Paper Citation Record · LEDGER

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings

As of 22 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2502.02400.

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

pith.paper-citation-record.v1
2502.02400 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T12:25:47.949840Z

measured 27 of 27 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:28:46.145946Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:28:46.189268Z

Reference resolution

26 of 26 outbound references displayed

verified exact1
verified fuzzy20
unresolved5
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External citation measurements

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Outbound references

Observation 8c2c8d0a-088a-421e-a103-d8ae27a42609 · outbound

This paper cites Basic topology.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Basic topology

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.529706Z

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 19797505-1130-4ab0-8d89-0a1f95334a74 · outbound

This paper cites A unified view on the func- torial nerve theorem and its variations.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings A unified view on the func- torial nerve theorem and its variations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.514954Z

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 2248ac28-48ef-4055-9d97-40f1618421eb · outbound

This paper cites Nerves, fibers and homotopy groups.Journal of Combinatorial Theory, Series A, 102(1):88–93, 2003.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Nerves, fibers and homotopy groups.Journal of Combinatorial Theory, Series A, 102(1):88–93, 2003

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.499382Z

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 45ffa9f9-4701-4b17-88d2-bf9650cd6648 · outbound

This paper cites Topology and groupoids, 2006.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Topology and groupoids, 2006

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.483651Z

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 9b4533c1-50ef-4e95-819c-60383de1aec2 · outbound

This paper cites an unresolved cited work.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-09T12:25:48.468311Z

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

Observation 9e8e91f4-4a69-4fc6-91a8-6531a0aececf · outbound

This paper cites Combinatorial group theory: a topological approach.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Combinatorial group theory: a topological approach

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.453046Z

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 1d402f50-fc8e-48c9-80d7-c58ed508538b · outbound

This paper cites Stability of the cut locus and a central limit theorem for Fr´ echet means of Riemannian manifolds.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Stability of the cut locus and a central limit theorem for Fr´ echet means of Riemannian manifolds

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.437064Z

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 c0be5d69-467a-4207-976e-2e29764ba13d · outbound

This paper cites ˇCech cocycles for differential character- istic classes: an infinity-Lie theoretic construction.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings ˇCech cocycles for differential character- istic classes: an infinity-Lie theoretic construction

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.421785Z

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 1e2b8e1d-a0c6-4bb3-a8b9-e724b8610c4c · outbound

This paper cites Differential Geometry and Lie Groups , volume 12.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Differential Geometry and Lie Groups , volume 12

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.406534Z

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

Observation aa72f3f8-5e51-4430-8bcf-23100b132d5f · outbound

This paper cites Riemannian Geometry.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Riemannian Geometry

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.391636Z

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 e10bffe8-be44-4f9a-8130-29b1eb33b07e · outbound

This paper cites Curvature Sets Over Persistence Diagrams.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Curvature Sets Over Persistence Diagrams

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.376144Z

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 eeb76c70-51d1-497e-8a71-76a1b50e7285 · outbound

This paper cites Critical point theory for distance functions.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Critical point theory for distance functions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.358551Z

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 9d999e2e-5eae-4ac1-9c1a-4a218deb7f48 · outbound

This paper cites Algebraic Topology.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Algebraic Topology

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.342828Z

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 4a5c75a5-c332-4787-84b4-eff105a8a3bc · outbound

This paper cites Categories and groupoids.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Categories and groupoids

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.327146Z

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

Observation c8e84632-8258-4f64-b237-6b8e4d584fd8 · outbound

This paper cites Springer, 1966.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Springer, 1966

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.311617Z

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

Observation d255aab1-9a1e-4b7f-b319-d9bab85f3a0e · outbound

This paper cites Introduction to Smooth Manifolds, volume 218 of Graduate Texts in Mathematics.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Introduction to Smooth Manifolds, volume 218 of Graduate Texts in Mathematics

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.296436Z

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

Observation 3b077af7-4efc-4be3-9aad-49d301a58ac6 · outbound

This paper cites Introduction to Riemannian manifolds , volume 2.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Introduction to Riemannian manifolds , volume 2

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-09T12:25:47.909182Z

Source-reported events for the cited work

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Observation e3cb534c-f15e-47b6-947f-eaafb46f60b5 · outbound

This paper cites Sur la forme des espaces topologiques et sur les points fixes des repr´ esentations.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Sur la forme des espaces topologiques et sur les points fixes des repr´ esentations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.271339Z

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

Observation 0fbba904-953b-4033-bac8-c28f30d079e3 · outbound

This paper cites Hamilton—Jacobi Equations and Distance Functions on Riemannian Manifolds.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Hamilton—Jacobi Equations and Distance Functions on Riemannian Manifolds

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.255922Z

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 2bf4a71e-e540-4b85-92c5-103f34653d04 · outbound

This paper cites Topology; a first course [by] james r.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Topology; a first course [by] james r

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.239308Z

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

Observation a1190417-623b-4413-800b-cac31ad56a79 · outbound

This paper cites Quantifying the homology of periodic cell complexes.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Quantifying the homology of periodic cell complexes

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-09T12:25:47.927226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca45a591-57df-40d7-9906-b773f3746ad8 · outbound

This paper cites Computing 1-Periodic Persistent Homology with Finite Win- dows.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Computing 1-Periodic Persistent Homology with Finite Win- dows

Reference 22

Resolution: verified exact; raw_fallback, observed 2026-08-09T12:25:48.067602Z

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

Observation 31f548fc-2fc6-4c85-88cd-f7bc575bbbec · outbound

This paper cites Category theory in context.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Category theory in context

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-09T12:25:47.936507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a73cf70-89fb-4991-8608-d4624acc20db · outbound

This paper cites Classical topology and combinatorial group theory , volume 72.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Classical topology and combinatorial group theory , volume 72

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.208682Z

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

Observation 0e9900e1-ac5f-46cc-8bdf-4a7276e193fc · outbound

This paper cites An introduction to homological algebra.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings An introduction to homological algebra

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T12:25:48.192958Z

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

Observation 9ab1909d-b6bd-4495-be53-f6f29e06268c · outbound

This paper cites an unresolved cited work.

Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-09T12:25:48.177473Z

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

Pith citing papers

Observation c28fdb78-1454-40ec-b08c-911229829ceb · inbound

Persistent Local Systems of Periodic Spaces cites this paper.

Persistent Local Systems of Periodic Spaces Inferring Ambient Cycles of Point Samples on Manifolds with Universal Coverings

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:28:46.238174Z

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.