Paper Citation Record · LEDGER

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review

As of 13 August 2026, this Paper Citation Record lists 100 of 300 outbound references and 3 inbound Pith citation observations for arXiv:2507.19504.

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

pith.paper-citation-record.v1
2507.19504 v1

Coverage vector

measured 100 of 300 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:03:03.577899Z

measured 103 of 103 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:54:32.955594Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T11:53:24.447206Z

Reference resolution

100 of 300 outbound references displayed

verified exact0
verified fuzzy0
unresolved96
parse uncertain0
malformed identifier0
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f76fbab5-8cc8-4a81-aa2b-0746636f405a · outbound

This paper cites American Mathematical Society, (2004).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review American Mathematical Society, (2004)

Reference 1

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Observation 01b57bb9-eb53-49d7-918e-03ee145d296d · outbound

This paper cites SIAM Journal on Imaging Sciences 2(1), 110–117 (2009).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review SIAM Journal on Imaging Sciences 2(1), 110–117 (2009)

Reference 2

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Observation 8a618276-d38e-49e9-8ad2-d4f19e167d47 · outbound

This paper cites In: Mathematical Software– ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9,.

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Mathematical Software– ICMS 2014: 4th International Congress, Seoul, South Korea, August 5-9,

Reference 3

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Observation 8d75f31f-fb4a-41ff-8b4a-d2533ddaf8b6 · outbound

This paper cites Journal of Machine Learning Research 18(8), 1–35 (2017).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Machine Learning Research 18(8), 1–35 (2017)

Reference 4

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Observation 087176ec-fae5-465e-bf34-508482ef2b04 · outbound

This paper cites Persistent equivariant cohomology.

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Persistent equivariant cohomology

Reference 5

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Observation 04ba5b69-5177-4a27-a251-8fcfb23cc67b · outbound

This paper cites Homology, Homotopy and Applications 18(1), 381–402 (2016).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Homology, Homotopy and Applications 18(1), 381–402 (2016)

Reference 6

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Observation 36fc709b-c87c-4e00-af9a-cd80edf3875b · outbound

This paper cites Transactions of the American Mathematical Society 30(2), 275–306 (1928) CONTENTS 61.

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Transactions of the American Mathematical Society 30(2), 275–306 (1928) CONTENTS 61

Reference 7

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Observation e352e347-13e5-44fe-8e77-f9cc51b89f78 · outbound

This paper cites IEEE Transactions on Pattern Analysis and Machine Intelligence 45(12), 14069–14080 (2023).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review IEEE Transactions on Pattern Analysis and Machine Intelligence 45(12), 14069–14080 (2023)

Reference 8

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Observation 68caf526-8b88-4b45-ae6f-880e751dd6ef · outbound

This paper cites Journal of Applied and Computational Topology8(7), 1961–1980 (2024).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Applied and Computational Topology8(7), 1961–1980 (2024)

Reference 9

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Observation 1de50b68-cc02-4aee-8330-704055bb4d85 · outbound

This paper cites In: APS March Meeting Abstracts, vol.

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: APS March Meeting Abstracts, vol

Reference 10

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Observation 8b2b61bb-c1f6-4d93-878d-788d659ae0ee · outbound

This paper cites SIAM, (2018).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review SIAM, (2018)

Reference 11

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Observation 72f3ce62-1681-46b1-be0f-99bbd694d475 · outbound

This paper cites Acta numerica 15, 1–155 (2006).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Acta numerica 15, 1–155 (2006)

Reference 12

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Observation ef58acca-a934-4619-af8e-a2e5e0bc86c3 · outbound

This paper cites Proceedings of the National Academy of Sciences 102(26), 9165–9169 (2005).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Proceedings of the National Academy of Sciences 102(26), 9165–9169 (2005)

Reference 13

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Observation a9c4f9c2-4ca0-4a85-ba3c-d71d674a741d · outbound

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Mathematics 10(21), 4039 (2022)

Reference 14

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This paper cites Journal of Intelligent Information Systems 52, 637–655 (2019).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Intelligent Information Systems 52, 637–655 (2019)

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Observation 6ba593c1-e0e3-4b66-a874-02d8ed9c9bfd · outbound

This paper cites Physical Review E 106(3), 034319 (2022).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Physical Review E 106(3), 034319 (2022)

Reference 16

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Observation f8b2a721-6eb1-4364-af18-28c7a38d21d8 · outbound

This paper cites In: Pro- ceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops, pp.

