Paper Citation Record · LEDGER

Kan Approximations of the Persistent Homology Transform

As of 22 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2507.22816.

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

pith.paper-citation-record.v1
2507.22816 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:34:17.092748Z

measured 33 of 33 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

33 of 33 outbound references displayed

verified exact3
verified fuzzy22
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a46a845f-3901-4fc4-8257-87c82eb771b3 · outbound

This paper cites & Boyer, D.

Kan Approximations of the Persistent Homology Transform & Boyer, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T11:34:13.222139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74f45602-8af5-4480-88eb-3d8943751975 · outbound

This paper cites ¨Uber diebestimmung von funktionen durch ihre integralwerte langs b esonderen manifolden.

Kan Approximations of the Persistent Homology Transform ¨Uber diebestimmung von funktionen durch ihre integralwerte langs b esonderen manifolden

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:26.678045Z

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.

Observation a65cca10-64fd-4dfc-8e00-f4707e43bfb0 · outbound

This paper cites On the determination of functions from their integral values along certain manifolds.

Kan Approximations of the Persistent Homology Transform On the determination of functions from their integral values along certain manifolds

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:26.432706Z

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.

Observation f7c31f87-d487-452c-b920-2fb1b804da53 · outbound

This paper cites Cycles lagrangiens, fonctions constructibles et ap plications.

Kan Approximations of the Persistent Homology Transform Cycles lagrangiens, fonctions constructibles et ap plications

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:26.196218Z

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.

Observation fae13ff2-bc9f-4e30-ac6a-fc7c05026ba6 · outbound

This paper cites Some integral calculus based on euler characteristic.

Kan Approximations of the Persistent Homology Transform Some integral calculus based on euler characteristic

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:25.940455Z

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.

Observation 7f6eba4e-4262-44cc-9d0e-4136a977ed01 · outbound

This paper cites Operations on constructible functions.

Kan Approximations of the Persistent Homology Transform Operations on constructible functions

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:25.714626Z

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.

Observation 3dc5fdb3-fc41-4a4a-bf20-41f9734fe23c · outbound

This paper cites Tomography of constructible functions.

Kan Approximations of the Persistent Homology Transform Tomography of constructible functions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:25.476163Z

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.

Observation e5ae7c92-0320-4676-9460-4681f4e13c27 · outbound

This paper cites & Robinson, M.

Kan Approximations of the Persistent Homology Transform & Robinson, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:25.258747Z

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.

Observation 92ff66c1-9180-4676-b855-840227c8f166 · outbound

This paper cites an unresolved cited work.

Kan Approximations of the Persistent Homology Transform Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:34:24.910998Z

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.

Observation 4b0a374b-9a9f-48b3-86b9-1f31fbc0ffcc · outbound

This paper cites Index theorem for constructible sheaves.

Kan Approximations of the Persistent Homology Transform Index theorem for constructible sheaves

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:24.554424Z

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.

Observation 7a290ac0-b99e-4e55-a60b-f85d96da0a65 · outbound

This paper cites & Stolﬁ, J.

Kan Approximations of the Persistent Homology Transform & Stolﬁ, J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:24.194741Z

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.

Observation 57e043bf-3b19-430c-a2e1-9608657ee6b3 · outbound

This paper cites Topological persisten ce and simpliﬁcation.

Kan Approximations of the Persistent Homology Transform Topological persisten ce and simpliﬁcation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:23.746744Z

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.

Observation a90a4111-62d0-4438-bc50-371694f88979 · outbound

This paper cites Topological signal processing, vol.

Kan Approximations of the Persistent Homology Transform Topological signal processing, vol

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:23.399508Z

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.

Observation 7c7ca4be-b2f7-4932-af03-76138153ad5e · outbound

This paper cites & Uhl, A.

Kan Approximations of the Persistent Homology Transform & Uhl, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:23.284533Z

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.

Observation 1515e1f6-ff81-4a89-855f-bd659da67ae9 · outbound

This paper cites X., Mukherjee, S.

Kan Approximations of the Persistent Homology Transform X., Mukherjee, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:22.922899Z

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.

Observation 9af9b6e5-1ebd-46fc-8729-846f52854d78 · outbound

This paper cites an unresolved cited work.

Kan Approximations of the Persistent Homology Transform Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:34:22.617145Z

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.

