Paper Citation Record · LEDGER

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions

As of 21 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2608.06180.

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

pith.paper-citation-record.v1
2608.06180 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:21:47.534216Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

41 of 41 outbound references displayed

verified exact3
verified fuzzy19
unresolved18
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation edb26cb3-20cd-4d2f-8cc8-247adbf359ae · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:55.743115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e079f41f-5675-4bf6-b307-32f28e1ce0f2 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:55.625113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 879da5bb-101c-4922-8c2e-6aa4d58553b4 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:55.410218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dcc1750d-5b03-457a-a728-9f3ea8485c6d · outbound

This paper cites Carlsson and A.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Carlsson and A

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T13:21:44.026546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a8e2393-861c-4c55-a37f-93465e227261 · outbound

This paper cites Chazal, V.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Chazal, V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:55.228818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f3880c2b-e82b-4ab5-97c7-50ce9f575a79 · outbound

This paper cites Coste.An Introduction to Semialgebraic Geometry.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Coste.An Introduction to Semialgebraic Geometry

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:55.109373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4ecd6b1c-b196-4a41-a523-742c2c14fc0c · outbound

This paper cites Cultrera di Montesano, O.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Cultrera di Montesano, O

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:54.905800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c87b261e-6d59-49ea-aace-a6ca5b6a73a4 · outbound

This paper cites Chromatic Topological Data Analysis.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Chromatic Topological Data Analysis

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T13:21:44.522626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3c875a6-f2a6-4f21-8a31-f2659015dd1d · outbound

This paper cites Curry .Sheaves, Cosheaves and Applications.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Curry .Sheaves, Cosheaves and Applications

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:54.671411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9a83565a-ebff-49a1-a11b-0c5f97d03685 · outbound

This paper cites Curry , R.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Curry , R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:54.408049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 95549a26-b454-4943-ac85-33142c290b3d · outbound

This paper cites Curry , S.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Curry , S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:54.091739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation adbe5cc4-0b3e-401e-978b-867b6d9f6aa2 · outbound

This paper cites The Euclidean MST-ratio for Bi-colored Lattices.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions The Euclidean MST-ratio for Bi-colored Lattices

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:21:48.111514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64192558-bd91-4928-affd-565540daf12d · outbound

This paper cites Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:21:47.870568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 552cd258-1437-4687-bca1-7f71f7f513dc · outbound

This paper cites Edelsbrunner and J.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Edelsbrunner and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:53.766683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5c472aab-623c-4838-b897-17a581c7fa5d · outbound

This paper cites Edelsbrunner and E.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Edelsbrunner and E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:53.527643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c066d4c-f1e4-484b-bb1f-364cb84e8fc7 · outbound

This paper cites Gray .Tubes.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Gray .Tubes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:53.285903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f0e47062-4be6-4a21-978e-3795a82878ec · outbound

This paper cites Hacquard and V.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Hacquard and V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:52.901636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 235fce58-2c9e-41d1-8047-10a8981c574f · outbound

This paper cites Hadwiger.Vorlesungen ¨uber Inhalt, Oberfl¨ache und Isoperimetrie.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Hadwiger.Vorlesungen ¨uber Inhalt, Oberfl¨ache und Isoperimetrie

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:52.667762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 65f969e5-d789-4bd0-90f3-b80623776327 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T13:21:45.750000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c9be8a1-a210-422a-bd28-155346b5a898 · outbound

This paper cites Hatcher.Algebraic Topology.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Hatcher.Algebraic Topology

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:21:45.800746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed63df9d-2338-4330-9100-7007e986acc8 · outbound

This paper cites Kawamura.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Kawamura

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:52.407616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 40bb126a-6c8d-4130-82da-62581a795ebe · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:52.157774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ed18a6a8-4308-4f7b-915c-f120e2e668c3 · outbound

This paper cites Koenig, S.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Koenig, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:51.872651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5786f2c0-5680-480b-becc-02944283d790 · outbound

This paper cites Lebovici.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Lebovici

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:51.628094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a5cb5612-1ac6-40d6-bd10-0fa42fb90a38 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:51.395825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c72c9b95-232d-4e3c-98d8-9e8c7f371e42 · outbound

This paper cites Majhi, A.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Majhi, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:51.157419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 63287d8f-251f-497e-ac9e-b1c26f875356 · outbound

This paper cites Marde ˇsi´c and J.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Marde ˇsi´c and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:50.854739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 30faeab3-319e-40bf-a312-bcdaf0dceea8 · outbound

This paper cites Niyogi, S.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Niyogi, S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:50.594490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 046c2cce-afa7-4124-ad88-db4879bd3db4 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:50.373588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 642ad28c-aa61-42ca-8428-7fd0703438f9 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:50.158444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 04d47e75-f338-44bf-9df0-775557b2b33c · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:49.866187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 66059005-ba55-409a-8f0d-0e90ada4e784 · outbound

This paper cites Euler Characteristic Surfaces: A Stable Multiscale Topological Summary of Time Series Data.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Euler Characteristic Surfaces: A Stable Multiscale Topological Summary of Time Series Data

Reference 32

Resolution: malformed identifier; local_arxiv, observed 2026-08-07T13:21:47.763360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dff2217e-1326-4649-8e5f-14b1b8e20dfa · outbound

This paper cites Schapira.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Schapira

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:49.622804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 71bc524a-1029-49dc-84b9-6670dd05662f · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:49.330635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 34729afd-e521-4ff7-8378-f25d68743d71 · outbound

This paper cites GUDHI user and reference manual.https://gudhi.inria.fr/, 2024.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions GUDHI user and reference manual.https://gudhi.inria.fr/, 2024

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:21:49.073764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8303bb91-9f87-4f8d-94d0-1c30bbed9e1d · outbound

This paper cites Turner, S.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Turner, S

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T13:21:47.239851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faa5828e-a722-4ac9-a22d-795582872be4 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:48.857187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bc7af4a5-71a7-498b-84c1-f97da525b0b3 · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:48.596733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f686a2a3-f827-4f68-8fe7-e240da5a27c4 · outbound

This paper cites Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Mixup Barcodes: Quantifying Geometric-Topological Interactions between Point Clouds

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T13:21:47.443595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7bae0bd-d05f-4532-9606-ec80df03c0ab · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:21:48.356508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03b7bb56-0f09-490b-ba21-0828db3c101b · outbound

This paper cites an unresolved cited work.

The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions Unresolved cited work

Reference 2026

Resolution: verified exact; doi, observed 2026-08-07T13:21:47.630252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.