Paper Citation Record · LEDGER

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.19991.

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

pith.paper-citation-record.v1
2506.19991 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:31:53.916843Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T14:03:46.606352Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T18:46:09.310349Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy20
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2aa5cbd9-d66b-468d-9d52-bd729999a834 · outbound

This paper cites Measuring hidden phenotype: quantifying the shape of barley seeds using the Euler characteristic transform.in silico Plants, 4(1):diab033, 2022.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Measuring hidden phenotype: quantifying the shape of barley seeds using the Euler characteristic transform.in silico Plants, 4(1):diab033, 2022

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.301564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 407bd8f5-4d15-4db5-a034-b1e96cfff054 · outbound

This paper cites Stability of persistence diagrams.Discrete & Computational Geometry, 37(1):103–120, Jan 2007.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Stability of persistence diagrams.Discrete & Computational Geometry, 37(1):103–120, Jan 2007

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.287928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8154c352-9d96-489c-8575-f79fa40fa4ed · outbound

This paper cites Chen, Sayan Mukherjee, and Ra´ ul Rabad´ an.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Chen, Sayan Mukherjee, and Ra´ ul Rabad´ an

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.274194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cc3b0d6b-12de-4be2-a216-057af54f411c · outbound

This paper cites an unresolved cited work.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T18:31:53.840250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bbdd48e-d876-45ca-ad28-ed100b65ea73 · outbound

This paper cites Cambridge University Press, 2022.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Cambridge University Press, 2022

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T18:31:53.844226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ca96191-fe4b-49d5-bb32-366015f9be51 · outbound

This paper cites Euler characteristic curves and profiles: a stable shape invariant for big data problems.GigaScience, 12:giad094, 2023.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Euler characteristic curves and profiles: a stable shape invariant for big data problems.GigaScience, 12:giad094, 2023

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.242082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0605c63d-b3b0-4ee5-9b69-b75fb2bb0e17 · outbound

This paper cites Persistent homology—a survey.Discrete & Com- putational Geometry - DCG, 453, 01 2008.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Persistent homology—a survey.Discrete & Com- putational Geometry - DCG, 453, 01 2008

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.229342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 823d9f24-cd9f-454a-a6db-14d9f2528778 · outbound

This paper cites Amer- ican Mathematical Society, 2010.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Amer- ican Mathematical Society, 2010

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.215857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 431249fe-15c7-4f62-a76e-aebd14aec01a · outbound

This paper cites Confidence sets for persistence diagrams.The Annals of Statistics, 42(6):2301 – 2339, 2014.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Confidence sets for persistence diagrams.The Annals of Statistics, 42(6):2301 – 2339, 2014

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.204053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2c8f33f3-ce52-4db2-a521-bd6135eb5611 · outbound

This paper cites Euler characteristic tools for topological data analysis.J.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Euler characteristic tools for topological data analysis.J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.191397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 83db0b49-33fc-4725-ba2f-94728c403bfd · outbound

This paper cites Representing fields without correspondences: the lifted Euler characteristic transform.Journal of Applied and Computational Topology, 8(1):1–34, 2024.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Representing fields without correspondences: the lifted Euler characteristic transform.Journal of Applied and Computational Topology, 8(1):1–34, 2024

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.177899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fad59c1c-5e40-421f-9963-7dda299dc74f · outbound

This paper cites Stability and inference of the Euler characteristic transform, 2023.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Stability and inference of the Euler characteristic transform, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.163393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8690e906-2a18-4b03-a1b5-025dd540a1ff · outbound

This paper cites Detecting temporal shape changes with the Euler characteristic transform.Transactions of Mathematics and Its Applications, 8(2):tnae002, 07 2024.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Detecting temporal shape changes with the Euler characteristic transform.Transactions of Mathematics and Its Applications, 8(2):tnae002, 07 2024

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.113928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 56b0cbe7-d010-4ea8-abe5-ee58633c25f8 · outbound

This paper cites Filtered topology and persistence in stable homotopy, 2025.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Filtered topology and persistence in stable homotopy, 2025

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.085121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e675a9e1-74fb-4ea2-a519-ce3d959574d2 · outbound

This paper cites An Invitation to the Euler Characteristic Transform.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding An Invitation to the Euler Characteristic Transform

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T18:31:53.883599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a54e3c8-23be-4954-8401-a079176e79da · outbound

This paper cites Euler characteristic transform based topological loss for reconstructing 3d images from single 2d slices.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Euler characteristic transform based topological loss for reconstructing 3d images from single 2d slices

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.072199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a9aa0c59-006b-495b-8a03-bdacfb76794f · outbound

This paper cites Euler and Betti curves are stable under wasserstein deformations of distri- butions of stochastic processes, 2022.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Euler and Betti curves are stable under wasserstein deformations of distri- butions of stochastic processes, 2022

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.059269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1dd54186-2e0c-4004-9e84-4e448b4c9d6e · outbound

This paper cites Bootstrapping persistent Betti numbers and other stabilizing statistics.The Annals of Statistics, 51(4):1484 – 1509, 2023.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Bootstrapping persistent Betti numbers and other stabilizing statistics.The Annals of Statistics, 51(4):1484 – 1509, 2023

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.046646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ad94d897-eee2-41da-9a87-249100ea7e4e · outbound

This paper cites Wasserstein Stability for Persistence Diagrams.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Wasserstein Stability for Persistence Diagrams

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T18:31:53.898212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b457385e-0f9a-4293-a752-1d2eab3257a4 · outbound

This paper cites A topological data analytic approach for discovering biophysical signatures in protein dynamics.PLoS computational biology, 18(5):e1010045, 2022.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding A topological data analytic approach for discovering biophysical signatures in protein dynamics.PLoS computational biology, 18(5):e1010045, 2022

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.033687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e4fe3db7-bf34-437b-8ce7-0b467301d922 · outbound

This paper cites Medians of populations of persistence diagrams.Homology, Homotopy and Applications, 22(1):255–282, July 2020.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Medians of populations of persistence diagrams.Homology, Homotopy and Applications, 22(1):255–282, July 2020

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.021444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 09462c6c-fc7a-4a98-a73f-e586b06c6b49 · outbound

This paper cites Persistent homology transform for modeling shapes and surfaces.Information and Inference: A Journal of the IMA, 3(4):310–344, 2014.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Persistent homology transform for modeling shapes and surfaces.Information and Inference: A Journal of the IMA, 3(4):310–344, 2014

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:54.007620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0b7b43f5-34ae-4c06-8519-bfc1f17779f2 · outbound

This paper cites Cambridge university press, 1998.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding Cambridge university press, 1998

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:53.994456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8f0d7c2d-a0bc-4591-8529-35c83164a960 · outbound

This paper cites A statistical pipeline for identifying physical features that differentiate classes of 3d shapes.The Annals of Applied Statistics, 15(2):638–661, 2021.

On the Stability of the Euler Characteristic Transform for a Perturbed Embedding A statistical pipeline for identifying physical features that differentiate classes of 3d shapes.The Annals of Applied Statistics, 15(2):638–661, 2021

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:31:53.980271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 4ef5f86f-8356-4cba-9712-1c6c159dfa69 · inbound

Geometry-Aware Simplicial Message Passing cites this paper.

Geometry-Aware Simplicial Message Passing On the Stability of the Euler Characteristic Transform for a Perturbed Embedding

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:46:09.315868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.