Pith. sign in

Paper Citation Record · LEDGER

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2412.00628.

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

pith.paper-citation-record.v1
2412.00628 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:30:30.009116Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa383d1f-a218-475b-9e86-cd61d00f6444 · outbound

This paper cites Azamov, E.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Azamov, E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.381195Z

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.

source=pdf_text observed=2026-08-12T05:30:29.887843Z digest=sha256:b1df924edd9aeb38400997c0a1cdbaeb36ee17dc175dec8ac250d71e17a94287

Observation a659c115-61f1-44f4-8798-6d8a8451b5ee · outbound

This paper cites Cor- rected reprint of the 1983 original.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Cor- rected reprint of the 1983 original

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.146545Z

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.

source=pdf_text observed=2026-08-12T05:30:29.980793Z digest=sha256:db0a5b97cc6b82977b0fd06040bd04e78c3d25da0ee3c51cd9807b1f8ef78290

Observation 3f5a97f7-a99c-48d3-adc0-3cffef439087 · outbound

This paper cites Second edition.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Second edition

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.346564Z

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.

source=pdf_text observed=2026-08-12T05:30:29.901691Z digest=sha256:2613c57503d6e853a412c1dce8b0f7e2f42d4ff6eea471f1df0dcb3d22a7f9c7

Observation 6c7b64e2-e044-4e03-b80d-3a4f9e598611 · outbound

This paper cites Springer, Cham, 2018, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Springer, Cham, 2018, pp

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.302799Z

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.

source=pdf_text observed=2026-08-12T05:30:29.919197Z digest=sha256:389be685e41a9aee9a3accca5c8e5546f8bb73af56e8c521af19941f5dff7655

Observation d0e64082-7960-4635-ab74-7aee2b07766a · outbound

This paper cites Glaser and A.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Glaser and A

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.291985Z

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.

source=pdf_text observed=2026-08-12T05:30:29.923433Z digest=sha256:f652876ecc7ece97a8b7e8cc6580f32cc004d9b807441467f119189a1e5d0f12

Observation a06fd4fd-5418-405b-bc9f-f144f3670198 · outbound

This paper cites Reed and B.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Reed and B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.119251Z

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.

source=pdf_text observed=2026-08-12T05:30:29.989359Z digest=sha256:cf13d7505288ba0897faae20dc7ef7093781a40000a5dd1bdeae8220f199c980

Observation 7026276b-d9f6-4cdc-8ae0-7d9adf942809 · outbound

This paper cites Gielen and W.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Gielen and W

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.280394Z

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.

source=pdf_text observed=2026-08-12T05:30:29.927667Z digest=sha256:ed882d4fd800ef345ec10c302b87f29cd3f3ad8a8c80fb1bab39ac8e8bae0b31

Observation db2e158c-56dc-4f73-9a43-1d148313b813 · outbound

This paper cites Second edition.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Second edition

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.180390Z

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.

source=pdf_text observed=2026-08-12T05:30:29.969128Z digest=sha256:58659f120104b6bc50aa2558dc422203ba37ca9aee29ce49fff3ed2384727015

Observation 3701a91d-9898-404f-bf21-990f8817eea7 · outbound

This paper cites McDonald, F.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity McDonald, F

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.169557Z

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.

source=pdf_text observed=2026-08-12T05:30:29.973214Z digest=sha256:101879f3fbf496f27e1ec6eaa8a44f7bca53037bd83362bc14a0d198aafe2e52

Observation f2b1f309-68ea-4455-b183-1ff7104b5926 · outbound

This paper cites Baaj and P.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Baaj and P

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.356852Z

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.

source=pdf_text observed=2026-08-12T05:30:29.897426Z digest=sha256:c84d1cf4cda845a4fefd6c3ef21ccec0f77edec8f24345f59fc587b186f57e54

Observation 1a0f18e0-95a5-4c78-96f0-91ef1d479646 · outbound

This paper cites Laptev and Y.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Laptev and Y

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.191039Z

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.

