Pith. sign in

Paper Citation Record · LEDGER

Recursive Computation of Path Homology for Stratified Digraphs

As of 16 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 2026-08-16T06:30:59.297886+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.

source=pdf_text observed=2026-08-11T20:44:24.319355Z digest=sha256:0b44080f690adf0e3e3a81a30038b6a37f522eff297e5542f042dd23f7cf0dab

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.326131Z digest=sha256:3dab3ace4286a9e2b1df527dfdcba881584c9ba720a8507c5a056d9c3b98d8b0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.333132Z digest=sha256:848bd267b7042d496cd5f39393d2b94f96ce084ac293960967701ffe8fc1c612

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.340105Z digest=sha256:07cd5d9f8093f060579200a67db1e55711324de9efb6f1b1d70418422602bf2e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.346529Z digest=sha256:fe9b703c278141cb6678d52466fa87915d233987118f1d0ecc169683ca85cee2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.351982Z digest=sha256:6435eba4070d877c9ce5d690f8fbc4d3d56bdedc2e0f7ac4f4bab472746d6f17

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.358398Z digest=sha256:32aeafa9f1508f9d0844e3029b0a73095f3f933ca0c2ff43f8cf616cf3bd3206

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.364218Z digest=sha256:202695aa74ebe94ec9de0cf3aacd7868d10e11785b75330932c01595acb2ce29

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.369912Z digest=sha256:235e7c2c2f6661c0fe4d15473d2c3f66f49ed20d92a982624ccbf15b5034a4e5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.375644Z digest=sha256:b234ffcbcc8a3e27c10775ee8da22df8cec4cbc0b3462cfbe667059cac7f8748

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.380499Z digest=sha256:67a07ece4e7281464576b1457ceac260d43bd33185bb1cf861ab82c786596b28

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.385853Z digest=sha256:5a7a7e2158ae4114a906a6d91e656b1447ed4a650824b4d1da4aee23464da208

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.390709Z digest=sha256:4c7cdc1143c34a96c76cc5193a61b03b50d641b271723756f462d22dbc0efda3

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.

source=pdf_text observed=2026-08-11T20:44:24.395345Z digest=sha256:f0066f5369bdd7d67686f5c664e93d034e521bcb45b419c3929e2eac85316c05

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.401038Z digest=sha256:bb94d516afdfea404a1e59a7e46541c714e9e875a9bf86446a8ce7b48540481d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.406402Z digest=sha256:47cea7d08c0cf0c64ede0ac8e8b22114ef44ede024f6b5a52d3000b2d55f3c21

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.412509Z digest=sha256:19075a57d3919639b5ea1725216454d9bbe993a029261e5a747a484e094e0d09

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.418379Z digest=sha256:49791b579e36fa8c01304211bb1be23fc5c83afe02c83b8ee8f10d08456fdc5c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.426148Z digest=sha256:3c6cf15826e903e719b11714883c02c8bd9d6d7c41d67b34feab04ba397ed931

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.559754Z digest=sha256:6f0f300b0cbf4d5121c292285456c807e432fee2628570411490d2c479da141c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.565058Z digest=sha256:cded745c265c4b9c859914d3455c7c8436127e045c212efb4dd008338d9e1e91

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.569910Z digest=sha256:893044cfafa05863ad0a751d9027153bcb6cf984964f1663b72f29de3718ee65

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.574636Z digest=sha256:2209e1237f07f9f680a320b70d0278cb0094bd9d3316c29ee96333f05fbfad93

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.579952Z digest=sha256:b5c23d4ed911bb354b89c70869ea3c96d138237a7a0f566ddba736ed9ad1fae1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.584895Z digest=sha256:38ebcd2818cf3bd7f9abce77c76643e290f879b99525aa8ff6aba7b1fc17dedb

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.

source=pdf_text observed=2026-08-11T20:44:24.589702Z digest=sha256:c98c4c3e1a8a0045a6722f99e60af5d9237dcfc9b6610c1bd8404ac251925fea

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.595298Z digest=sha256:b8554f222291c13af9b0d6f0cfdd217fec5ff1c86c00cd11eddeebf195b7bb31

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.600708Z digest=sha256:ca191ddd2c763b859dc73b9bb5313f7e7e9b080ce3c777b9d5a91472f3fdbb21

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T20:44:24.605712Z digest=sha256:12acc827d106092f3f30fd7bf6dd94468a95eca8d8d7668a126f4210e134e33c

Pith citing papers

No inbound Pith citation observations are available.