Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:22:16.970782Z
Paper Citation Record · LEDGER
An isometry theorem for persistent homology of circle-valued functions
As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.02999.
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 2026-08-07T06:34:17.273281+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
35 of 35 outbound references displayed
- verified exact9
- verified fuzzy10
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 85b76271-f615-44d2-8fee-535e26d24a17 · outbound
This paper cites Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.
An isometry theorem for persistent homology of circle-valued functions Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:22:18.836442Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e05f826f-9560-4070-8fc5-7591980f31ab · outbound
This paper cites Assem, D.
An isometry theorem for persistent homology of circle-valued functions Assem, D
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:21.082302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 272a5626-4a8c-40ff-8878-2d6a83e256db · outbound
This paper cites Auslander, I.
An isometry theorem for persistent homology of circle-valued functions Auslander, I
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-07T11:22:17.670785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0fba359a-527f-4ac6-8110-bb450a2d4f23 · outbound
This paper cites Auslander, I.
An isometry theorem for persistent homology of circle-valued functions Auslander, I
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:20.901405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7dc3f244-99c9-45c6-8520-944e3211a30f · outbound
This paper cites Bauer, M.
An isometry theorem for persistent homology of circle-valued functions Bauer, M
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.316964Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baedaa47-eae4-464f-a0c0-02b3a62ba96d · outbound
This paper cites an unresolved cited work.
An isometry theorem for persistent homology of circle-valued functions Unresolved cited work
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.322635Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c59a2426-2185-4108-9e29-8fcb7feb2910 · outbound
This paper cites Bekkert, H.A.
An isometry theorem for persistent homology of circle-valued functions Bekkert, H.A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:20.738466Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 14acabd3-b9f4-4cba-a6eb-fc3d6fad110c · outbound
This paper cites Stability of higher-dimensional interval decomposable persistence modules.
An isometry theorem for persistent homology of circle-valued functions Stability of higher-dimensional interval decomposable persistence modules
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.334282Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45ff226a-6545-4cb9-8084-12fe46e80401 · outbound
This paper cites The almost split triangles for perfect complexes over gentle algebras.
An isometry theorem for persistent homology of circle-valued functions The almost split triangles for perfect complexes over gentle algebras
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:22:18.637418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 459ca989-3125-4396-bde2-a58165111909 · outbound
This paper cites Botnan, M.
An isometry theorem for persistent homology of circle-valued functions Botnan, M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:20.583360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2c1d1aca-592a-452c-9e7f-826394f32689 · outbound
This paper cites Bubenik, V.
An isometry theorem for persistent homology of circle-valued functions Bubenik, V
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.352090Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60746245-5313-49de-9e7d-23bc08431701 · outbound
This paper cites Persistence for Circle Valued Maps.
An isometry theorem for persistent homology of circle-valued functions Persistence for Circle Valued Maps
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:22:18.465355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e6a91df2-98ba-4dd8-9133-4d89fbeb4930 · outbound
This paper cites Burghelea, S.
An isometry theorem for persistent homology of circle-valued functions Burghelea, S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:20.411259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 38fe77e2-b57c-4aa3-923d-460db3e3aa3e · outbound
This paper cites On extensions for gentle algebras.
An isometry theorem for persistent homology of circle-valued functions On extensions for gentle algebras
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:22:18.267883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7cbe0089-a452-4117-b734-daa962d61277 · outbound
This paper cites Carlsson, V.
An isometry theorem for persistent homology of circle-valued functions Carlsson, V
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.374848Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1837d6d-8745-4bf8-b0fb-a81e40370e9e · outbound
This paper cites Chazal, D.
An isometry theorem for persistent homology of circle-valued functions Chazal, D
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.385141Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8161f0c4-e690-4f40-9efb-a4dc1106f3a0 · outbound
This paper cites Cohen-Steiner, H.
An isometry theorem for persistent homology of circle-valued functions Cohen-Steiner, H
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:20.263676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 98680291-7391-423a-854d-117245d9ddc2 · outbound
This paper cites Crawley-Boevey: Decomposition of pointwise finite-dimensional persistence modules , Journal of Algebra and its Applications, 14(05):1550066, 2015.
An isometry theorem for persistent homology of circle-valued functions Crawley-Boevey: Decomposition of pointwise finite-dimensional persistence modules , Journal of Algebra and its Applications, 14(05):1550066, 2015
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:20.106682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b5bd351a-9cbc-461c-853b-a4da2858c4a3 · outbound
This paper cites an unresolved cited work.
