Paper Citation Record · LEDGER

Topological dynamics for the endograph metric I: Equivalences with other metrics

As of 13 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2510.17990.

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

pith.paper-citation-record.v1
2510.17990 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:07:24.770144Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T08:54:04.608933Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy0
unresolved45
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 20faa522-9b7b-4147-bf04-5d7627d7b767 · outbound

This paper cites Abakumov and A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Abakumov and A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.349799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56038087-3281-4b53-afe0-6ee876351d97 · outbound

This paper cites ´Alvarez, A.

Topological dynamics for the endograph metric I: Equivalences with other metrics ´Alvarez, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.400905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 151f9c16-5ffd-486f-b768-ecfc5d1333b6 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.501580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1aaeb585-68fb-415f-a83a-05610bf9078f · outbound

This paper cites Bartoll, F.

Topological dynamics for the endograph metric I: Equivalences with other metrics Bartoll, F

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.568709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7326abe-df9c-400f-8fc7-f8b13068af7e · outbound

This paper cites Bauer and K.

Topological dynamics for the endograph metric I: Equivalences with other metrics Bauer and K

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.669358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 79e3d19b-d448-4636-ad86-6c3ee280b895 · outbound

This paper cites Bayart and ´E.

Topological dynamics for the endograph metric I: Equivalences with other metrics Bayart and ´E

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.740630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6bf30e0-a67d-4e69-b0fc-eaa0dee9c9e5 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.842917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdb7f4c5-5c02-4813-b786-f7f9e53f19b8 · outbound

This paper cites B` es, Q.

Topological dynamics for the endograph metric I: Equivalences with other metrics B` es, Q

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:21.916616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ce560c2-c34a-4215-8aa2-a9432e8985d6 · outbound

This paper cites Billingsley.Convergence of Probability Measures.

Topological dynamics for the endograph metric I: Equivalences with other metrics Billingsley.Convergence of Probability Measures

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.062065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8af6f5c6-49e3-41f9-b4ac-fd90d73ffe48 · outbound

This paper cites Bonilla, K.-G.

Topological dynamics for the endograph metric I: Equivalences with other metrics Bonilla, K.-G

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.169808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c4e26c4-fdeb-47d4-9c4f-46463df9f850 · outbound

This paper cites Cardeccia and S.

Topological dynamics for the endograph metric I: Equivalences with other metrics Cardeccia and S

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.245689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 286349d2-b311-4c10-b9b0-7b0d59a5e849 · outbound

This paper cites Chen.Fuzzy Values and Their Applications to Fuzzy Reasoning.

Topological dynamics for the endograph metric I: Equivalences with other metrics Chen.Fuzzy Values and Their Applications to Fuzzy Reasoning

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.319575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc34ab12-9fc5-4037-ba5b-0890376d3aae · outbound

This paper cites Costakis, A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Costakis, A

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.422889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d417fe31-9e83-4dd4-bfcd-6bae50377e65 · outbound

This paper cites Fu and Z.

Topological dynamics for the endograph metric I: Equivalences with other metrics Fu and Z

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.499887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2921fb73-8748-4ecb-8e43-17ac667628ce · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.602896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e16a184-a153-4348-b881-2a70bf05de63 · outbound

This paper cites Greco, M.

Topological dynamics for the endograph metric I: Equivalences with other metrics Greco, M

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.673538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9caeaab7-9743-4b2d-9785-707d709838ad · outbound

This paper cites Grivaux and A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Grivaux and A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.740379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d57efb12-4d65-44a0-a861-9ba4ed908293 · outbound

This paper cites Grivaux, A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Grivaux, A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.846098Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7191e00e-1ed6-4b56-959d-35caa56c5feb · outbound

This paper cites Grivaux, A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Grivaux, A

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:22.951055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27384079-d4f3-412a-92e3-a69a55bfa941 · outbound

This paper cites Grosse-Erdmann and A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Grosse-Erdmann and A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.052931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9754f592-b6b3-44fe-99ce-684a10f1a7f5 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.154080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0915f0b1-57d4-4129-bb12-1f258540b176 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.260853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 350895a3-515b-4025-a0a0-e4bbd406ad28 · outbound

This paper cites Huang, H.

Topological dynamics for the endograph metric I: Equivalences with other metrics Huang, H

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.325697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72d6029d-312a-4dab-a69b-1441bf226380 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.428916Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a24cb49-a990-4c43-b894-494258534746 · outbound

This paper cites Illanes and S.