source=pdf_text observed=2026-08-12T05:30:29.964994Z digest=sha256:fdb9911eeb429ef6cb63f07ea21fc883fc9bad35cecc899feec2103b86df52b9

Observation 30c6d1af-1eac-4e74-9e6d-7df749150ad8 · outbound

This paper cites D’Andrea, F.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity D’Andrea, F

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.325001Z

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.

source=pdf_text observed=2026-08-12T05:30:29.911060Z digest=sha256:4a70b729d766ca0fddf2a55b435f2c69025a208b56693c0dde115c93143f6c26

Observation e6deee9f-6907-4404-a729-8c09debabd1e · outbound

This paper cites Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-12T05:30:29.948722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:30:29.948722Z digest=sha256:4e6f4346a535f0c6f9296b1bacd450ec4bd38d8964985f5d739a094e6a8a8fcb

Observation f6162338-6bf4-4ef5-905c-bfb4ef461f50 · outbound

This paper cites Lord and F.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Lord and F

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.202041Z

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.

source=pdf_text observed=2026-08-12T05:30:29.961215Z digest=sha256:4717edaa90c7b6df469956596332e579ef75a730826316433723c6611bd114d9

Observation 5612432f-5c34-48c7-93b3-a36fb2cccfc4 · outbound

This paper cites an unresolved cited work.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:30:30.313442Z

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.

source=pdf_text observed=2026-08-12T05:30:29.915189Z digest=sha256:6afdbb06fc9aa31f7b139ac5f99864b5c4c5515f77aa7686ea3a6ddb6de59886

Observation e3026c57-93f9-4b7f-8553-1f86beb39bad · outbound

This paper cites an unresolved cited work.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:30:30.158262Z

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.

source=pdf_text observed=2026-08-12T05:30:29.977103Z digest=sha256:2ff36e5a8175ca6bdce103eb3a248bd10fa56ad99fa3b41c58e3a31646040bf4

Observation 660a661f-447a-46d0-9bfa-32a55eb3a173 · outbound

This paper cites Hekkelman and E.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Hekkelman and E

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.235177Z

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.

source=pdf_text observed=2026-08-12T05:30:29.944514Z digest=sha256:94dd3e372e672f4a9c0793a3aa20388f17294db0c8c901b99b5affd9e1eb12cd

Observation 3d94a79f-b8c6-4b41-80e5-b1155d02def3 · outbound

This paper cites an unresolved cited work.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Unresolved cited work

Reference 74

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:30:30.246196Z

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.

source=pdf_text observed=2026-08-12T05:30:29.940223Z digest=sha256:01f2912489f5a544479ddc91ae13a672ee5fbff1fe9fadbaf1882942ad4a6acd

Observation a25b896b-0e22-47c5-bb43-93d712e99a7b · outbound

This paper cites an unresolved cited work.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Unresolved cited work

Reference 91

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:30:30.268985Z

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.

source=pdf_text observed=2026-08-12T05:30:29.931873Z digest=sha256:4bb4613954257266c86318c9212fc0caf87e13f687d307113b0cc45094701caf

Observation 87419d9b-871a-43c9-b5b6-4a1ffddb19f2 · outbound

This paper cites Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2017, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2017, pp

Reference 125

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.082790Z

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.

source=pdf_text observed=2026-08-12T05:30:30.005067Z digest=sha256:72daeb6b5ee92cc287213b43e78ee15abfe00ec40d441a7332bc313955d3d65e

Observation 8dd5e96b-580e-4d3b-8147-24ad5f59c5e1 · outbound

This paper cites Ameri- can Mathematical Society, Providence, RI, 2012, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Ameri- can Mathematical Society, Providence, RI, 2012, pp

Reference 138

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.069123Z

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.

source=pdf_text observed=2026-08-12T05:30:30.009116Z digest=sha256:8865647ec307a20276e288af2ea1c884fc0d3a70fdb7a23a9df92d426fd862c2