An isometry theorem for persistent homology of circle-valued functions Unresolved cited work
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.424789Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4e118fd8-66ef-4541-9b2f-ec5f419d79d6 · outbound
This paper cites Escolar, Y.
An isometry theorem for persistent homology of circle-valued functions Escolar, Y
Reference 20
- Resolution
- verified exact
- doi, observed 2026-08-07T11:22:17.410755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e601cf64-4a58-467a-b5b1-3f4c480fe2fd · outbound
This paper cites Gabriel: Unzerlegbare Darstellungen I.
An isometry theorem for persistent homology of circle-valued functions Gabriel: Unzerlegbare Darstellungen I
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.447552Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4e54492-0a8e-4ceb-989e-168f595b1b65 · outbound
This paper cites Isometry Theorem for Continuous Quiver of Type $\tilde{A}$.
An isometry theorem for persistent homology of circle-valued functions Isometry Theorem for Continuous Quiver of Type $\tilde{A}$
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:22:18.003948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0eb71bd9-2698-4f37-9fb3-65444d50e0f5 · outbound
This paper cites an unresolved cited work.
An isometry theorem for persistent homology of circle-valued functions Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:22:19.954557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 17bfdaf9-7866-422d-bf7c-f554de65fcdf · outbound
This paper cites Haiden, L.
An isometry theorem for persistent homology of circle-valued functions Haiden, L
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:19.820206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a122471f-8cc9-4ef9-94b0-4a80cc4f5dfc · outbound
This paper cites an unresolved cited work.
An isometry theorem for persistent homology of circle-valued functions Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:22:19.674688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a10a2e21-8d94-4df2-a037-076f57d40f62 · outbound
This paper cites Hiraoka, Y.
An isometry theorem for persistent homology of circle-valued functions Hiraoka, Y
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:19.510945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a03cef37-abe8-41e2-8095-ce1f55743edf · outbound
This paper cites Igusa, J.
An isometry theorem for persistent homology of circle-valued functions Igusa, J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:22:19.384489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 058e5f7c-0253-46ee-acbc-9254dc402582 · outbound
This paper cites Keller: Derived categories and their uses , in: Handbook of Algebra, vol.
An isometry theorem for persistent homology of circle-valued functions Keller: Derived categories and their uses , in: Handbook of Algebra, vol
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.550973Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba851fe0-3b7b-44c9-8c30-f393b4ede893 · outbound
This paper cites Lekili, A.
An isometry theorem for persistent homology of circle-valued functions Lekili, A
Reference 29
- Resolution
- verified exact
- doi, observed 2026-08-07T11:22:17.217807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2124f234-2ee3-48ef-8e41-d1d23faeac1a · outbound
This paper cites Lesnick: The Theory of the Interleaving Distance on Multidimensional Persistence Modules , Found Comput Math 15, 613–650 (2015) https://doi.org/10.1007/s10208-015-9255-y.
An isometry theorem for persistent homology of circle-valued functions Lesnick: The Theory of the Interleaving Distance on Multidimensional Persistence Modules , Found Comput Math 15, 613–650 (2015) https://doi.org/10.1007/s10208-015-9255-y
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.578170Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8db364f7-2ab5-45aa-aa88-934ec49e9d6c · outbound
This paper cites an unresolved cited work.
An isometry theorem for persistent homology of circle-valued functions Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:22:19.205941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4fa8a0a3-7e31-4969-b6b0-1d3948b2174d · outbound
This paper cites An Isometry Theorem for Generalized Persistence Modules.
An isometry theorem for persistent homology of circle-valued functions An Isometry Theorem for Generalized Persistence Modules
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:22:17.827888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2fabe443-8ff8-4b5c-bc00-66a203e8abc4 · outbound
This paper cites A geometric model for the derived category of gentle algebras.
An isometry theorem for persistent homology of circle-valued functions A geometric model for the derived category of gentle algebras
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.776233Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c3d5427-9e35-4b7b-b8c4-be231182ddbe · outbound
This paper cites an unresolved cited work.
An isometry theorem for persistent homology of circle-valued functions Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:22:19.028593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 305e4828-b579-49fc-b3bf-3a97712bd970 · outbound
This paper cites de Silva, D.
An isometry theorem for persistent homology of circle-valued functions de Silva, D
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:22:16.970782Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.