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Pro- ceedings of the IEEE Conference on Computer Vision and Pattern Recognition Workshops, pp

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Observation 986087f6-824f-42c1-838d-8668219b918c · outbound

This paper cites Journal of Theoretical Biology 529, 110854 (2021).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Theoretical Biology 529, 110854 (2021)

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Observation 091d6f47-2bb5-428c-b6a8-37f49723853b · outbound

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Polymers 14(15), 3014 (2022)

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This paper cites Proceedings of the Royal Society A 478(2267), 20220302 (2022).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Proceedings of the Royal Society A 478(2267), 20220302 (2022)

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This paper cites Frontiers in Artificial Intel- ligence 4, 681174 (2021).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Frontiers in Artificial Intel- ligence 4, 681174 (2021)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Applied and Computational Topology 5(3), 391–423 (2021)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Software available at https://github

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This paper cites Journal of symbolic computation 78, 76– 90 (2017).

Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of symbolic computation 78, 76– 90 (2017)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Physical review letters 98(14), 146401 (2007)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review IEEE Transactions on visualization and computer graphics 19(8), 1386–1404 (2012)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review On the Cayley-persistence algebra

Reference 27

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Physics: Complexity 2(3), 035022 (2021)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Theoretical computer science 392(1-3), 5–22 (2008)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Proceedings of the 38th International Conference on Machine Learning, pp

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Representations of Algebras and Related Structures, pp

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Leibniz International Proceedings in Informatics, vol

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Asian Journal of Mathematics 23(3), 479–500 (2019)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Machine Learning Research 16(1), 77–102 (2015)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Symbolic Computation 78, 91–114 (2017)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review New Journal of Physics 25(9), 093013 (2023)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review PLoS computational biology 13(7), 1005690 (2017)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review International journal for numerical methods in biomedical engineering 34(2), 2914 (2018)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review SIAM journal on mathematics of data science 2(2), 396–418 (2020)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review PLoS computational biology 14(1), 1005929 (2018)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of applied and computational topology 4(4), 481–507 (2020)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Computational and Mathematical Biophysics 3(1) (2015)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review The American Mathematical Monthly 109(5), 409–442 (2002) 64 CONTENTS

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Bulletin of the American Mathematical Society 46(2), 255–308 (2009)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Foundations of computa- tional mathematics 10, 367–405 (2010)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Proceedings of the Twenty-third Annual Symposium on Computational Geometry, pp

Reference 46

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Proceedings of the Twenty-fifth Annual Symposium on Computational Geometry, pp

Reference 47

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp

Reference 48

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review International journal of computer vision 76, 1–12 (2008)

Reference 49

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Algebraic & Geometric Topology19(2), 657–700 (2019)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: GUDHI User and Reference Manual, (2025)

Reference 51

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Advances in Neural Information Processing Systems 33, 22432–22444 (2020)

Reference 52

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: International Conference on Machine Learning, pp

Reference 53

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Proceedings of the National Academy of Sciences 110(46), 18566–18571 (2013)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review In: Proceedings of the Thirtieth Annual Symposium on Computational Geometry, pp

Reference 55

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Journal of Machine Learning Research 18(159), 1–40 (2018)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Nature Machine Intelligence 6(7), 799–810 (2024)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review The journal of physical chemistry letters 14(4), 954–964 (2023)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Foundations of Data Science 5(4), 558–588 (2023)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review IEEE Transactions on Visualization and Computer Graphics 14(4), 848–862 (2008)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review A Cosheaf Theory of Reciprocal Figures: Planar and Higher Genus Graphic Statics

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Cahiers de Topologie et G´ eom´ etrie Diff´ erentielle Cat´ egoriques31(3), 229–243 (1990)

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Topological Data Analysis and Topological Deep Learning Beyond Persistent Homology -- A Review Izvestia Akademii Nauk SSSR 7, 793– 800 (1934)

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