Observation cee6cbc1-2498-4d67-8126-7c5b6f5ec40b · outbound

This paper cites Differentiable Euler Characteristic Transforms for Shape Classification.

Kan Approximations of the Persistent Homology Transform Differentiable Euler Characteristic Transforms for Shape Classification

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:34:18.322115Z

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.

Observation 93f544d7-360b-445b-921c-9ed22c548f56 · outbound

This paper cites an unresolved cited work.

Kan Approximations of the Persistent Homology Transform Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:34:22.162728Z

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.

Observation efd77045-2239-4170-8f51-80b5888e68da · outbound

This paper cites An Invitation to the Euler Characteristic Transform.

Kan Approximations of the Persistent Homology Transform An Invitation to the Euler Characteristic Transform

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-06T11:34:17.889504Z

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.

Observation 9d25fbac-035f-45d6-8a89-bc82df7c77e9 · outbound

This paper cites & Turner, K.

Kan Approximations of the Persistent Homology Transform & Turner, K

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T11:34:14.716789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 003ca393-365c-40d8-8269-63277a4e3d2f · outbound

This paper cites & Mai, H.

Kan Approximations of the Persistent Homology Transform & Mai, H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:21.718899Z

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.

Observation ea7ab5de-62aa-43b9-95d5-1c808d035523 · outbound

This paper cites & Harer, J.

Kan Approximations of the Persistent Homology Transform & Harer, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:21.370829Z

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.

Observation 0d825941-e3e7-43d4-8770-e5245f604ef1 · outbound

This paper cites an unresolved cited work.

Kan Approximations of the Persistent Homology Transform Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T11:34:21.085568Z

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.

Observation cdfe6d3c-bfcd-4ab4-a23b-355494722098 · outbound

This paper cites & Nanda, V.

Kan Approximations of the Persistent Homology Transform & Nanda, V

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:20.680447Z

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.

Observation 8054078c-178c-4c6a-b046-d6857326ca26 · outbound

This paper cites & Nanda, V.

Kan Approximations of the Persistent Homology Transform & Nanda, V

Reference 25

Resolution: verified exact; doi, observed 2026-08-06T11:34:17.505673Z

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.

Observation 9b1524dd-6137-4fad-a9b8-705c6f49c90e · outbound

This paper cites & Scott, J.

Kan Approximations of the Persistent Homology Transform & Scott, J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T11:34:15.742703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93c5ec8c-fa86-4eed-a62e-9a1bff64f203 · outbound

This paper cites Tame topology and o-minimal structures , vol.

Kan Approximations of the Persistent Homology Transform Tame topology and o-minimal structures , vol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:20.366375Z

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.

Observation 0113fb95-0a5c-4812-8ba4-c7d1b7cb1413 · outbound

This paper cites Decomposition of pointwise ﬁnite-dimension al persistence modules.

Kan Approximations of the Persistent Homology Transform Decomposition of pointwise ﬁnite-dimension al persistence modules

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:19.997706Z

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.

Observation b3bdf3b1-a4d2-4c4e-abec-aa5dd3b8638e · outbound

This paper cites & Oudot, S.

Kan Approximations of the Persistent Homology Transform & Oudot, S

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T11:34:16.299610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9b75ac7-f05f-4059-a0a4-eaced4121d0a · outbound

This paper cites & Mukherjee, S.

Kan Approximations of the Persistent Homology Transform & Mukherjee, S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:19.635724Z

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.

Observation 3a111b9c-ace4-4bbb-a2a1-b5115b44d3d8 · outbound

This paper cites The theory of the interleaving distance on multidimen sional persistence modules.

Kan Approximations of the Persistent Homology Transform The theory of the interleaving distance on multidimen sional persistence modules

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:19.312549Z

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.

Observation 2cea89e5-05f7-438c-8cf2-9c81d0e028d9 · outbound

This paper cites & Lesnick, M.

Kan Approximations of the Persistent Homology Transform & Lesnick, M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:18.894560Z

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.

Observation 55ad179b-a738-4d89-aac6-fb1d3bd49b5a · outbound

This paper cites topological.

Kan Approximations of the Persistent Homology Transform topological

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T11:34:18.609180Z

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.

Pith citing papers

No inbound Pith citation observations are available.