Observation 2cc7f308-2fec-4b4c-a07a-49aa4979808e · outbound

This paper cites American Mathematical Society, Providence, RI, 2015, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity American Mathematical Society, Providence, RI, 2015, pp

Reference 168

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.369325Z

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.

source=pdf_text observed=2026-08-12T05:30:29.893275Z digest=sha256:5ac9bbf22c48805f18c1c4abdea98f74fc119f824136b527c6f09b8257631cf8

Observation fe6e4181-0a12-4e9e-80ce-6d9f1a4609b7 · outbound

This paper cites Springer-Verlag, Berlin, 1992, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Springer-Verlag, Berlin, 1992, pp

Reference 297

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.133406Z

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.

source=pdf_text observed=2026-08-12T05:30:29.984979Z digest=sha256:eeafc8218ac1f71498cf42573e38d4a8a60c87dd83db19e79530645f85b359e0

Observation 6e3973e0-f8cf-4148-b1b8-7d3e5efad9d3 · outbound

This paper cites A generalization of K-theory to operator systems.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity A generalization of K-theory to operator systems

Reference 526

Resolution
unresolved
no resolver link, observed 2026-08-12T05:30:29.993003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:30:29.993003Z digest=sha256:7bc792523d19afeadd03b1c9a2b9c9a555aa989432149f9dcfb6293e6c3ce426

Observation 21f143ca-fb1d-4d3a-b970-822518e94632 · outbound

This paper cites Springer, Berlin, 1979, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Springer, Berlin, 1979, pp

Reference 756

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.335431Z

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.

source=pdf_text observed=2026-08-12T05:30:29.906580Z digest=sha256:0958bffc0ccf2ba343c64f64446a30082271e6b18f98a7546003da64cac0d61f

Observation cd624458-fb4c-446d-97a1-a02fb735a825 · outbound

This paper cites Springer-Verlag, Berlin, 2008, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Springer-Verlag, Berlin, 2008, pp

Reference 1917

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.106964Z

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.

source=pdf_text observed=2026-08-12T05:30:29.997128Z digest=sha256:9351262dcf77a60e36f5987175c49a355ba8860688de0d39b80b28fdb496f506

Observation 81490980-494f-4fbd-934e-835a3fe1027d · outbound

This paper cites Press, Somerville, MA, 2010, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Press, Somerville, MA, 2010, pp

Reference 2009

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.095143Z

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.

source=pdf_text observed=2026-08-12T05:30:30.000702Z digest=sha256:a12e92f894c3f15899f47fa76c2a3a7a6681091a5e7f70693aacd133c4a14445

Observation 30b7fb72-d349-453b-a018-1ed51ff71b9b · outbound

This paper cites an unresolved cited work.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Unresolved cited work

Reference 2023

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:30:30.212900Z

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.

source=pdf_text observed=2026-08-12T05:30:29.957423Z digest=sha256:94d815af20c422a7d27587307c469359a7c0caffd669cd34f4a7c081f7c3e68a

Observation 5a9e4e83-e5e0-4449-b7f2-41139c9faab8 · outbound

This paper cites an unresolved cited work.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Unresolved cited work

Reference 2025

Resolution
unresolved
raw_fallback, observed 2026-08-12T05:30:30.257629Z

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.

source=pdf_text observed=2026-08-12T05:30:29.935811Z digest=sha256:720139ca7b5f7ce8f4e6eeadfceded9b8b5b1d30c6a75734a875923dc13d47eb

Observation 26c33b08-a446-4f20-a08f-6ae0c5befa33 · outbound

This paper cites Springer, Cham, 2024, pp.

A noncommutative integral on spectrally truncated spectral triples, and a link with quantum ergodicity Springer, Cham, 2024, pp

Reference 2359

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T05:30:30.223027Z

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.

source=pdf_text observed=2026-08-12T05:30:29.953295Z digest=sha256:3de30c6c4f766d5507a15145b38b3a1e02d294f7bde4bbe55ab2fe9780084b02

Pith citing papers

No inbound Pith citation observations are available.