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Paper Citation Record · LEDGER

A new measure of modularity density for community detection

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08452.

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

pith.paper-citation-record.v1
1908.08452 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:45:07.146918Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 fuzzy21
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 041f9697-8601-448c-8f9d-eaf371ebbe34 · outbound

This paper cites Analysis of the structure of complex networks at different resolution levels,.

A new measure of modularity density for community detection Analysis of the structure of complex networks at different resolution levels,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.494510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.050810Z digest=sha256:046f7a21eaead00615f0908efa34010f5c2dbbf00796efd95a8bf5a083f4c4b9

Observation 6568171e-3484-468e-9cf2-4da940771e77 · outbound

This paper cites Community detection via maximization of modularity and its variants,.

A new measure of modularity density for community detection Community detection via maximization of modularity and its variants,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.480009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.056134Z digest=sha256:ae02fec776cdcb13bf0b8c2742ae3138bca8b3520063f5e51b64e29a6e827ee0

Observation e8a19803-4f87-40d2-aff9-cc53c6741424 · outbound

This paper cites A new metric for quality of network community structure,.

A new measure of modularity density for community detection A new metric for quality of network community structure,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.465250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.060905Z digest=sha256:d1416993027e8e8abf7b27f05da29665ec6e9eb4c3bedc94c128c6e626d520a4

Observation b9a9186b-a6c7-450e-ae42-fa117f177251 · outbound

This paper cites Network community detection using modularity density measures,.

A new measure of modularity density for community detection Network community detection using modularity density measures,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.450190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.065606Z digest=sha256:c200a446281620564e6f204a84b4e28529cd6cd43464e89d7332b87ce904b42d

Observation 2de525d4-4c9d-400f-a9f6-431dc93f5a37 · outbound

This paper cites Effect of size heterogeneity on community identification in complex networks,.

A new measure of modularity density for community detection Effect of size heterogeneity on community identification in complex networks,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.436299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.070601Z digest=sha256:72053a58d74f1af17cf78742a1bd58b10acd7d9f0bc246e692a2bf3f4ed05e5e

Observation a3ff91cf-5b13-4c32-ba81-fbe92e4e67c1 · outbound

This paper cites On Random Graphs,.

A new measure of modularity density for community detection On Random Graphs,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.421908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 21778a39-2763-49d7-a256-ed3541929dc2 · outbound

This paper cites Resolution limit in community detection,.

A new measure of modularity density for community detection Resolution limit in community detection,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.407694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.080682Z digest=sha256:33d93b9ea30cf7c9da3322cd21e9913b33ce9a679df83df61544a1227ed2e363

Observation ca60f91f-a9c5-4498-b7e7-f22c03bbf9d5 · outbound

This paper cites Community detection in graphs,.

A new measure of modularity density for community detection Community detection in graphs,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.393581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.085233Z digest=sha256:8b9a2e07b7fad1caff1e0aa22e70fdf30e34286161649cfbfbb8ea76543ad27f

Observation 028a1d43-58a9-41bd-9d36-f52449f149b3 · outbound

This paper cites Performance of modularity maximization in practical contexts,.

A new measure of modularity density for community detection Performance of modularity maximization in practical contexts,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.379189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.089621Z digest=sha256:dec99102172eff37b5eca045d37dbd7300c0ad6eb4b219a77e5af4e1e4e5288f

Observation 72d6bf8c-1662-4734-b035-ba331f23ac27 · outbound

This paper cites Modularity from fluctuations in random graphs and complex networks,.

A new measure of modularity density for community detection Modularity from fluctuations in random graphs and complex networks,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.363634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.094111Z digest=sha256:3046d76b4644bf8b8910fd49684cd2ee1e949aed010dca7e8c1278054b28c900

Observation 812093ca-7441-41df-a51f-2525fd7c7285 · outbound

This paper cites Normalized cuts and image segmentation,.

A new measure of modularity density for community detection Normalized cuts and image segmentation,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.348940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.098490Z digest=sha256:2b5b679964ae74b7ed380f28377f15e8d402ecd9d255b0981e6c26e63520d1ac

Observation e3fbf797-7830-407f-a523-3356d7ed4fc0 · outbound

This paper cites Limits of modularity maximization in community detection,.

