Paper Citation Record · LEDGER

Certifying Robustness via Topological Representations

As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2501.10876.

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

pith.paper-citation-record.v1
2501.10876 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:59:18.021527Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

14 of 14 outbound references displayed

verified exact1
verified fuzzy9
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89c66484-666e-4097-9983-31e239aea67c · outbound

This paper cites The Alpha complex Aα at a scale parameter α is constructed by first considering the union of balls centered at the points in P with radius α.

Certifying Robustness via Topological Representations The Alpha complex Aα at a scale parameter α is constructed by first considering the union of balls centered at the points in P with radius α

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.363267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7a41e4cf-0d07-48f7-a73d-6742132907c0 · outbound

This paper cites Persistence weighted gaussian kernel for topological data analysis.

Certifying Robustness via Topological Representations Persistence weighted gaussian kernel for topological data analysis

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.408489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 195ebfa2-41b4-4782-bead-b6c10c02295b · outbound

This paper cites URL https://doi.

Certifying Robustness via Topological Representations URL https://doi

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T18:59:17.986517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbcadef1-195f-481a-91df-f20aa9b4f59c · outbound

This paper cites Wasserstein Stability for Persistence Diagrams.

Certifying Robustness via Topological Representations Wasserstein Stability for Persistence Diagrams

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T18:59:17.991743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ea38709-9a45-402a-9282-e9b734baedec · outbound

This paper cites By construction (see (Agerberg et al., 2023, Sect.

Certifying Robustness via Topological Representations By construction (see (Agerberg et al., 2023, Sect

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.377548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1fa2bd56-f30f-4236-944d-42a3a7bbb87f · outbound

This paper cites In order to test the robustness of Perslay in PyTorch we reimplement it with the following DeepSet (Zaheer et al.,.

Certifying Robustness via Topological Representations In order to test the robustness of Perslay in PyTorch we reimplement it with the following DeepSet (Zaheer et al.,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.348763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7b53a0c6-132f-43fd-abf0-a0d2e5528d64 · outbound

This paper cites (2020): each point in the persistence diagram is upsampled from 2 dimensions to 25 13 Agerberg Guidolin Martinelli Hoefgeest Eklund Scolamiero through 2 layers.

Certifying Robustness via Topological Representations (2020): each point in the persistence diagram is upsampled from 2 dimensions to 25 13 Agerberg Guidolin Martinelli Hoefgeest Eklund Scolamiero through 2 layers

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.333986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation faba38d4-b9bc-48d6-b5a7-e926216103b1 · outbound

This paper cites Reluplex: An efficient smt solver for verifying deep neural networks.

Certifying Robustness via Topological Representations Reluplex: An efficient smt solver for verifying deep neural networks

Reference 1995

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.424182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1adece68-076a-4000-a050-80626135f703 · outbound

This paper cites ISBN 9781450325943.

Certifying Robustness via Topological Representations ISBN 9781450325943

Reference 2014

Resolution: unresolved; no resolver link, observed 2026-08-10T18:59:17.963785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d630c03d-b9e3-4516-81a1-c644fea6766a · outbound

This paper cites Nicholas Carlini and David Wagner.

Certifying Robustness via Topological Representations Nicholas Carlini and David Wagner

Reference 2015

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.463274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 005ae828-a829-4dc8-832a-abb7fc7d5002 · outbound

This paper cites Algebraic Wasserstein distances and stable homological invariants of data.

Certifying Robustness via Topological Representations Algebraic Wasserstein distances and stable homological invariants of data

Reference 2017

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:59:18.316762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5c2f3d53-4376-4054-822b-1439548995d0 · outbound

This paper cites Persistent homology and distances A.1.

Certifying Robustness via Topological Representations Persistent homology and distances A.1

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.392819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4765d8fc-4fc1-421d-8761-4c87b872eb64 · outbound

This paper cites Topological data analysis for arrhythmia detection through modular neural networks.

Certifying Robustness via Topological Representations Topological data analysis for arrhythmia detection through modular neural networks

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:59:18.438452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 24cfc7be-f9fa-4845-b8fc-a3680481fc45 · outbound

This paper cites doi: 10.1109/tpami.2023.3308391.

Certifying Robustness via Topological Representations doi: 10.1109/tpami.2023.3308391

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-10T18:59:17.954642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.