Paper Citation Record · LEDGER

Filtered Topology and Persistence in Stable Homotopy

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.02772.

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

pith.paper-citation-record.v1
2505.02772 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:54:47.300474Z

measured 31 of 31 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

31 of 31 outbound references displayed

verified exact2
verified fuzzy26
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72eb28aa-cb74-4740-bd43-81725e495c3f · outbound

This paper cites Arkowitz, Introduction to Homotopy Theory Springer New York, NY, (2011).

Filtered Topology and Persistence in Stable Homotopy Arkowitz, Introduction to Homotopy Theory Springer New York, NY, (2011)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.861389Z

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 023a53d1-f383-4505-8910-3ea046a09dd5 · outbound

This paper cites Triangulation, Persistence, and Fukaya categories.

Filtered Topology and Persistence in Stable Homotopy Triangulation, Persistence, and Fukaya categories

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:54:47.403387Z

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 0117733d-ff8c-4b4a-9d64-3dba84f97612 · outbound

This paper cites Persistence K-theory.

Filtered Topology and Persistence in Stable Homotopy Persistence K-theory

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:54:47.379210Z

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 e88824ef-d6cb-4875-990a-4e386ea26a78 · outbound

This paper cites Bondal, M.

Filtered Topology and Persistence in Stable Homotopy Bondal, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.845326Z

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 7a242818-4f6d-4826-98ba-254c3dfdbfa1 · outbound

This paper cites Bubenik, N.

Filtered Topology and Persistence in Stable Homotopy Bubenik, N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.829146Z

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 d220e38d-cf67-4c51-95e1-46e247150c16 · outbound

This paper cites Borceux, Handbook of Categorical Algebra: Basic category theory.

Filtered Topology and Persistence in Stable Homotopy Borceux, Handbook of Categorical Algebra: Basic category theory

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.813157Z

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 5fccd515-0757-4f8f-9a47-e4b0c1d0054c · outbound

This paper cites Bubenik, J.

Filtered Topology and Persistence in Stable Homotopy Bubenik, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.797161Z

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 2263a682-270e-4837-afab-ab2c6b13d5cb · outbound

This paper cites Carlsson, Topology and data.

Filtered Topology and Persistence in Stable Homotopy Carlsson, Topology and data

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.780300Z

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 5ae666fd-9a4d-464b-97d5-f72c8850931e · outbound

This paper cites Dell’Ambrogio, The Spanier-Whitehead category is always triangulated Master’s thesis, ETH Zurich, (2003).

Filtered Topology and Persistence in Stable Homotopy Dell’Ambrogio, The Spanier-Whitehead category is always triangulated Master’s thesis, ETH Zurich, (2003)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.764549Z

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 68294767-1396-4888-8767-cd3fa8d5f7c9 · outbound

This paper cites Dieck, Algebraic Topology.

Filtered Topology and Persistence in Stable Homotopy Dieck, Algebraic Topology

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.748728Z

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 baffa14d-d8a9-4cbd-8435-642229549a41 · outbound

This paper cites Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems.

Filtered Topology and Persistence in Stable Homotopy Euler Characteristic Curves and Profiles: a stable shape invariant for big data problems

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T00:54:47.202042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0639811c-35df-4615-bad7-d9c92780eb50 · outbound

This paper cites an unresolved cited work.

Filtered Topology and Persistence in Stable Homotopy Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:54:47.733055Z

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 7086a7bd-cfbc-487b-84c9-4cc47ed34167 · outbound

This paper cites Edelsbrunner, D.

Filtered Topology and Persistence in Stable Homotopy Edelsbrunner, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.715082Z

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 a9fab91b-f89e-4852-a5e6-ec00437845af · outbound

This paper cites Elmendorf, I.

Filtered Topology and Persistence in Stable Homotopy Elmendorf, I

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.698092Z

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 b6e43620-9ad1-4ff5-934d-b7c8722d8bad · outbound

This paper cites Gabriel, M.

Filtered Topology and Persistence in Stable Homotopy Gabriel, M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.681687Z

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 8a1ebffa-f756-4d28-b2a2-853c2a4fde8d · outbound

This paper cites Heller, Stable homotopy categories Bull.

