Paper Citation Record · LEDGER

Algebraic interleavings of spaces over the classifying space of the circle

As of 20 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2501.09257.

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

pith.paper-citation-record.v1
2501.09257 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:19:11.289620Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:24:06.140045Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T00:41:05.300234Z

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy32
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2d987f8e-b093-4277-b609-4ad2bb972213 · outbound

This paper cites Amann and L.

Algebraic interleavings of spaces over the classifying space of the circle Amann and L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.941838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 52d0b8d7-4716-43d3-861e-fba563637bab · outbound

This paper cites A stability theorem for bigraded persistence barcodes.

Algebraic interleavings of spaces over the classifying space of the circle A stability theorem for bigraded persistence barcodes

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:19:11.396310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7a220d4a-746e-46ef-8676-d9ae3381fbfe · outbound

This paper cites Barthel, J.P.

Algebraic interleavings of spaces over the classifying space of the circle Barthel, J.P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.923059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b60630b1-adca-40af-8d51-31deab921cf2 · outbound

This paper cites Bauer and M.

Algebraic interleavings of spaces over the classifying space of the circle Bauer and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.905738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4029f802-ab5a-4991-9c19-de9fa4567d37 · outbound

This paper cites Berstein and T.

Algebraic interleavings of spaces over the classifying space of the circle Berstein and T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.890412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 014e639c-8084-44d6-bd57-1478ccb7426e · outbound

This paper cites Blumberg and M.

Algebraic interleavings of spaces over the classifying space of the circle Blumberg and M

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T20:19:11.120239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb13d8e8-0951-4a64-9cbb-835e1cce82ce · outbound

This paper cites Botnan and W.

Algebraic interleavings of spaces over the classifying space of the circle Botnan and W

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.872514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2d1debd6-95d9-4df2-a880-29e7b9d7dcdb · outbound

This paper cites Bubenik and J.A.

Algebraic interleavings of spaces over the classifying space of the circle Bubenik and J.A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.856892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c5fa5b85-cadc-40ba-a648-7803da4f3adf · outbound

This paper cites Bubenik, V.

Algebraic interleavings of spaces over the classifying space of the circle Bubenik, V

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.843286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7d82f266-1147-42d8-8eaa-9e41d09127b3 · outbound

This paper cites Chazal, D.

Algebraic interleavings of spaces over the classifying space of the circle Chazal, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.826595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 41854e8c-3c9b-4818-9181-322702177e74 · outbound

This paper cites Chazal, V.

Algebraic interleavings of spaces over the classifying space of the circle Chazal, V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.811937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 64557e6f-039c-4885-abda-d8bdc46421dc · outbound

This paper cites Cohen-Steiner, H.

Algebraic interleavings of spaces over the classifying space of the circle Cohen-Steiner, H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.796888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 635a8cc6-e0fc-470b-b93e-ad7117762eab · outbound

This paper cites Chach´ olski, B.

Algebraic interleavings of spaces over the classifying space of the circle Chach´ olski, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.778367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0430f4c7-d45f-4dc8-a87c-0d1d44b7d033 · outbound

This paper cites an unresolved cited work.

Algebraic interleavings of spaces over the classifying space of the circle Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T20:19:11.761138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 03988bc6-3240-4f30-8836-8c711610e003 · outbound

This paper cites Crawley-Boevey, Decomposition of pointwise ﬁnite- dimensional persistence modules, Journal of Algebra and Its Applications, 14 (05):1550066, 2015.

Algebraic interleavings of spaces over the classifying space of the circle Crawley-Boevey, Decomposition of pointwise ﬁnite- dimensional persistence modules, Journal of Algebra and Its Applications, 14 (05):1550066, 2015

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.746213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f0b0f46f-7520-4727-a684-e700c2bac4df · outbound

This paper cites Eilenberg and J.C.

Algebraic interleavings of spaces over the classifying space of the circle Eilenberg and J.C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.728109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 241d44b1-58d2-4a45-9d6b-a4633d5f6c1f · outbound

This paper cites F´ elix, S.

Algebraic interleavings of spaces over the classifying space of the circle F´ elix, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.711052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6181b529-c8ab-4090-94b0-7c01dae1b920 · outbound

This paper cites F´ elix, S.

Algebraic interleavings of spaces over the classifying space of the circle F´ elix, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.691771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 55402f07-7f3c-4b61-8896-78e57cf181b4 · outbound

This paper cites F´ elix, J.

Algebraic interleavings of spaces over the classifying space of the circle F´ elix, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.676013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ac478ab7-5f45-466a-a888-751d45d2b553 · outbound

This paper cites F´ elix and J.-C.

Algebraic interleavings of spaces over the classifying space of the circle F´ elix and J.-C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.658571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d805c4ea-9baa-4548-a62f-68e2a4ee85b4 · outbound

This paper cites Halperin, Rational homotopy and torus actions , London Math.

Algebraic interleavings of spaces over the classifying space of the circle Halperin, Rational homotopy and torus actions , London Math

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.643701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 609ff2b9-008c-410a-b89a-3c358204451d · outbound

This paper cites Cell decompositions of persistent minimal models.

