Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T10:52:39.536483Z
Paper Citation Record · LEDGER
Primitive path homology
As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2411.18955.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:03.906418Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T18:03:04.776580Z
Reference resolution
20 of 20 outbound references displayed
- verified exact1
- verified fuzzy4
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9a00e98b-0df6-4797-ab56-586095af48e2 · outbound
This paper cites Alexandroff, Discrete raume, Matem.
Primitive path homology Alexandroff, Discrete raume, Matem
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:52:39.719012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f0c17d8d-6725-4345-8423-ddf9e22f51d9 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.711095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 49f8d688-06fe-429f-93b8-21e600b45814 · outbound
This paper cites Path homology of digraphs without multisquares and its comparison with homology of spaces.
Primitive path homology Path homology of digraphs without multisquares and its comparison with homology of spaces
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T10:52:39.488250Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ed67bcd7-eb52-4e4b-9df2-13ea622a245c · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.703470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 91155161-95fa-4395-b343-b33b0bf8fd6f · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.695274Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8fab896e-a9e8-44b6-bcc9-1520ad63e0b3 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.687650Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 45c923d5-eefc-4a12-bf62-260c81425650 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.679892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d1117a82-65ef-46f4-89fb-7b83f75a94ce · outbound
This paper cites Homologies of path complexes and digraphs.
Primitive path homology Homologies of path complexes and digraphs
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T10:52:39.503114Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 491fa043-ab0d-48ee-8a5d-d749b27f06a0 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.671804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 207c0ff1-8331-44db-826c-419a5b90108d · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.663970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 61459cab-418a-487a-be0f-d0313251c080 · outbound
This paper cites 322 (2023), 39–58.
Primitive path homology 322 (2023), 39–58
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:52:39.656096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8442c526-53f0-456d-9d46-5f08341f9f5e · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.648059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9efe89d8-27e6-4013-8a87-bb56366bd76a · outbound
This paper cites Homotopy Relat.
Primitive path homology Homotopy Relat
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:52:39.639387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 34fd6bde-4387-4bb5-a04e-323f82bb2327 · outbound
This paper cites 17 (2015), 383–398.
Primitive path homology 17 (2015), 383–398
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T10:52:39.630539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2fbc163f-3270-4fe2-bb04-64779a88dff1 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.622237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a73a807c-b8c9-4f50-a10b-abb55878f157 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.614114Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7a3451dc-089b-447b-bd4d-1c62278037df · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.606080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2b8b14da-6823-43f8-8816-7ddefdecaaa1 · outbound
This paper cites an unresolved cited work.
Primitive path homology Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:52:39.597821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 77d99743-8051-47ad-9624-3bf2989431a0 · outbound
This paper cites Minimal Path and Acyclic Models in the Path Complex.
Primitive path homology Minimal Path and Acyclic Models in the Path Complex
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T10:52:39.574686Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 50de5d97-5361-4485-84f0-9184908b4177 · outbound
This paper cites The Cellular Homology of Digraphs.
Reference 20
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-12T10:52:39.562183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
Observation cd75c974-76fe-4f17-9eac-a70b766d07a0 · inbound
Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review cites this paper.
Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Primitive path homology
Reference 187
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T18:03:04.780687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.