Paper Citation Record · LEDGER

Recursive Computation of Path Homology for Stratified Digraphs

As of 20 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2412.05684.

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

pith.paper-citation-record.v1
2412.05684 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:44:24.605712Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

29 of 29 outbound references displayed

verified exact1
verified fuzzy10
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b8442059-ac0d-49f4-af54-8bad3dd6a97f · outbound

This paper cites Topological Data Analysis for Neural Network Analysis: A Comprehensive Survey.

Recursive Computation of Path Homology for Stratified Digraphs Topological Data Analysis for Neural Network Analysis: A Comprehensive Survey

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T20:44:24.319355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa11522e-414f-4830-865f-46d94bf3c1f7 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.194699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4a56f586-adac-47e7-952f-b0b12a6b1da3 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.175409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 73a7357d-cf48-4cfd-a356-d2df9b45fafa · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.157792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation abef6caa-72ee-4601-9eb7-7cba7c7054f8 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.139656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8dc9cd8a-6923-436f-a21d-ba829a0d8049 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.122835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 06a675e1-7c84-4749-ba5d-ca6c5a49d0ff · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.103966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5d00a2e3-be9c-4366-b57d-adb5a2ba3849 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.086593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7bd35f61-b307-4639-8dcd-863e994e191b · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:25.065977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 66166af3-c6ae-4217-ab5e-a0de5015dcdc · outbound

This paper cites and M´ emoli, F.

Recursive Computation of Path Homology for Stratified Digraphs and M´ emoli, F

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:25.044420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6e25d80c-945b-4b44-a80d-fa86a810d637 · outbound

This paper cites K., Li, T., and Wang, Y.

Recursive Computation of Path Homology for Stratified Digraphs K., Li, T., and Wang, Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:25.019584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6539bd4e-fe17-42e0-b850-4941a5ac9255 · outbound

This paper cites Topological persistence and simplification.

Recursive Computation of Path Homology for Stratified Digraphs Topological persistence and simplification

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.991435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1eee953c-6f52-4c35-8216-0a094aac93b9 · outbound

This paper cites and Harer, J.

Recursive Computation of Path Homology for Stratified Digraphs and Harer, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.973590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 168d9173-70a3-4b36-8553-496d78dfc298 · outbound

This paper cites Homologies of path complexes and digraphs.

Recursive Computation of Path Homology for Stratified Digraphs Homologies of path complexes and digraphs

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T20:44:24.395345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1304f3d-4c33-4630-8e74-c5495c8d69a9 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.958420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 09d238ef-4b76-4877-8346-4dfad780656e · outbound

This paper cites A., Schult, D.

Recursive Computation of Path Homology for Stratified Digraphs A., Schult, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.942045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 83d7cbe0-f3d2-4ecb-9096-4d2909e5b468 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.925408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fbe5982d-c608-435e-8f7b-34363cbb6582 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.900391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a09a5300-9539-44df-9f05-6101d8681b4c · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.881495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4a3ecd51-c42d-40c4-aed3-321ed81546d6 · outbound

This paper cites and Villa, A.

Recursive Computation of Path Homology for Stratified Digraphs and Villa, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.865664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c423fedc-ee02-4060-9bcc-c0a4b8d486c8 · outbound

This paper cites and Lazar, N.

Recursive Computation of Path Homology for Stratified Digraphs and Lazar, N

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.848534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9089380d-15e5-43ba-8a93-7e32da8e969b · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.830117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 907dfd13-af99-4df0-bef9-b49b1e641cdf · outbound

This paper cites Characterizing and Measuring the Similarity of Neural Networks with Persistent Homology.

Recursive Computation of Path Homology for Stratified Digraphs Characterizing and Measuring the Similarity of Neural Networks with Persistent Homology

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T20:44:24.671476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2b5461dc-2d96-4f44-94c6-b050f630aa21 · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.808289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 412f13bc-3128-49bd-9cf3-08d2cc4a6127 · outbound

This paper cites W., Nolte, M., Scolamiero, M., Turner, K., Perin, R., Chindemi, G., D lotko, P., Levi, R., Hess, K., and Markram, H.

Recursive Computation of Path Homology for Stratified Digraphs W., Nolte, M., Scolamiero, M., Turner, K., Perin, R., Chindemi, G., D lotko, P., Levi, R., Hess, K., and Markram, H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.790510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 97a859bb-2df5-4051-bd9a-717eeb5be781 · outbound

This paper cites Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology.

Recursive Computation of Path Homology for Stratified Digraphs Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T20:44:24.589702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec0c117f-1c15-4baa-87f2-db09a5b0c012 · outbound

This paper cites and Wayne, K.

Recursive Computation of Path Homology for Stratified Digraphs and Wayne, K

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.773073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce613e9f-000b-4dc7-85de-b310b1d902de · outbound

This paper cites an unresolved cited work.

Recursive Computation of Path Homology for Stratified Digraphs Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:44:24.755992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aa553f0f-1ed5-457b-b288-ebb3dc34165c · outbound

This paper cites and Yamana, H.

Recursive Computation of Path Homology for Stratified Digraphs and Yamana, H

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:44:24.738159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.