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Paper Citation Record · LEDGER

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2506.04045.

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

pith.paper-citation-record.v1
2506.04045 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:57:58.929491Z

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 fuzzy11
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3c5e3ed3-b0a7-49d8-aa9e-fad8680a983a · outbound

This paper cites Fortunato, C.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Fortunato, C

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.502672Z

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=2026-08-07T10:57:58.767723Z digest=sha256:8692e77a25f000a9d84dcb14e2acab23908b457d37ac349b411b9b5c1d8a728e

Observation e2a63f0d-0cec-4af8-942a-3d3a90f01741 · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.482484Z

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=2026-08-07T10:57:58.777875Z digest=sha256:24feef8c02861033b53f20d83fc0f4a06c9f2002ebfa368cd81ea6d24f161673

Observation 6ddbdd64-5700-4b79-b1da-5e6d5c12da41 · outbound

This paper cites Klavans and K.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Klavans and K

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.461603Z

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=2026-08-07T10:57:58.785919Z digest=sha256:9328c90a056b76626baf2dc74a7fb67217e1d40f4d032ed14e5218f6d66c0f09

Observation e5e64ac5-b4b2-4442-87b8-ea559248e18b · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.438136Z

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=2026-08-07T10:57:58.793996Z digest=sha256:a83bbb6d48737950c941982d460182b8a77b65f53077a8f4239062377f4f49e5

Observation 4624391f-d2de-4f2a-8881-db28b899e7e3 · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.417063Z

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=2026-08-07T10:57:58.802434Z digest=sha256:3572f4c33ef1edb77a4c496b7dc2a83918600d12427b31cc630299f26fa1e05a

Observation f6b780a6-05fa-436d-9049-809ffcc4ad86 · outbound

This paper cites Xie and L.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Xie and L

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.394773Z

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=2026-08-07T10:57:58.809599Z digest=sha256:b5d312527659be5f849fd04ae5e12c7ab79aee626761d4405ae3cfef2b7d0b0a

Observation 709bc013-40be-4713-93e8-865a3b2f6bdc · outbound

This paper cites Waltman, K.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Waltman, K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.374839Z

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=2026-08-07T10:57:58.817790Z digest=sha256:d53f4f03baec241f097ed60fde29622a8c42afd2a3be3dc1b40b17997aa7b07b

Observation d24a394f-1ebf-4790-9dc2-83d4f1cebbff · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.352205Z

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=2026-08-07T10:57:58.825037Z digest=sha256:9407799ff01469880b279b51208ad41951e649b3de2e26dae57236a4d04fd2f4

Observation ed63274e-437d-4916-8ca8-7b1b4becb5ac · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.330294Z

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=2026-08-07T10:57:58.834029Z digest=sha256:cc196672d6ba076d389ea6d3de5d9920887853a81b588885d6895e65f96906a3

Observation 5a70d4b5-7127-42e6-83b4-0d2faa4ca963 · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.309414Z

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=2026-08-07T10:57:58.840341Z digest=sha256:32f941e2056cd25b1a644e4ee523aac8552391ce0eb3ec4aaec64aa83f7adb20

Observation a948dcf2-3ffb-46a6-bc09-260414c0625d · outbound

This paper cites Nepusz, A.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Nepusz, A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.284802Z

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=2026-08-07T10:57:58.849077Z digest=sha256:fd33ad537a3ddd4613cb21c0f587aa96a8256b6b2f7c850f54913b08468a8b81

Observation 33aa77e1-10b4-4f6a-be07-b10ee45e6c49 · outbound

This paper cites Ruszczynski, Nonlinear optimization, Princeton Univ.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Ruszczynski, Nonlinear optimization, Princeton Univ

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.263426Z

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=2026-08-07T10:57:58.856609Z digest=sha256:491306011c842caa71f48464693a547e397d4ae17356309a7a14a9610ce72c3c

Observation ebf2cb39-b95a-4380-9c18-320e04b7bc47 · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.230466Z

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=2026-08-07T10:57:58.867565Z digest=sha256:d9150d926b2087c0fb1ca9e177db400ade6dc30a744615fefe3adb4a7a345d60

Observation ca8dfc76-f1cf-4310-82f1-4bbfd95fb7d6 · outbound

This paper cites Duchi, S.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Duchi, S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.211410Z

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=2026-08-07T10:57:58.873112Z digest=sha256:a41e51b7d9cc332c8eb00317827a5825ff28be89d65ff8b13dd142e18366a8b8

Observation 39e2fba6-601b-4d64-bbbc-04cd092994cf · outbound

This paper cites Beck, Introduction to nonlinear optimization: theory, algorithms, and applications with Python and MATLAB , 2014.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Beck, Introduction to nonlinear optimization: theory, algorithms, and applications with Python and MATLAB , 2014

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.184324Z

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=2026-08-07T10:57:58.881743Z digest=sha256:e9d02f6970f255d350c384a6c9c25d0a9cc2b2d341578c288a91776fcc3e42a7

Observation 51133ed8-0eb1-44d5-8be3-5b07e2c6349f · outbound

This paper cites Beck and M.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Beck and M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.145833Z

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=2026-08-07T10:57:58.887874Z digest=sha256:e40ead4f5524e8c547cc90612a8e5eaa3ea16da0a2c819ef6679711ce66b1d34

Observation 4b39046a-8b59-4d3f-9d69-e3caf6b980b2 · outbound

This paper cites Nesterov, A method of solving a convex programming problem with convergence rate O(1/k2), Soviet Math.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Nesterov, A method of solving a convex programming problem with convergence rate O(1/k2), Soviet Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.125576Z

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=2026-08-07T10:57:58.893736Z digest=sha256:d53d547feb4322afe123776c8a81a7238f775b8b32bda9643579a29d29a06b3b

Observation 99521d9d-46ec-4b1f-9737-79670925a146 · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.101625Z

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=2026-08-07T10:57:58.900469Z digest=sha256:7dc40593e096a6f9bc009240224df7d75d85121d6cb48d58c5ba915102b1defe

Observation ff509280-7ca3-4867-a1c0-87aa18ff2a3d · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.077298Z

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=2026-08-07T10:57:58.906450Z digest=sha256:eb4af9a9a6dc1e88a4d57299be9cd1bf06c8eb33b99767cc8357867fe9330ef0

Observation eb2ae845-ecf5-4a2b-bcd2-9cae62406b13 · outbound

This paper cites Bestuzheva, M.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Bestuzheva, M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:57:59.052243Z

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=2026-08-07T10:57:58.912335Z digest=sha256:fb22be299b14e16ecf0a50875cd0780c842ed4c28f9afaf5556ecbfc322b51f8

Observation fb859d79-8afc-4d92-9ec9-9e015932c50e · outbound

This paper cites an unresolved cited work.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:57:59.029803Z

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=2026-08-07T10:57:58.918343Z digest=sha256:f342bdb611307065510294af163fa8db97c3673427c83814f09c111c179bb417

Observation 44b46601-0e1f-4abe-a626-36f6942a82c6 · outbound

This paper cites OpenAlex: A fully-open index of scholarly works, authors, venues, institutions, and concepts.

Similarity-based fuzzy clustering scientific articles: potentials and challenges from mathematical and computational perspectives OpenAlex: A fully-open index of scholarly works, authors, venues, institutions, and concepts

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T10:57:58.929491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:57:58.929491Z digest=sha256:59c5f8891fe2204dc1011c4273f1959fd91a08f42bde220247f977ab56a42883

Pith citing papers

No inbound Pith citation observations are available.