Paper Citation Record · LEDGER

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science

As of 16 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:1908.02583.

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

pith.paper-citation-record.v1
1908.02583 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:43:14.859890Z

measured 42 of 42 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:37:55.170197Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:37:55.504328Z

Reference resolution

41 of 41 outbound references displayed

verified exact0
verified fuzzy14
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5970c491-c808-47c6-80ce-ed46523d42c9 · outbound

This paper cites Atkin, From cohomology in physics to q-connectivity in social science , Internat.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Atkin, From cohomology in physics to q-connectivity in social science , Internat

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.637243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2dd5ea3-b86c-4ce5-9962-0ccdf88b35f7 · outbound

This paper cites Barab´asi and M.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Barab´asi and M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.643318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7b4c1ef-acbb-43d7-890f-189fad582791 · outbound

This paper cites Benson, R.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Benson, R

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.649350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58a4ccd2-f074-4f90-9a7d-646e7b23c156 · outbound

This paper cites Barab´asi and A.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Barab´asi and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.656390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2124d321-48f5-4f8a-9995-dfb9c973b5c3 · outbound

This paper cites Belkin and P.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Belkin and P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.421254Z

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.

Observation ade0a7e5-512e-480e-b880-4fd3df8f7966 · outbound

This paper cites Bianconi and O.T.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Bianconi and O.T

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.666675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ffcbcca-ca5e-4546-bf45-a1c7b40991b7 · outbound

This paper cites Bianconi and A.P.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Bianconi and A.P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.672066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 825d2ea8-3dfc-41c0-af20-2b1063950a2e · outbound

This paper cites Bullo, Lectures on Network Systems , CreateSpace (2018).

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Bullo, Lectures on Network Systems , CreateSpace (2018)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.382524Z

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.

Observation af8bb28e-7c01-4df5-9e55-29bc310505c4 · outbound

This paper cites Carstens and K.J.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Carstens and K.J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.683519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9190377d-e5fd-4a5f-8852-f7edf5ffe0f4 · outbound

This paper cites Chung, The Laplacian of a Hypergraph, in: Expanding Graphs: Proc.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Chung, The Laplacian of a Hypergraph, in: Expanding Graphs: Proc

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.348588Z

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.

Observation ef58b1db-1e2b-44e3-b3a0-25214463d22e · outbound

This paper cites Chung, Spectral Graph Theory,in: CBMS Regional Conference Series in Mathematics, No 92, AMS (1996).

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Chung, Spectral Graph Theory,in: CBMS Regional Conference Series in Mathematics, No 92, AMS (1996)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.332472Z

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.

Observation b6dbb230-4230-4ebd-92bb-8bb42514f277 · outbound

This paper cites Chung, H.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Chung, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.317292Z

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.

Observation adc0212a-721c-494d-8586-2b1987d1aad7 · outbound

This paper cites Cvetcovi ´c and S.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Cvetcovi ´c and S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.300551Z

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.

Observation 0483b5ec-a6bf-4a89-8d3e-a15e51ad4833 · outbound

This paper cites Ekmann , Harmonische Funktionen und Randwertaufgaben in einem Komplex , Comment.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Ekmann , Harmonische Funktionen und Randwertaufgaben in einem Komplex , Comment

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.279966Z

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.

Observation 78cd28ab-e885-4e91-8972-fd6ce526e6d4 · outbound

This paper cites Estrada and G.J.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Estrada and G.J

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.717125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c28970e5-5b72-42c8-86ed-938f3f7f2c52 · outbound

This paper cites Gameiro, Y.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Gameiro, Y

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.720522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97a16655-e427-4c9b-87b4-6016a7a8ea0d · outbound

This paper cites Ghrist, Barcodes: The persistent topology of data , Bull.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Ghrist, Barcodes: The persistent topology of data , Bull

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.725506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4aeae37-2698-4166-89d0-23897279c823 · outbound

This paper cites Giusti, R.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Giusti, R

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.729838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd22f83f-1309-4a9a-afc4-f93aced657ee · outbound

This paper cites Giusti, E.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Giusti, E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.219845Z

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.