Algebraic interleavings of spaces over the classifying space of the circle Cell decompositions of persistent minimal models

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T20:19:11.212292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65787cb5-b9d6-4e6b-9b62-eb84cf86c8c9 · outbound

This paper cites Hilton and U.

Algebraic interleavings of spaces over the classifying space of the circle Hilton and U

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.628605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2313b3b-fc3a-4bbf-919a-9f3e481953b0 · outbound

This paper cites Hirschhorn, Model Categories and Their Localizatio ns, AMS Math.

Algebraic interleavings of spaces over the classifying space of the circle Hirschhorn, Model Categories and Their Localizatio ns, AMS Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.613777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6713a6f5-a9d4-4d35-9a2f-40d5ab773e0f · outbound

This paper cites Hungerford, Algebra, Graduate Texts in Mathemati cs, 73, Springer-Verlag, 1997.

Algebraic interleavings of spaces over the classifying space of the circle Hungerford, Algebra, Graduate Texts in Mathemati cs, 73, Springer-Verlag, 1997

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.598073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 065d940b-ee78-420c-8e14-7a5f0ee00df9 · outbound

This paper cites Keller, Deriving DG categories, Ann.

Algebraic interleavings of spaces over the classifying space of the circle Keller, Deriving DG categories, Ann

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.583668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 109ebce5-cc95-42e2-b3de-29f7bb61b064 · outbound

This paper cites Krause, Homological Theory of Representations, Cam bridge Studies in Advanced Mathe- matics, 195, Cambridge University Press, Cambridge, 2022.

Algebraic interleavings of spaces over the classifying space of the circle Krause, Homological Theory of Representations, Cam bridge Studies in Advanced Mathe- matics, 195, Cambridge University Press, Cambridge, 2022

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.566231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dc7a7519-7978-4980-af98-4c9ea0d91669 · outbound

This paper cites Kriz and J.

Algebraic interleavings of spaces over the classifying space of the circle Kriz and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.550285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3793d2b6-2894-4b2c-b8e9-fa23da2ac560 · outbound

This paper cites Kuribayashi, On multiplicative spectral sequences for nerves and the free loop spaces, Topology and its Applications 352, Article ID 108958, 26 p.

Algebraic interleavings of spaces over the classifying space of the circle Kuribayashi, On multiplicative spectral sequences for nerves and the free loop spaces, Topology and its Applications 352, Article ID 108958, 26 p

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.533315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c44bf13-51bf-4a4b-ab11-5fc615b535e1 · outbound

This paper cites Kuribayashi, T.

Algebraic interleavings of spaces over the classifying space of the circle Kuribayashi, T

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.517649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a384b9ab-17c8-4df6-831c-8e485862cd49 · outbound

This paper cites Lanari and L.

Algebraic interleavings of spaces over the classifying space of the circle Lanari and L

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.502483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6912adcc-8fa5-482a-b865-f4b5b8be8919 · outbound

This paper cites Lesnick, The theory of interleaving distance on maul tidimensional persistence modules, Found Comput Math 15 (2015), 613–650.

Algebraic interleavings of spaces over the classifying space of the circle Lesnick, The theory of interleaving distance on maul tidimensional persistence modules, Found Comput Math 15 (2015), 613–650

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.486282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 907ac7d6-9b97-45ce-aaa2-14d8f8ab5002 · outbound

This paper cites Mimura and H.

Algebraic interleavings of spaces over the classifying space of the circle Mimura and H

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.470139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 39b24981-008f-45b5-80d3-a2034d651bad · outbound

This paper cites Vigu´ e-Poirrier and D.

Algebraic interleavings of spaces over the classifying space of the circle Vigu´ e-Poirrier and D

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.453977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f067d09d-0ea5-4f41-a6a7-10b22293f437 · outbound

This paper cites W ebb, Decomposition of graded modules, Proceedings of the American Mathematical Society 94 (1985), 565–571.

Algebraic interleavings of spaces over the classifying space of the circle W ebb, Decomposition of graded modules, Proceedings of the American Mathematical Society 94 (1985), 565–571

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.435789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e3f6ceda-1f56-4477-bb63-d795016cb290 · outbound

This paper cites Persistent Sullivan Minimal Models of Metric Spaces.

Algebraic interleavings of spaces over the classifying space of the circle Persistent Sullivan Minimal Models of Metric Spaces

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T20:19:11.283287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcab964d-2ebc-4cce-a3dd-5f7c534b1fef · outbound

This paper cites Zomorodian and G.

Algebraic interleavings of spaces over the classifying space of the circle Zomorodian and G

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T20:19:11.418627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 1c67bf6d-07ef-49cc-bc15-96e7982741ed · inbound

A distance between maps via interleavings of relative Sullivan algebras cites this paper.

A distance between maps via interleavings of relative Sullivan algebras Algebraic interleavings of spaces over the classifying space of the circle

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:41:05.312819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.