Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:17.379067Z
Paper Citation Record · LEDGER
Persistent homology of function spaces
As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2505.16907.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact0
- verified fuzzy26
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation aeb2f639-ffa0-4fe8-ab47-4102fef7bdb4 · outbound
This paper cites Alexander, V.
Persistent homology of function spaces Alexander, V
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:23.898756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b925292c-0a00-4e80-9479-9e70d5f5b638 · outbound
This paper cites Berdnikov, L.
Persistent homology of function spaces Berdnikov, L
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:23.629726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 06ccd1e7-b734-4806-912f-d7cf95b5f625 · outbound
This paper cites Berdnikov and F.
Persistent homology of function spaces Berdnikov and F
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:23.465638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c7b60c69-0821-450e-86ff-d9bd86715f9a · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:23.253532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a764d737-85d7-43b1-8029-828a02207c00 · outbound
This paper cites Brady, T.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:23.093990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6c51a8cb-38f0-4c58-93dd-89c0069de266 · outbound
This paper cites Crawley-Boevey, Decomposition of pointwise finite-dimensional persistence modules, J.
Persistent homology of function spaces Crawley-Boevey, Decomposition of pointwise finite-dimensional persistence modules, J
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:22.929406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 7f9f4cab-e0da-4ecd-9976-f1c53ca33f97 · outbound
This paper cites Chazal, W.
Persistent homology of function spaces Chazal, W
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:22.760675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6d45d9e6-fae9-4c89-b5d1-80dd6fbef327 · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:22.542044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 82a5328a-69bf-4dde-b4e3-728077eb9d06 · outbound
This paper cites Chazal, V.
Persistent homology of function spaces Chazal, V
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:22.342972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4ce031ac-6b25-4097-ace2-fcadb70f7599 · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:22.190774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 56f5de2c-9b98-43eb-a0a1-d6e16ec32988 · outbound
This paper cites Cohen-Steiner, H.
Persistent homology of function spaces Cohen-Steiner, H
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:21.994817Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 80452ee6-f92f-47e4-8080-0c3cd4611ae4 · outbound
This paper cites Deligne, Ph.
Persistent homology of function spaces Deligne, Ph
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:21.409125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 473fc867-2207-405f-bb39-737f7b2d5aeb · outbound
This paper cites Edelsbrunner, D.
Persistent homology of function spaces Edelsbrunner, D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:21.139333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d009d4dd-05ac-4bb7-ad42-0d43abb95ee9 · outbound
This paper cites F\' e lix, S.
Persistent homology of function spaces F\' e lix, S
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:20.889812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 40e8e37a-a274-41d4-b488-8d54bfbead9b · outbound
This paper cites Ferry and Sh.
Persistent homology of function spaces Ferry and Sh
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:20.600286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 91c0a819-2caf-4434-b253-6010e2f3b5eb · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:20.113532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a31a3389-cddd-46d7-895c-61decc483ba4 · outbound
This paper cites Gromov, Homotopical effects of dilatation, J.
Persistent homology of function spaces Gromov, Homotopical effects of dilatation, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:19.877123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5f7ac4f3-3c9f-491f-a2ed-4c4c02563213 · outbound
This paper cites 152, Birkh\" a user Boston, Inc., Boston, MA, 1999, with appendices by M.
Persistent homology of function spaces 152, Birkh\" a user Boston, Inc., Boston, MA, 1999, with appendices by M
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:19.673052Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8ee60a25-cf76-4d0c-8f77-5ca47b2e21b0 · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:19.469384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 39365322-8305-4ca1-af9a-cad3076638f1 · outbound
This paper cites Hansen, Volumes of nullhomotopies in nilpotent spaces, Ph.D.
Persistent homology of function spaces Hansen, Volumes of nullhomotopies in nilpotent spaces, Ph.D
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:19.284437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation cc8d4d7c-21d0-4a6d-9a1d-aa4556abca91 · outbound
This paper cites Manin, Plato's cave and differential forms, Geom.
Persistent homology of function spaces Manin, Plato's cave and differential forms, Geom
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:19.102293Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 81b0271e-47f5-4aa5-9db3-2c46a01e52c5 · outbound
This paper cites Milnor, Construction of universal bundles.
Persistent homology of function spaces Milnor, Construction of universal bundles
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:18.875786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 254daf19-458b-4a7b-ab05-3ef4fb824600 · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:18.703681Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 671b135c-9b1e-4560-b045-a40f594a3119 · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:04:16.882322Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22413e05-4c6f-4079-bba3-cc01eff0ed20 · outbound
This paper cites Mimura and H.
Persistent homology of function spaces Mimura and H
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:18.580795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bb2a2652-404f-4d60-b855-40903665efdf · outbound
This paper cites Manin and Sh.
Persistent homology of function spaces Manin and Sh
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:18.477153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 875d3576-af61-4c76-a55f-0165ee13309a · outbound
This paper cites Nabutovsky and R.
Persistent homology of function spaces Nabutovsky and R
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:18.333213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3a3fdad6-ce96-410e-a9e8-634341c06927 · outbound
This paper cites Polterovich, D.
Persistent homology of function spaces Polterovich, D
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:18.176432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 48408649-74e4-4cf6-91aa-3dbd30debf73 · outbound
This paper cites Quillen, Rational homotopy theory, Ann.
Persistent homology of function spaces Quillen, Rational homotopy theory, Ann
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:18.018350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0bee5bf4-5ce2-48fc-a099-3e8362412dd9 · outbound
This paper cites Riley, Asymptotic invariants of infinite discrete groups, Ph.D.
Persistent homology of function spaces Riley, Asymptotic invariants of infinite discrete groups, Ph.D
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:17.889878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 23bbede8-8440-480b-8e96-4cd031a9aacc · outbound
This paper cites Sullivan, Infinitesimal computations in topology, Inst.
Persistent homology of function spaces Sullivan, Infinitesimal computations in topology, Inst
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:17.806292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4124554d-81a3-4e4a-a18d-cdb358139662 · outbound
This paper cites Weinberger, Computers, rigidity, and moduli, M.
Persistent homology of function spaces Weinberger, Computers, rigidity, and moduli, M
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:17.737132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fc37038e-23d5-496f-a4b4-ff674857cd92 · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:17.627815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 97ee51c7-e833-4c2e-a231-b9f022d4577d · outbound
This paper cites an unresolved cited work.
Persistent homology of function spaces Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T15:04:17.525594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 99c05ca7-e3e1-4337-96fb-50b7fa29ed83 · outbound
This paper cites Whitney, Geometric integration theory, Princeton University Press, Princeton, NJ, 1957.
Persistent homology of function spaces Whitney, Geometric integration theory, Princeton University Press, Princeton, NJ, 1957
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:04:17.347219Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 144efce0-797d-4923-8c29-1dfea8bd063e · outbound
This paper cites Zomorodian and G.
Persistent homology of function spaces Zomorodian and G
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T15:04:17.461822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.