Paper Citation Record · LEDGER

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems

As of 8 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2505.24135.

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

pith.paper-citation-record.v1
2505.24135 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:51:32.165494Z

measured 22 of 22 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

22 of 22 outbound references displayed

verified exact0
verified fuzzy19
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5cc6463-1396-43ac-8d8c-d8c483502f0f · outbound

This paper cites K-theory for Operator Algebras.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems K-theory for Operator Algebras

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:36.226175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 92a09bc5-a233-4dd1-ab72-5654647b54f9 · outbound

This paper cites an unresolved cited work.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:51:36.036348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 80fc0036-a082-4961-823c-9d78370e8e76 · outbound

This paper cites Spectral triples for AF C∗-algebras and metrics on the Cantor set.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Spectral triples for AF C∗-algebras and metrics on the Cantor set

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:35.823498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b852c11a-3c08-4835-8e9c-8ec411103258 · outbound

This paper cites Non-commutative differential geometry.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Non-commutative differential geometry

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:35.517778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 35ea5bef-af38-48df-bdb9-7579e13688a1 · outbound

This paper cites Noncommutative Geometry.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Noncommutative Geometry

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:35.259375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 548792c0-4fa2-40b5-ac83-f84fcbc0ad16 · outbound

This paper cites Fredholm modules over graph C∗-algebras.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Fredholm modules over graph C∗-algebras

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:35.001987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aba4bf7e-3c5c-4217-beb5-efddfc858bcf · outbound

This paper cites K-homological finiteness and hyperbolic groups.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems K-homological finiteness and hyperbolic groups

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:34.699268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c708d00b-8a9d-4fce-ae72-ace4212dada9 · outbound

This paper cites Furstenberg.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Furstenberg

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:34.429639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2e55bf5e-de8d-41d3-9f56-49e4d3d2b8cc · outbound

This paper cites On finitely summable Fredholm modules from Smale spaces.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems On finitely summable Fredholm modules from Smale spaces

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:34.137240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cc073b9d-8b01-4e21-a83b-ce3b077131e1 · outbound

This paper cites Spectral triples and finite summability on Cuntz-Krieger algebras.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Spectral triples and finite summability on Cuntz-Krieger algebras

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.985978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9cfc79cd-64c2-43d0-bc9e-642f76a681dc · outbound

This paper cites K-homology of certain group C∗-algebras.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems K-homology of certain group C∗-algebras

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.847736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cc365f04-644f-4488-9509-bae2e554be5e · outbound

This paper cites On spectral triples on crossed products arising from equicontinuous actions.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems On spectral triples on crossed products arising from equicontinuous actions

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.735753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5fd0cd3b-b1e4-48e3-b65f-94a868d625fb · outbound

This paper cites Putnam, and Christian F.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Putnam, and Christian F

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.625101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 25ee43df-c1b5-4325-a377-aecb267e9060 · outbound

This paper cites Analytic K-homology.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Analytic K-homology

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.501285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation afc1bfde-bfba-494c-b5e6-bb5c12d819d4 · outbound

This paper cites an unresolved cited work.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:51:33.357337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3c2d7580-f06f-4e21-842e-31dcd3fa9e69 · outbound

This paper cites Wilson Peoples.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Wilson Peoples

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.199320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d9dd64e8-91d1-4e23-8c19-868e53e511ef · outbound

This paper cites Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets.Journal of Noncommutative Geometry , 3(3):447–480, 2009.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Noncommutative Riemannian geometry and diffusion on ultrametric Cantor sets.Journal of Noncommutative Geometry , 3(3):447–480, 2009

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:33.083389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c6973e43-c4e4-4cf0-b4d5-3278c122745a · outbound

This paper cites Finitely summable Fredholm modules over higher rank groups and lattices.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Finitely summable Fredholm modules over higher rank groups and lattices

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:32.999760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 916ba395-e649-4374-a8cf-3f266b4c94f3 · outbound

This paper cites C∗-algebras associated to minimal homeomorphisms on the Cantor set.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems C∗-algebras associated to minimal homeomorphisms on the Cantor set

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:32.838612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3c299a2c-b824-488a-b635-82d3691261bc · outbound

This paper cites an unresolved cited work.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:51:32.673243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cea8441d-8f50-40e9-bad2-e7eaca29bee8 · outbound

This paper cites On Finitely Summable K-homology.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems On Finitely Summable K-homology

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:32.516069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fcb74737-29d8-45a9-b9a9-b2c9eae41263 · outbound

This paper cites The K¨ unneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor.

Finitely Summable $K$-homology, the Index Pairing, and Cantor Minimal Systems The K¨ unneth theorem and the universal coefficient theorem for Kasparov’s generalized K-functor

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:51:32.342821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.