Paper Citation Record · LEDGER

Finite spectral triples for the fuzzy torus

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:1908.06796.

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

pith.paper-citation-record.v1
1908.06796 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:49:50.179534Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T01:37:19.106477Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T13:31:01.854657Z

Reference resolution

23 of 23 outbound references displayed

verified exact10
verified fuzzy7
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e89e021e-cf55-4921-b6d0-ceb5d098b471 · outbound

This paper cites Noncommutative geometry and reality,.

Finite spectral triples for the fuzzy torus Noncommutative geometry and reality,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-14T12:49:50.100244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a731e905-afee-4172-9921-5befbf426195 · outbound

This paper cites Noncommutative geometry,.

Finite spectral triples for the fuzzy torus Noncommutative geometry,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.437812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6de3bdb8-d3d3-4496-8cb9-a01ecfafbb01 · outbound

This paper cites Gravity coupled with matter and foundation of non-commutative geometry.

Finite spectral triples for the fuzzy torus Gravity coupled with matter and foundation of non-commutative geometry

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T12:49:50.107860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15930161-f89d-4b39-9aac-476fe421e248 · outbound

This paper cites Matrix geometries and fuzzy spaces as finite spectral triples.

Finite spectral triples for the fuzzy torus Matrix geometries and fuzzy spaces as finite spectral triples

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T12:49:50.111840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b623e87e-373c-4db5-88bd-e85143d87761 · outbound

This paper cites Dependence on the spin structure of the Dirac spectrum.

Finite spectral triples for the fuzzy torus Dependence on the spin structure of the Dirac spectrum

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.349483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71199ceb-afee-4661-8ca4-dac13407ec34 · outbound

This paper cites From Large N Matrices to the Noncommutative Torus.

Finite spectral triples for the fuzzy torus From Large N Matrices to the Noncommutative Torus

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.336646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ef93cbc5-65b6-4f2d-bee3-00047dad24a0 · outbound

This paper cites Generalized Fuzzy Torus and its Modular Properties.

Finite spectral triples for the fuzzy torus Generalized Fuzzy Torus and its Modular Properties

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.322179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d2cd325c-39f9-4bb5-9192-a0bb45d2ae93 · outbound

This paper cites Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model.

Finite spectral triples for the fuzzy torus Noncommutative Gauge Theories on Fuzzy Sphere and Fuzzy Torus from Matrix Model

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.309380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13f04a22-acde-49c6-ade9-39b4f4eb974d · outbound

This paper cites Classiﬁcation of C∗-algebras admitting ergodic actions of the two-dimensional torus.

Finite spectral triples for the fuzzy torus Classiﬁcation of C∗-algebras admitting ergodic actions of the two-dimensional torus

Reference 9

Resolution: verified exact; doi, observed 2026-08-14T12:49:50.249048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f88bec2c-f463-4b0d-83ad-0096353bc91b · outbound

This paper cites On Spin Structures and Dirac Operators on the Noncommutative Torus.

Finite spectral triples for the fuzzy torus On Spin Structures and Dirac Operators on the Noncommutative Torus

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.295639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b80f2368-58cf-4e38-b5fe-f3ead6cdd311 · outbound

This paper cites Classification of spin structures on the noncommutative n-torus.

Finite spectral triples for the fuzzy torus Classification of spin structures on the noncommutative n-torus

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.281710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 57342a16-a01e-4a35-a046-d31639320675 · outbound

This paper cites Spin geometry of the rational noncommutative torus.

Finite spectral triples for the fuzzy torus Spin geometry of the rational noncommutative torus

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T12:49:50.268072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation abff65a7-dd69-4c30-ab53-6732e7f5301e · outbound

This paper cites Non-commutative spectral triples for space-time.

Finite spectral triples for the fuzzy torus Non-commutative spectral triples for space-time

Reference 13

Resolution: verified exact; doi, observed 2026-08-14T12:49:50.236942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b573ca7a-fe6c-4973-9c05-e3e9dafdbb0e · outbound

This paper cites Aspects of the noncommutative torus.

Finite spectral triples for the fuzzy torus Aspects of the noncommutative torus

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.427931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 68a9635b-130d-4ec3-b062-f4ec2c1b9b5d · outbound

This paper cites The theory of groups and quantum mechanics,.

Finite spectral triples for the fuzzy torus The theory of groups and quantum mechanics,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.417634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 68df4d91-517b-49a2-81d1-40b2dbe05e02 · outbound

This paper cites Some remarks on symplectic automor- phisms,.

Finite spectral triples for the fuzzy torus Some remarks on symplectic automor- phisms,

Reference 16

Resolution: verified exact; doi, observed 2026-08-14T12:49:50.226485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 38371dfd-b69c-42d0-b658-4716632b064c · outbound

This paper cites Holonomy and path structures in general relativ- ity and Yang-Mills theory,.

Finite spectral triples for the fuzzy torus Holonomy and path structures in general relativ- ity and Yang-Mills theory,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T12:49:50.160040Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5bc9cd1-02f7-4c4e-96d8-7b7b106168a4 · outbound

This paper cites Algebraic topology,.

Finite spectral triples for the fuzzy torus Algebraic topology,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.407256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 85b12b16-0eb6-40b4-854b-8d3db4fcb9f2 · outbound

This paper cites The topology of 4-manifolds,.

Finite spectral triples for the fuzzy torus The topology of 4-manifolds,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.396739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8aa0d519-af52-46c8-8d9c-1cd206dfe36b · outbound

This paper cites Elements of Non- commutative Geometry,.

Finite spectral triples for the fuzzy torus Elements of Non- commutative Geometry,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T12:49:50.170349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aba7297e-d50c-4182-8dc6-b148eb2a667a · outbound

This paper cites Noncommutative tori: a case study of noncommutative dif- ferential manifolds,.

Finite spectral triples for the fuzzy torus Noncommutative tori: a case study of noncommutative dif- ferential manifolds,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.386818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c3c1a3b1-8a12-4533-80eb-992a94efe229 · outbound

This paper cites Spin Geometry,.

Finite spectral triples for the fuzzy torus Spin Geometry,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:50.376103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ebd8c3e8-f5cf-41e7-8aa4-e4a4d0fc65c8 · outbound

This paper cites Reduction of symplectic manifolds with sym- metry.

Finite spectral triples for the fuzzy torus Reduction of symplectic manifolds with sym- metry

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T12:49:50.179534Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 0a2b9f74-3ad2-4135-a9e9-a91800476180 · inbound

Fuzzy Geometries with an Internal Space cites this paper.

Fuzzy Geometries with an Internal Space Finite spectral triples for the fuzzy torus

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-11T13:31:01.865306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.