Paper Citation Record · LEDGER

Persistence and Topological Complexity

As of 21 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2506.17888.

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

pith.paper-citation-record.v1
2506.17888 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:11:00.014371Z

measured 14 of 14 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

14 of 14 outbound references displayed

verified exact5
verified fuzzy2
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16ac30e6-c1e9-454c-ad11-c8a83e316e56 · outbound

This paper cites Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes.

Persistence and Topological Complexity Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T19:10:59.955408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b65e0bd1-35d6-4574-abb4-30f1655d9ada · outbound

This paper cites Persistent Sullivan Minimal Models of Metric Spaces.

Persistence and Topological Complexity Persistent Sullivan Minimal Models of Metric Spaces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T19:11:00.014371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eaa19363-aa77-42c3-8f62-ea1779cfe84e · outbound

This paper cites [Cor+03] Octavian Cornea, Gregory Lupton, John Oprea, Daniel Tanr´ e, et al.Lusternik-Schnirelmann category.

Persistence and Topological Complexity [Cor+03] Octavian Cornea, Gregory Lupton, John Oprea, Daniel Tanr´ e, et al.Lusternik-Schnirelmann category

Reference 17

Resolution: verified exact; doi, observed 2026-08-15T19:11:00.092308Z

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 22dbb100-6b4c-46e8-9649-9c05422d0f1b · outbound

This paper cites Some novel constructions of optimal Gromov-Hausdorff-optimal correspondences between spheres.

Persistence and Topological Complexity Some novel constructions of optimal Gromov-Hausdorff-optimal correspondences between spheres

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:11:00.321007Z

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 fb92e254-69a1-4f9a-958d-dba6210f856a · outbound

This paper cites Relative topological complexity of a pair.

Persistence and Topological Complexity Relative topological complexity of a pair

Reference 25

Resolution: metadata mismatch; raw_fallback, observed 2026-08-15T19:11:00.299706Z

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 517f448c-54e1-48fd-972f-bad162d7cfdf · outbound

This paper cites Limite inf´ erieure pour le nombre des valeurs critiques d’une fonction, donn´ ee sur une vari´ et´ e.

Persistence and Topological Complexity Limite inf´ erieure pour le nombre des valeurs critiques d’une fonction, donn´ ee sur une vari´ et´ e

Reference 217

Resolution: unresolved; no resolver link, observed 2026-08-15T19:10:59.978699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52905ccc-0975-4609-bec9-56f135253ebe · outbound

This paper cites Leibniz Int.

Persistence and Topological Complexity Leibniz Int

Reference 224

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:00.510613Z

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 ec0f9eb1-f525-453c-b8ed-979edeee935e · outbound

This paper cites Amplitudes in persistence theory.

Persistence and Topological Complexity Amplitudes in persistence theory

Reference 1607

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:11:00.361631Z

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 86610e38-fb06-4a05-b0a3-e0d2cc388ab0 · outbound

This paper cites Some properties of Gromov-Hausdorff distances.

Persistence and Topological Complexity Some properties of Gromov-Hausdorff distances

Reference 1934

Resolution: verified exact; doi, observed 2026-08-15T19:11:00.054216Z

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 927ffd24-0467-42c3-8f7d-f6b951e783d8 · outbound

This paper cites The Gromov-Hausdorff distance between vertex sets of regular polygons inscribed in a single circle.

Persistence and Topological Complexity The Gromov-Hausdorff distance between vertex sets of regular polygons inscribed in a single circle

Reference 1989

Resolution: verified exact; doi, observed 2026-08-15T19:11:00.483809Z

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 6afdc4d4-f20b-4168-93f9-b2237c32375f · outbound

This paper cites Rank-based persistence.

Persistence and Topological Complexity Rank-based persistence

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-08-15T19:10:59.960900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 418de1df-1415-49b0-abe9-f55322cfedc2 · outbound

This paper cites The theory of multidimensional persistence.

Persistence and Topological Complexity The theory of multidimensional persistence

Reference 2003

Resolution: malformed identifier; no resolver link, observed 2026-08-15T19:10:59.974886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab514d07-f2f2-4b8c-92a0-15bc42349363 · outbound

This paper cites On the topological complexity of maps.

Persistence and Topological Complexity On the topological complexity of maps

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:11:00.497426Z

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 3cb5597d-5e88-4067-b402-9222cb8c5071 · outbound

This paper cites Persistent cohomology operations and Gromov-Hausdorff estimates.

Persistence and Topological Complexity Persistent cohomology operations and Gromov-Hausdorff estimates

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T19:10:59.991400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.