Filtered Topology and Persistence in Stable Homotopy Heller, Stable homotopy categories Bull

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.664796Z

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 cdd61828-ac4f-4a1a-85ea-f93e8c35d668 · outbound

This paper cites Hacquard, V.

Filtered Topology and Persistence in Stable Homotopy Hacquard, V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.646955Z

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 e0e5539a-cd05-4000-9734-b86fa9512259 · outbound

This paper cites Kelly, Basic concepts of enriched category theory.

Filtered Topology and Persistence in Stable Homotopy Kelly, Basic concepts of enriched category theory

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.625064Z

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 8d9b67b9-511c-42dc-9e4f-11fbf167f547 · outbound

This paper cites Lurie, Higher Topos Theory.

Filtered Topology and Persistence in Stable Homotopy Lurie, Higher Topos Theory

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.604415Z

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 f0220830-e95c-486a-b54d-919b2179dcaf · outbound

This paper cites May, A Concise Course in Algebraic Topology.

Filtered Topology and Persistence in Stable Homotopy May, A Concise Course in Algebraic Topology

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.588812Z

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 9f592beb-ba31-4b24-a3fb-4869ea4abf71 · outbound

This paper cites May, The additivity of traces in triangulated categories Advances in Mathematics 163, (2001), 34–73.

Filtered Topology and Persistence in Stable Homotopy May, The additivity of traces in triangulated categories Advances in Mathematics 163, (2001), 34–73

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.572914Z

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 e015b64b-9c2c-4425-a4f4-22cc72a1de3b · outbound

This paper cites Moggach, A Homotopical Categorification of the Euler Calculus PhD Thesis (2020).

Filtered Topology and Persistence in Stable Homotopy Moggach, A Homotopical Categorification of the Euler Calculus PhD Thesis (2020)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.556998Z

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 339d2ffa-dee2-4de3-9520-213f1f4f8995 · outbound

This paper cites Neeman, Triangulated categories.

Filtered Topology and Persistence in Stable Homotopy Neeman, Triangulated categories

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.541915Z

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 d3ea8692-7b53-4478-ab0c-15a41b64755f · outbound

This paper cites Polterovich, D.

Filtered Topology and Persistence in Stable Homotopy Polterovich, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.525520Z

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 1aa86721-a58b-4433-9680-47386a7acae8 · outbound

This paper cites Polterovich, E.

Filtered Topology and Persistence in Stable Homotopy Polterovich, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.508349Z

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 0d1e4f11-9396-41d6-98c0-de1d511ad195 · outbound

This paper cites Schwede, Stable homotopical algebra and -Spaces Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 2, (1999), 329 - 356.

Filtered Topology and Persistence in Stable Homotopy Schwede, Stable homotopical algebra and -Spaces Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 2, (1999), 329 - 356

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.491534Z

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 bf73600e-02d4-4ee1-a57f-3b4b234fc330 · outbound

This paper cites Spanier, G.

Filtered Topology and Persistence in Stable Homotopy Spanier, G

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.473679Z

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 e7ad4f6f-2764-4dc3-a9d8-547566ac5cb0 · outbound

This paper cites Theorie homotopique des DG-categories.

Filtered Topology and Persistence in Stable Homotopy Theorie homotopique des DG-categories

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-16T00:54:47.286221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acd37409-709c-4593-9c34-cea38ffb67cc · outbound

This paper cites Verdier, Des catégories dérivées des catégories abéliennes.

Filtered Topology and Persistence in Stable Homotopy Verdier, Des catégories dérivées des catégories abéliennes

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.456635Z

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 76ab97ee-e34c-448a-aa90-01a8e5b89b57 · outbound

This paper cites Weibel, An Introduction to Homological Algebra.

Filtered Topology and Persistence in Stable Homotopy Weibel, An Introduction to Homological Algebra

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.439740Z

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 729f63d6-e76d-4da8-8af5-81579276f672 · outbound

This paper cites Zomorodian, G.

Filtered Topology and Persistence in Stable Homotopy Zomorodian, G

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:54:47.421487Z

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.

Pith citing papers

No inbound Pith citation observations are available.