Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T11:34:17.092748Z
Paper Citation Record · LEDGER
Kan Approximations of the Persistent Homology Transform
As of 16 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.