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Paper Citation Record · LEDGER

Explainable topological data analysis using persistence heatmaps

As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2510.12756.

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

pith.paper-citation-record.v1
2510.12756 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:57:43.286208Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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 exact0
  • verified fuzzy0
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f1d66c1f-8d88-4eea-b980-d8adba31903f · outbound

This paper cites Clear and compress: Computing persistent homology in chunks.

Explainable topological data analysis using persistence heatmaps Clear and compress: Computing persistent homology in chunks

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:41.687819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:41.687819Z digest=sha256:a7390002ff7d30716632d1517b21e7b322ccb2c3e47bf00a1a1bdbdcff8d17ed

Observation 404e1f5a-31e2-4f65-b658-26ef297f4590 · outbound

This paper cites Stabilizing the unstable output of persistent homology computations.Journal of Applied and Computational Topology volume 4, pages 309-338 (2020), 12 2015.

Explainable topological data analysis using persistence heatmaps Stabilizing the unstable output of persistent homology computations.Journal of Applied and Computational Topology volume 4, pages 309-338 (2020), 12 2015

Reference 2

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unresolved
no resolver link, observed 2026-08-04T09:57:41.744739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:41.744739Z digest=sha256:bcfdf2e6bfe3fa699ceea259ce0b35632397f727a89172222fcd61c46d0fa4df

Observation 0d03c048-6e89-47be-8623-ec4dca0abfce · outbound

This paper cites Statistical topological data analysis using persistence landscapes.J.

Explainable topological data analysis using persistence heatmaps Statistical topological data analysis using persistence landscapes.J

Reference 3

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unresolved
no resolver link, observed 2026-08-04T09:57:41.785970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:41.785970Z digest=sha256:779353b8ff51d71310f3bf26b62682f7d516c058f9d2d63bfe3a680560f2369f

Observation 731618bb-4b12-40b8-b5bc-1db7a6bdf59f · outbound

This paper cites Springer, 2016.

Explainable topological data analysis using persistence heatmaps Springer, 2016

Reference 4

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unresolved
no resolver link, observed 2026-08-04T09:57:41.865677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:41.865677Z digest=sha256:a47a4a4a5249d8b4a5487e2dee7527c2c72b9ecaa3be2a43bbad9170ce20b942

Observation 89c95d67-2a98-4640-9fb2-3e4c45979e64 · outbound

This paper cites Persistent homology computation with a twist.

Explainable topological data analysis using persistence heatmaps Persistent homology computation with a twist

Reference 5

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unresolved
no resolver link, observed 2026-08-04T09:57:41.978373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:41.978373Z digest=sha256:4e7974fc36b07070aae65b9b56eb487a53a8a28181bd98a80a828d66952d5a3e

Observation ff24342a-091d-4b66-8dde-e44b32b490cd · outbound

This paper cites Stability of persistence diagrams.

Explainable topological data analysis using persistence heatmaps Stability of persistence diagrams

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:42.125057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:42.125057Z digest=sha256:34f5d5d383b2bc34a784dbe92610fb88784021323983c29b6811d82b75bed83f

Observation aab4cd5c-a64b-4cb0-83a9-bd723e10807c · outbound

This paper cites Dualities in persistent (co) homology.Inverse Problems, 27(12):124003, 2011.

Explainable topological data analysis using persistence heatmaps Dualities in persistent (co) homology.Inverse Problems, 27(12):124003, 2011

Reference 7

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unresolved
no resolver link, observed 2026-08-04T09:57:42.315684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:42.315684Z digest=sha256:62eaadb7f7313f13160abcdb373e96ef418dc33bf241cfcaeeb99193316fc24a

Observation 1ddad16a-8b2e-4699-8baa-6231fd072044 · outbound

This paper cites How many eigenvalues of a random matrix are real?Journal of the American Mathematical Society, 7(1):247–267, 1994.

Explainable topological data analysis using persistence heatmaps How many eigenvalues of a random matrix are real?Journal of the American Mathematical Society, 7(1):247–267, 1994

Reference 8

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unresolved
no resolver link, observed 2026-08-04T09:57:42.452077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:42.452077Z digest=sha256:f416b750f11138b9ddded87ae816c80da2ca06ff62e69335b145528e4a9a7d33

Observation 9dd79056-6937-4cd0-b96f-b694c469aaa2 · outbound

This paper cites Topological persistence and simplification.Discrete & Computational Geometry, 28(4):511–533, Nov 2002.

Explainable topological data analysis using persistence heatmaps Topological persistence and simplification.Discrete & Computational Geometry, 28(4):511–533, Nov 2002

Reference 9

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no resolver link, observed 2026-08-04T09:57:42.542647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:42.542647Z digest=sha256:cc5c9dbc15152ac371f3313cb71d38d52e5613800e5d604cddf30a3acc4828aa

Observation 3422ade4-c126-4d7d-b158-08a03496cc6b · outbound

This paper cites American Mathematical Soc., 2010.

Explainable topological data analysis using persistence heatmaps American Mathematical Soc., 2010

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:42.654196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:42.654196Z digest=sha256:35f82c6815d29ded751fa8bc14239207067b147452d5c9e3a28b138ad1ce678d

Observation 5e3e4a64-45de-4ee2-a38d-6e681379f0d5 · outbound

This paper cites Statistical ensembles of complex, quaternion, and real matrices.Journal of Mathematical Physics, 6(3):440–449, 1965.

Explainable topological data analysis using persistence heatmaps Statistical ensembles of complex, quaternion, and real matrices.Journal of Mathematical Physics, 6(3):440–449, 1965

Reference 11

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unresolved
no resolver link, observed 2026-08-04T09:57:42.873735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:42.873735Z digest=sha256:6c317cd16ed8e2c7f8cd559335a0f6cee25356dd58027aeeca377669c01f70d2

Observation 832d9d4b-a074-48d6-aaf4-96dfc6f07eb2 · outbound

This paper cites Dna microarrays: design principles for maximizing ergodic, chaotic mixing.Small, 3(2):202–218, 2007.

Explainable topological data analysis using persistence heatmaps Dna microarrays: design principles for maximizing ergodic, chaotic mixing.Small, 3(2):202–218, 2007

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:43.004266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:43.004266Z digest=sha256:8cab35e5ee80c2687a40588e367a0190f6d81b0c3ea57099851b951c5f820f07

Observation f79c8a8d-9a4a-4871-9d99-3efd108bafc9 · outbound

This paper cites Wasserstein Stability for Persistence Diagrams.

Explainable topological data analysis using persistence heatmaps Wasserstein Stability for Persistence Diagrams

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:43.105825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:43.105825Z digest=sha256:ecb6fa67852510c44f3ab778f3c4408dff1c4107fb447a6cafa7b4dfcc30b9f6

Observation 9cf1b2e9-4091-4193-81f3-6af990c3b256 · outbound

This paper cites Computing persistent homology.Discrete & Computational Geometry, 33(2):249–274, Feb 2005.

Explainable topological data analysis using persistence heatmaps Computing persistent homology.Discrete & Computational Geometry, 33(2):249–274, Feb 2005

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T09:57:43.286208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:57:43.286208Z digest=sha256:d2f02a385c9a7fdaae0a8c4c1ea649800329e7a97c40cec82bc601ead5cd8c52

Pith citing papers

No inbound Pith citation observations are available.