Topological dynamics for the endograph metric I: Equivalences with other metrics Illanes and S

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.535581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7f00701-6dc3-48e2-8116-2433a5865c44 · outbound

This paper cites Jard´ on and I.

Topological dynamics for the endograph metric I: Equivalences with other metrics Jard´ on and I

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.556793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e01b32ec-3fac-486c-a3be-19c244d860de · outbound

This paper cites Jard´ on and I.

Topological dynamics for the endograph metric I: Equivalences with other metrics Jard´ on and I

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.635290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a440c08-31db-4727-9d62-d04b4aeec6cc · outbound

This paper cites Jard´ on, I.

Topological dynamics for the endograph metric I: Equivalences with other metrics Jard´ on, I

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.796497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa309dc9-ac01-410d-b7a8-79d5d92f2fba · outbound

This paper cites Jard´ on, I.

Topological dynamics for the endograph metric I: Equivalences with other metrics Jard´ on, I

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:23.957124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a268bd3f-490c-4ff7-9e81-135a136e9d07 · outbound

This paper cites Jard´ on, I.

Topological dynamics for the endograph metric I: Equivalences with other metrics Jard´ on, I

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.122949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 640525e6-885c-4c59-bfa6-74a984a604a1 · outbound

This paper cites Transitivity of some uniformities on fuzzy sets.

Topological dynamics for the endograph metric I: Equivalences with other metrics Transitivity of some uniformities on fuzzy sets

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.285001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dec15913-0417-482b-8eb1-ae6a257ce70a · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.427020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb8d8216-69a7-4db4-ae6c-826f94369406 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.433865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4d5f34b-82b9-4c4d-94dd-1932d841b43e · outbound

This paper cites Kwietniak, J.

Topological dynamics for the endograph metric I: Equivalences with other metrics Kwietniak, J

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.550643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e08ab966-61e3-4447-a7c6-a3faf0f794fa · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.638067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54c58d03-258c-455e-971c-ab0fcba44f26 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.654840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c30ec460-2e15-4ea9-a557-7666fba89ecf · outbound

This paper cites L´ opez-Mart ´ ınez.

Topological dynamics for the endograph metric I: Equivalences with other metrics L´ opez-Mart ´ ınez

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.721817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 036eafd0-fa2b-4775-a14d-6b9967660ec4 · outbound

This paper cites L´ opez-Mart ´ ınez.

Topological dynamics for the endograph metric I: Equivalences with other metrics L´ opez-Mart ´ ınez

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.741860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2727b3e6-d5bf-45cc-896c-bfef8b94e482 · outbound

This paper cites L´ opez-Mart ´ ınez.

Topological dynamics for the endograph metric I: Equivalences with other metrics L´ opez-Mart ´ ınez

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.753707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8c075e0-f7ff-46b8-a4b9-27ec5359237a · outbound

This paper cites L´ opez-Mart ´ ınez and Q.

Topological dynamics for the endograph metric I: Equivalences with other metrics L´ opez-Mart ´ ınez and Q

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.758874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 277b658f-36f2-47fe-b06a-b798b3f62c68 · outbound

This paper cites Mart ´ ınez-Gim´ enez, A.

Topological dynamics for the endograph metric I: Equivalences with other metrics Mart ´ ınez-Gim´ enez, A

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.760991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95ccb5c3-30d3-453c-af63-642556ffed26 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.763215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81e647b0-6a28-4825-b02d-a23c2f42eff5 · outbound

This paper cites Rom´ an-Flores and Y.

Topological dynamics for the endograph metric I: Equivalences with other metrics Rom´ an-Flores and Y

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.765599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b95d56d2-aac8-47cd-9dc0-88e2ed42b8f2 · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.767852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46458279-dba3-4c82-8b80-24861ccfc63f · outbound

This paper cites an unresolved cited work.

Topological dynamics for the endograph metric I: Equivalences with other metrics Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T09:07:24.770144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7f1cc476-ed0f-4301-9f32-22d508fd62b3 · inbound

Topological dynamics for the endograph metric II: Extremely radical properties cites this paper.

Topological dynamics for the endograph metric II: Extremely radical properties Topological dynamics for the endograph metric I: Equivalences with other metrics

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T08:54:04.608933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9e480f7-4d11-428d-9be8-d95453efa1b4 · inbound

Li-Yorke chaos on fuzzy dynamical systems cites this paper.

Li-Yorke chaos on fuzzy dynamical systems Topological dynamics for the endograph metric I: Equivalences with other metrics

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T08:37:26.784130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.