clustering for Geometric Graphs Lee, Shayan Oveis Gharan, and Luca Trevisan,Multiway spectral partitioning and higher- order cheeger inequalities, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.803200Z

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 f7957da0-e273-4e57-b999-f9c669cb4dc4 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.792940Z

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 3e842209-e3e7-46df-ad3a-424470e91745 · outbound

This paper cites eigenspace and singular subspace variations, SIAM Journal on Matrix Analysis and Applications20(1998), no.

Multi-Community Spectral Clustering for Geometric Graphs eigenspace and singular subspace variations, SIAM Journal on Matrix Analysis and Applications20(1998), no

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.782605Z

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 9adc1395-d749-4fce-a01f-8de86bcb0456 · outbound

This paper cites Macqueen,Some methods for classification and analysis of multivariate observations, In 5-th Berkeley Symposium on Mathematical Statistics and Probability (1967), 281–297.

Multi-Community Spectral Clustering for Geometric Graphs Macqueen,Some methods for classification and analysis of multivariate observations, In 5-th Berkeley Symposium on Mathematical Statistics and Probability (1967), 281–297

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.771776Z

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 7a153c4f-e1bf-4e6a-b83f-e7a4410f6dfa · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.759878Z

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 02b88b2d-aac6-4946-bcb7-d95efee0c8d5 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.748816Z

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 ec7caa04-ad77-45b2-a76e-e05b4b99bf48 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.737680Z

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 7b38ed8e-664a-4736-8e4e-76b8b2ac1494 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.724924Z

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 b6b6a0a5-2559-41c7-854a-7049d29e9280 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.712615Z

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 a20da9d6-9fae-4142-b0a8-4a041e25f994 · outbound

This paper cites Qin and L.

Multi-Community Spectral Clustering for Geometric Graphs Qin and L

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.699807Z

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 1666df53-21af-4ed6-8790-50b361689a0b · outbound

This paper cites 2181–2200.

Multi-Community Spectral Clustering for Geometric Graphs 2181–2200

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.687059Z

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 4354a558-b86f-4080-8ba8-24601a03cdb2 · outbound

This paper cites Sibson,Slink: An optimally efficient algorithm for the single-link cluster method, The Computer Journal16(1973), no.

Multi-Community Spectral Clustering for Geometric Graphs Sibson,Slink: An optimally efficient algorithm for the single-link cluster method, The Computer Journal16(1973), no

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.673754Z

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 f4f787d6-1a07-4282-be18-89f879e9e83e · outbound

This paper cites Spielman and Shang-Hua Teng,Spectral partitioning works: Planar graphs and finite element meshes, Linear Algebra and its Applications421(2007), no.

Multi-Community Spectral Clustering for Geometric Graphs Spielman and Shang-Hua Teng,Spectral partitioning works: Planar graphs and finite element meshes, Linear Algebra and its Applications421(2007), no

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.660570Z

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 6af5cee2-1905-4904-a51c-0dc57df333ff · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.647665Z

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 46797fd5-37d3-4bc2-925c-0c9409e2519b · outbound

This paper cites 2, 555–586.

Multi-Community Spectral Clustering for Geometric Graphs 2, 555–586

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:54:55.636154Z

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 2f513128-4cf2-4c03-acc6-e821201ad99f · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.623289Z

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 7cf8de33-8715-4bf1-8961-8e58a5ca2ad4 · outbound

This paper cites an unresolved cited work.

Multi-Community Spectral Clustering for Geometric Graphs Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:54:55.610759Z

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

Observation 9756fdcb-1113-4064-9b41-f279a3b579bf · inbound

Spectral graph clustering with inhomogeneous latent geometry cites this paper.

Spectral graph clustering with inhomogeneous latent geometry Multi-Community Spectral Clustering for Geometric Graphs

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T14:22:18.934104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d952457-9031-4cd2-a1b2-214e6c4d3c99 · inbound

Spectral graph clustering with inhomogeneous latent geometry cites this paper.

Spectral graph clustering with inhomogeneous latent geometry Multi-Community Spectral Clustering for Geometric Graphs

Reference 2025

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:22:19.758776Z

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.