Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-03T02:22:28.210389Z
Paper Citation Record · LEDGER
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale
As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.01681.
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 2026-08-13T06:32:02.005865+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
42 of 42 outbound references displayed
- verified exact22
- verified fuzzy16
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c7c76168-c17b-4eb2-83b5-5864df3e5b88 · outbound
This paper cites Bunce-Deddens algebras as quantum Gromov-Hausorff distance limits of circle algebras.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Bunce-Deddens algebras as quantum Gromov-Hausorff distance limits of circle algebras
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.227237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a05b23d7-6cc7-4583-a2e5-7a859c3a1db7 · outbound
This paper cites Barrett,Matrix geometries and fuzzy spaces as finite spectral triples, J.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Barrett,Matrix geometries and fuzzy spaces as finite spectral triples, J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.691559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5aa180f0-e7fa-4f5a-93b0-5aa1dca720da · outbound
This paper cites Bratteli and D.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Bratteli and D
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.723755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6f583647-8962-4540-bb32-07f525d7315f · outbound
This paper cites Connes,C*–algèbres et géométrie differentielle, C.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Connes,C*–algèbres et géométrie differentielle, C
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.733256Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4df8cebc-b1dc-4588-9d9d-6396de054cfb · outbound
This paper cites Connes,Compact metric spaces, Fredholm modules and hyperfiniteness, Ergodic Theory Dynam.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Connes,Compact metric spaces, Fredholm modules and hyperfiniteness, Ergodic Theory Dynam
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.728839Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0b28ca39-e153-4830-9bb2-5cd6f5e4b496 · outbound
This paper cites an unresolved cited work.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T15:51:15.742253Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6f68419f-37b4-46d8-89c2-8f4ecd0047ee · outbound
This paper cites Connes and H.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Connes and H
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.716924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1ba0a0c7-2341-43bb-911f-0633d688a963 · outbound
This paper cites Spectral Triples for Noncommutative Solenoids and a Wiener's lemma.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Spectral Triples for Noncommutative Solenoids and a Wiener's lemma
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.235784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 313afe3d-9e7e-4552-8c34-693d0de61c97 · outbound
This paper cites Convergence of inductive sequences of spectral triples for the spectral propinquity.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Convergence of inductive sequences of spectral triples for the spectral propinquity
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.288182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c7685ca1-8f5f-4323-8f81-8e8d7552f677 · outbound
This paper cites an unresolved cited work.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Unresolved cited work
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.256869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f6cb3f08-d318-49c8-bf04-735ffb481710 · outbound
This paper cites Feedback-Induced Flutter Instability of a Flexible Beam in Fluid Flow.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Feedback-Induced Flutter Instability of a Flexible Beam in Fluid Flow
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.251597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 011d4131-a976-41e9-bc22-c13ca8334665 · outbound
This paper cites Gromov,Metric structures for Riemannian and non-Riemannian spaces, Progress in Mathematics, Birkhäuser, 1999.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Gromov,Metric structures for Riemannian and non-Riemannian spaces, Progress in Mathematics, Birkhäuser, 1999
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.697247Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f012ca4b-b292-4b0f-9a8a-088d7e0cf6f1 · outbound
This paper cites Hausdorff,Grundzüge der Mengenlehre, Verlag Von Veit und Comp., 1914.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Hausdorff,Grundzüge der Mengenlehre, Verlag Von Veit und Comp., 1914
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.726453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d196e262-f57f-4033-93c7-93279b98126c · outbound
This paper cites Kaad and D.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Kaad and D
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.699430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 949618cb-cb41-414c-a763-43e8d8a05a60 · outbound
This paper cites A twisted spectral triple for quantum SU(2).
