Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T20:41:45.752896Z
Paper Citation Record · LEDGER
Inductive construction of path homology chains
As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2411.09501.
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 2026-08-02T03:33:33.381708Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact0
- verified fuzzy21
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ad33971a-140c-4607-b915-63eda4ed40a0 · outbound
This paper cites Asao, Magnitude homology and path homology , Bull.
Inductive construction of path homology chains Asao, Magnitude homology and path homology , Bull
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.211526Z
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 a278f247-d17e-40e1-a550-637e09b7ad10 · outbound
This paper cites Burfitt, Path homology with field coefficients , November 2024, https://github.com/MatthewBurfitt/Path-homology-with-field-coefficients.git.
Inductive construction of path homology chains Burfitt, Path homology with field coefficients , November 2024, https://github.com/MatthewBurfitt/Path-homology-with-field-coefficients.git
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.196635Z
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 4ff99792-b8fc-43df-aeb6-908f05389ab9 · outbound
This paper cites Carlsson, Topology and data , Bull.
Inductive construction of path homology chains Carlsson, Topology and data , Bull
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.180599Z
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 b79a468f-b2aa-4a41-aa57-49f1da406f41 · outbound
This paper cites Carranza et al., Python script for computing path homology of digraphs , September 2022, https://github.com/sheaves/path_homology.
Inductive construction of path homology chains Carranza et al., Python script for computing path homology of digraphs , September 2022, https://github.com/sheaves/path_homology
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.164677Z
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 5f4c29ac-091c-4626-b498-a893a0ff7a93 · outbound
This paper cites Chowdhury, T.
Inductive construction of path homology chains Chowdhury, T
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.148636Z
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 3ca45d3a-2843-4f07-b07f-7667401f8d97 · outbound
This paper cites Chowdhury, S.
Inductive construction of path homology chains Chowdhury, S
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.132516Z
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 272cd6d5-2e99-4f6d-8815-7eb3a636f7bb · outbound
This paper cites Chowdhury and F.
Inductive construction of path homology chains Chowdhury and F
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.116599Z
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 fb7bb302-58d9-4e09-bd4b-dd5c11a76d66 · outbound
This paper cites an unresolved cited work.
Inductive construction of path homology chains Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T20:41:46.100616Z
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 0527eb51-8004-4c03-a037-16800034bb7b · outbound
This paper cites Dimakis and F.
Inductive construction of path homology chains Dimakis and F
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.084444Z
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 c80179a0-4821-4d06-af2a-a1ec4e111f97 · outbound
This paper cites Edelsbrunner and D.
Inductive construction of path homology chains Edelsbrunner and D
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.067665Z
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 44760cfc-b8e6-424b-9768-308522c4fab0 · outbound
This paper cites Path homology of digraphs without multisquares and its comparison with homology of spaces.
Inductive construction of path homology chains Path homology of digraphs without multisquares and its comparison with homology of spaces
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T20:41:45.680024Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f7685103-6faa-4650-962e-4caa7a9a0d0f · outbound
This paper cites Grbi´ c, J.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.050769Z
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 4e601433-869c-4619-8a51-ace8121f8a7b · outbound
This paper cites Grigor’yan, R.
Inductive construction of path homology chains Grigor’yan, R
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.031256Z
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 33a3c7a0-33a6-432e-9909-0dc3eb3f86a4 · outbound
This paper cites Grigor’yan, Y.
Inductive construction of path homology chains Grigor’yan, Y
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:46.014866Z
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 b591f69a-62a0-4d39-8f99-42f9d52ecea7 · outbound
This paper cites Homologies of path complexes and digraphs.
Inductive construction of path homology chains Homologies of path complexes and digraphs
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T20:41:45.699329Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8bf4a8ce-6f65-4e8f-aa2d-250d4f202621 · outbound
This paper cites an unresolved cited work.
Inductive construction of path homology chains Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T20:41:45.997941Z
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 06e0b1fc-6e79-4c68-ba83-d61fd78010af · outbound
This paper cites Grigor’yan and Y.
Inductive construction of path homology chains Grigor’yan and Y
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.982099Z
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 21117cec-fa13-476e-810b-1cc49b650ca6 · outbound
This paper cites Grigor’yan, Y.
Inductive construction of path homology chains Grigor’yan, Y
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.965269Z
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 d639df30-82ff-4e2a-8499-db19d5b1064e · outbound
This paper cites Grigor’yan, Advances in path homology theory of digraphs , ICCM 10 (2022), no.
Inductive construction of path homology chains Grigor’yan, Advances in path homology theory of digraphs , ICCM 10 (2022), no
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.948882Z
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 94524915-948d-4347-a797-e8e3262aed8c · outbound
This paper cites Grigor’yan, Y.
Inductive construction of path homology chains Grigor’yan, Y
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.931406Z
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 87b0f16b-504f-4517-ba82-2ae9dd180614 · outbound
This paper cites Bigraded path homology and the magnitude-path spectral sequence.
Inductive construction of path homology chains Bigraded path homology and the magnitude-path spectral sequence
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T20:41:45.728507Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac2679cc-843a-4662-94d0-0bc009643c5d · outbound
This paper cites Hepworth and S.
Inductive construction of path homology chains Hepworth and S
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.912967Z
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 321de481-270b-4a2b-9d1f-c524ccc2afc1 · outbound
This paper cites Ivanov and F.
Inductive construction of path homology chains Ivanov and F
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.896154Z
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 fae09211-6c75-4013-bb57-3340bc40e2b5 · outbound
This paper cites Leinster and M.
Inductive construction of path homology chains Leinster and M
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.878874Z
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 f0028cef-7f1e-4ee2-9f91-0ec921d6de51 · outbound
This paper cites Masulli and P.
Inductive construction of path homology chains Masulli and P
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.861881Z
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 2956b858-4140-4f86-87e5-eb610ef67f16 · outbound
This paper cites Reimann et al., Cliques of neurons bound into cavities provide a missing lin k between structure and function , Front.
Inductive construction of path homology chains Reimann et al., Cliques of neurons bound into cavities provide a missing lin k between structure and function , Front
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T20:41:45.843595Z
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 729673e3-4f46-4051-abae-4fcb8e21008b · inbound
Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ cites this paper.
Inductive construction of path homology chains and the structure of $\Omega_3(G;R)$ Inductive construction of path homology chains
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T03:33:33.381708Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.