A new measure of modularity density for community detection Limits of modularity maximization in community detection,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.334553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.102855Z digest=sha256:844d60495efd366a33233e9366aca221e4a5ff89926b085dc81d74b3fe0e53c0

Observation 1b5322e1-65be-4a73-a83a-679ffb96070d · outbound

This paper cites Community detection algorithms: A comparative analysis,.

A new measure of modularity density for community detection Community detection algorithms: A comparative analysis,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.319930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.107530Z digest=sha256:80ee367406a11d2ba9b013f4a7a339a5eeb0e8d803a449e61a4b1d5527aebe64

Observation 6634b9ff-42d1-402b-a2fd-7267f1d25dda · outbound

This paper cites Benchmark graphs for testing community detection algorithms,.

A new measure of modularity density for community detection Benchmark graphs for testing community detection algorithms,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.305192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.111992Z digest=sha256:e251bf299d628fbe06daf05582cb026628fbf85f25994cfa02c2312516d0749b

Observation 4198834d-fc24-4a9c-bf6b-557e7492440a · outbound

This paper cites Quantitative function for community detection,.

A new measure of modularity density for community detection Quantitative function for community detection,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.290305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.116248Z digest=sha256:110dd2f82a3e6f5ed3894636f5b53811643f40ae46f9b9fcb78607096b14cbc3

Observation 502c4d74-73d6-4515-ab61-0feeee896760 · outbound

This paper cites A Tutorial on spectral clustering,.

A new measure of modularity density for community detection A Tutorial on spectral clustering,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.275466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.120568Z digest=sha256:b15d7d65b64cbc9ea433336c312ed915c469ca6692557fa649af5668af5da034

Observation e2a2c479-ed7d-460d-8f94-b75cc94e9bbf · outbound

This paper cites Fast algorithm for detecting community structure in networks,.

A new measure of modularity density for community detection Fast algorithm for detecting community structure in networks,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.259365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.124648Z digest=sha256:6c3cb2a1869727d629c343ad6d447ffba0e2eb2079cb54737406105dd2b06446

Observation a6cfc5ca-03f9-4f96-9f7b-d7ad200154d9 · outbound

This paper cites Analysis of weighted graphs,.

A new measure of modularity density for community detection Analysis of weighted graphs,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.244319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.129323Z digest=sha256:9259353bca9e8627220247bd8c1ae4bb9a9410c0527b03401e9dab3d69c36132

Observation 2da036f5-ed32-4f22-b0be-3fc04c85a402 · outbound

This paper cites Finding and evaluating community structure in networks,.

A new measure of modularity density for community detection Finding and evaluating community structure in networks,

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.230512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.133561Z digest=sha256:d5322369f1a87c28e2e1587e3cfc33f52ac7a39bd7127ce60a207da7c9edf445

Observation 9ac30f74-35fa-41d3-bd7b-d85385a5ac0e · outbound

This paper cites Finding community structure in networks using the eigenvectors of matrices,.

A new measure of modularity density for community detection Finding community structure in networks using the eigenvectors of matrices,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.215557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.137965Z digest=sha256:136cd618759da0fa879f6989477a2b0f41dbf95d4897ea63abbb729026ad65de

Observation 8c1d92fb-0960-4d0e-838d-1c026be2d055 · outbound

This paper cites Statistical mechanics of community detection,.

A new measure of modularity density for community detection Statistical mechanics of community detection,

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:45:07.200403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T11:45:07.142420Z digest=sha256:77defa41b028d37274a7403641caadec094e170a5951c5297ef9289d1b47e005

Observation e08e0e1c-aaea-4de1-b789-7b5fdf599552 · outbound

This paper cites Community Detection in Complex Networks Using Genetic Algorithms.

A new measure of modularity density for community detection Community Detection in Complex Networks Using Genetic Algorithms

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T11:45:07.146918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:45:07.146918Z digest=sha256:c653f4caae295005582df6fbd43363743e71bb6a102c3578f3d6a25b4fa452bb

Pith citing papers

No inbound Pith citation observations are available.