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Paper Citation Record · LEDGER

Recursive Computation of Path Homology for Stratified Digraphs

As of 22 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 2026-08-22T06:32:14.747728+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.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.364218Z digest=sha256:27b7043daef7a27da8126369d63997944f12ddba7048485dcdc057d44fedd2e1

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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.375644Z digest=sha256:d13067f04342378b7feb955034d1b5d6a6078d5cc9fc16c0fcda10c355171c3a

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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.390709Z digest=sha256:4847dd096e3558ee3541d0379d0e96d1257cec4631ef7006efb38d6165dd67f1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.401038Z digest=sha256:8e8f92af47ea0b4856bb0e1f43a921ece88113cd382e75c29d36b38980704e07

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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.412509Z digest=sha256:1d6d7fb09dee755820afd60197a02c58c6d0f04d47d326b3bb778bb1b1946dc4

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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.426148Z digest=sha256:5852c2889c76eb2ee9c80336a30d82212d5ec33bd1b3d4f65efb86080960c41c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.559754Z digest=sha256:cdc6685e2835a07718296d50cb9af749b4576fe834b88da566d85deadf64b36c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.565058Z digest=sha256:b1e98ed1e8a0b34abdbd4daebbc43d902218051d85286864c38fa56d4c8de174

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.569910Z digest=sha256:2a3bad256ebf4a8daadfae1dc4a455f6ccca654457ba77f1f8575bb734a5312b

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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.579952Z digest=sha256:1bd81693cb6d3dee62903730279b4cfb566ecc90595ed8b306dcdcf075f5fac6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.584895Z digest=sha256:5a3341489406a30163c54b4ea5beb9f64af8768f3f957d6bfee135cd4901026f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.595298Z digest=sha256:9f3e6e8d5715c7a5c82b7035c78c1bf622ff97608a530900ea41271d9ff82f74

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.600708Z digest=sha256:a775e0bd736035edb9506d4f6ce752541958b585e505549050210ce33b9c4cd6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T20:44:24.605712Z digest=sha256:ece60269e70655df4dc8cc7842d0c542be0d5761141e56eb9f8b9137b9884fcf

Pith citing papers

No inbound Pith citation observations are available.