Observation fe6a143a-ebbb-4cac-abd1-0d40d9c7b51b · outbound

This paper cites Goldberg , Combinatorial Laplacians of Simplicial Complexes , Annandale-on-Hudson, New York (2012).

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Goldberg , Combinatorial Laplacians of Simplicial Complexes , Annandale-on-Hudson, New York (2012)

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.738418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2631c1eb-8d32-412c-b4c2-ba340262d8b0 · outbound

This paper cites Hansen and R.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Hansen and R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.193587Z

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.

Observation 8453edc7-e029-4443-afb5-0c1ee0f3e5dc · outbound

This paper cites Horak and J.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Horak and J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.748822Z

Source-reported events for the cited work

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Observation 695ee08b-cf49-4b43-8bea-febeb90b9be0 · outbound

This paper cites Hiraoka, T.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Hiraoka, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.166433Z

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.

Observation e53c9e5c-afd5-4287-8a78-f5077151d1d0 · outbound

This paper cites Centrality measures in simplicial complexes: applications of Topological Data Analysis to Network Science.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Centrality measures in simplicial complexes: applications of Topological Data Analysis to Network Science

Reference 24

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T15:43:14.925858Z

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.

Observation 89dbd10f-57d7-418a-9c7a-555bc5eff29c · outbound

This paper cites Kusano, K.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Kusano, K

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.766339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab36af01-6cb5-48cb-85d6-4846345d4458 · outbound

This paper cites Lee, M.K.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Lee, M.K

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.138124Z

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.

Observation 4605cef7-e1f7-4939-a2e4-112264657d2a · outbound

This paper cites Maletic and M.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Maletic and M

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.779336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d436a50f-60f6-428c-a2df-8959d9a8ca4e · outbound

This paper cites Maletic and M.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Maletic and M

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.783027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e36c1528-eae1-4006-9c4a-7998fbf91406 · outbound

This paper cites Maletic and M.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Maletic and M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.788611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e2767c6-340c-45bc-8805-00920bf5feb5 · outbound

This paper cites Mohar, The Laplacian Spectrum of Graphs, Graph Theory, Combinatorics, and Applications (1991) 871–898.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Mohar, The Laplacian Spectrum of Graphs, Graph Theory, Combinatorics, and Applications (1991) 871–898

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.081357Z

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.

Observation 6c903a14-6636-41fd-b8be-048063712b07 · outbound

This paper cites Moore, R.J.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Moore, R.J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.065659Z

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.

Observation 135eba82-94c6-47c3-a562-91c37d045680 · outbound

This paper cites Muhammad and M.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Muhammad and M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:43:15.050256Z

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.

Observation 140aab01-008e-4d30-870f-603ebfec4ff9 · outbound

This paper cites Mukherjee and J.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Mukherjee and J

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.811343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9079c6b4-bd51-4431-b124-f96f30f109b3 · outbound

This paper cites an unresolved cited work.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.816083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d83906b6-6f34-4086-ac9e-ccdfb7df2796 · outbound

This paper cites Patania and P.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Patania and P

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.824389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a4536aa-98e5-4a14-8aa0-1d59b5d46f21 · outbound

This paper cites Parzanchevski and R.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Parzanchevski and R

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.831699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a7efed2-e608-4231-b05b-2637881b222e · outbound

This paper cites Petri, P.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Petri, P

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.836802Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78fa007b-6879-483b-9a10-b89d830fce86 · outbound

This paper cites Sizemore, J.E.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Sizemore, J.E

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.842188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcd57aa1-87f6-4332-813b-bccf188b7315 · outbound

This paper cites Xia and G.W.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Xia and G.W

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.849349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5e58bac8-725d-4fb9-a439-f94c10ef4165 · outbound

This paper cites Xia and G.W.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Xia and G.W

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-14T15:43:14.854654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7dd220bb-eaba-4542-bd57-35dc33a83dfc · outbound

This paper cites an unresolved cited work.

Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:43:14.940960Z

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.

Pith citing papers

Observation e1c68642-fbc2-4b30-8ebd-dfe28958e879 · inbound

Centrality measures in simplicial complexes: applications of Topological Data Analysis to Network Science cites this paper.

Centrality measures in simplicial complexes: applications of Topological Data Analysis to Network Science Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science

Reference 20

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T14:37:55.513794Z

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.