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale A twisted spectral triple for quantum SU(2)
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T02:27:34.272072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation db716716-056c-4716-8764-522bbe73147e · outbound
This paper cites Kato,Perturbation theory for linear operators, Springer, 1995.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Kato,Perturbation theory for linear operators, Springer, 1995
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.714487Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3c0a6436-b0f3-444b-b7f2-7f1b54af1b66 · outbound
This paper cites Kerr,Matricial quantum Gromov-Hausdorff distance, J.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Kerr,Matricial quantum Gromov-Hausdorff distance, J
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.279802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5cf5a0b0-3e0b-4367-8c66-7780e9fdd3fd · outbound
This paper cites Kerr and H.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Kerr and H
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.721391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2fa49831-8585-4e97-a39c-6d75b973e401 · outbound
This paper cites Kimura,Noncommutative gauge theories on fuzzy sphere and fuzzy torus from matrix model, Nuclear Phys.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Kimura,Noncommutative gauge theories on fuzzy sphere and fuzzy torus from matrix model, Nuclear Phys
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.694574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fb3c1b81-392b-4866-a3af-67609bbc0b0d · outbound
This paper cites Landry, M.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Landry, M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.737549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6d995a1a-7a0a-4d22-a8b5-bac18b5d239f · outbound
This paper cites Continuity of the Spectrum of Dirac Operators of Spectral Triples for the Spectral Propinquity.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Continuity of the Spectrum of Dirac Operators of Spectral Triples for the Spectral Propinquity
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.282802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 11c708d9-233e-4eb1-a490-1f3a0d5d8247 · outbound
This paper cites Latrémolière,Approximation of the quantum tori by finite quantum tori for the quantum Gromov- Hausdorff distance, J.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Latrémolière,Approximation of the quantum tori by finite quantum tori for the quantum Gromov- Hausdorff distance, J
Reference 22
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.238697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 339f8660-2d1f-4aaa-974e-c643728079f4 · outbound
This paper cites Convergence of Fuzzy Tori and Quantum Tori for the quantum Gromov-Hausdorff Propinquity: an explicit approach.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Convergence of Fuzzy Tori and Quantum Tori for the quantum Gromov-Hausdorff Propinquity: an explicit approach
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T02:27:34.244673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7f61f85d-eec0-43ce-b50c-399e44eda2eb · outbound
This paper cites The Dual Gromov-Hausdorff Propinquity.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale The Dual Gromov-Hausdorff Propinquity
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T02:27:34.232889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f21bd627-eb34-4a61-92a5-e289e3954e37 · outbound
This paper cites an unresolved cited work.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T15:51:15.688007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b813b639-452e-4cca-8e19-09ff0c0fc0d9 · outbound
This paper cites A Compactness Theorem for The Dual Gromov-Hausdorff Propinquity.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale A Compactness Theorem for The Dual Gromov-Hausdorff Propinquity
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T02:27:34.261800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7a2e9207-9152-417f-8fc1-2902d5cdafdd · outbound
This paper cites Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Substitution principle for CLT of linear spectral statistics of high-dimensional sample covariance matrices with applications to hypothesis testing
Reference 27
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- verified exact
- local_arxiv, observed 2026-07-03T02:27:34.254217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4c7d08be-3f32-46ad-b8ff-869472449a93 · outbound
This paper cites Convergence of Spectral Triples on Fuzzy Tori to Spectral Triples on Quantum Tori.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Convergence of Spectral Triples on Fuzzy Tori to Spectral Triples on Quantum Tori
Reference 28
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.241639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9395b1f1-fad8-46d1-bebb-ce34d7adf4c4 · outbound
This paper cites an unresolved cited work.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-07-05T15:51:15.703570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ee53049a-0460-4276-989f-b5aedba87c06 · outbound
This paper cites Math.404(2022), Paper No.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Math.404(2022), Paper No
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.705641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b1613da7-4c12-4ee9-8531-ff9e7742989c · outbound
This paper cites Noncommutative Solenoids and the Gromov-Hausdorff Propinquity.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Noncommutative Solenoids and the Gromov-Hausdorff Propinquity
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-07-03T02:27:34.266917Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3e0e6382-f6e8-4636-9045-36f001b940ec · outbound
This paper cites Noncommutative Solenoids.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Noncommutative Solenoids
Reference 32
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-07-03T02:27:34.259403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 27142956-65c0-483d-a2b1-f8699cb15ebc · outbound
This paper cites Marcolli M.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Marcolli M
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.701488Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 33adf3bf-b566-4fd1-a215-322951de70c5 · outbound
This paper cites Gromov--Hausdorff Convergence of Spectral Truncations for Tori.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Gromov--Hausdorff Convergence of Spectral Truncations for Tori
Reference 34
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.264480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f121dcea-66fe-4d18-81be-7bb9e27a49b1 · outbound
This paper cites an unresolved cited work.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Unresolved cited work
Reference 35
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.274470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3dbbf8e2-e13d-407e-91c9-7f281a6305ee · outbound
This paper cites Math.4(1999), 559–600, math.OA/9906151.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Math.4(1999), 559–600, math.OA/9906151
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.285786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eebd0993-5f15-4d67-a56d-afc01835adbf · outbound
This paper cites an unresolved cited work.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Unresolved cited work
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.248576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 21474e71-de93-4f7a-8b6d-4e32cdd1ce92 · outbound
This paper cites Schreivogl and H.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Schreivogl and H
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.735309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2599a1e5-8ed4-4ecc-93aa-a3dc5ec164a7 · outbound
This paper cites A generalization of K-theory to operator systems.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale A generalization of K-theory to operator systems
Reference 39
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.277051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 27ac6e47-7e1b-47e2-84bd-a4adc7a5d1be · outbound
This paper cites Higher K-groups for operator systems.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Higher K-groups for operator systems
Reference 40
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.230077Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1423e5fc-36cc-4697-a5cd-b200a7e40e13 · outbound
This paper cites Gromov-Hausdorff convergence of state spaces for spectral truncations.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Gromov-Hausdorff convergence of state spaces for spectral truncations
Reference 41
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T02:27:34.269504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 15db1a5f-dcd5-416a-8f98-a3738414882a · outbound
This paper cites Zeller-Meier,Produits croisés d’une C*-algèbre par un groupe d’ Automorphismes, J.
How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale Zeller-Meier,Produits croisés d’une C*-algèbre par un groupe d’ Automorphismes, J
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-05T15:51:15.711959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
No inbound Pith citation observations are available.