Paper Citation Record · LEDGER

The spectral torsion for the one form rescaled Dirac operator

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2505.23319.

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

pith.paper-citation-record.v1
2505.23319 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:00:57.783309Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

26 of 26 outbound references displayed

verified exact1
verified fuzzy20
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6586535b-cd07-4302-b72b-8621fad57cf4 · outbound

This paper cites Connes.: Quantized calculus and applications.

The spectral torsion for the one form rescaled Dirac operator Connes.: Quantized calculus and applications

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:02.253599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8a6bafe5-fab9-43ac-bffb-4a3c85d7f1f6 · outbound

This paper cites Connes.: The action functinal in Noncommutative geometry.

The spectral torsion for the one form rescaled Dirac operator Connes.: The action functinal in Noncommutative geometry

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:01.962284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2fe93312-569c-45ee-93e5-1390e66c9b16 · outbound

This paper cites Connes, J.

The spectral torsion for the one form rescaled Dirac operator Connes, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:01.666709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b11bfc0f-ca34-4311-ade5-386951d157d8 · outbound

This paper cites Connes, Geometry from the spectral point of view.

The spectral torsion for the one form rescaled Dirac operator Connes, Geometry from the spectral point of view

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:01.423237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3b881588-4648-4137-8656-981befeb0b20 · outbound

This paper cites Connes and M.

The spectral torsion for the one form rescaled Dirac operator Connes and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:01.202734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 046fb771-4c6b-41ea-a1ab-4dd0206c5fe7 · outbound

This paper cites Connes and H.

The spectral torsion for the one form rescaled Dirac operator Connes and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:01.048320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43a4f397-87db-49ed-80f9-482958bc57df · outbound

This paper cites an unresolved cited work.

The spectral torsion for the one form rescaled Dirac operator Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:01:00.944194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation beaa1e6f-6ab2-46f8-a346-797c0682cfc3 · outbound

This paper cites Dixmier, Existence de traces non normales.

The spectral torsion for the one form rescaled Dirac operator Dixmier, Existence de traces non normales

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.828361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c04f1042-05c1-435d-9724-8a68921b6fa0 · outbound

This paper cites Wodzicki.: Local invariants of spectral asymmetry.

The spectral torsion for the one form rescaled Dirac operator Wodzicki.: Local invariants of spectral asymmetry

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.726539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f178b909-7376-425f-a1ed-4db96c8ee9a8 · outbound

This paper cites Wodzicki.: Non-commutative residue I, Lecture Notes in Math., Springer, Berlin, Vol.

The spectral torsion for the one form rescaled Dirac operator Wodzicki.: Non-commutative residue I, Lecture Notes in Math., Springer, Berlin, Vol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.590878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7830719-14e0-4da7-8bb2-8c99a956df3c · outbound

This paper cites Dabrowski , A.

The spectral torsion for the one form rescaled Dirac operator Dabrowski , A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.465706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation af83d2f5-9893-4d57-b463-f08fa80d8287 · outbound

This paper cites an unresolved cited work.

The spectral torsion for the one form rescaled Dirac operator Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:01:00.365002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 350118be-f949-422c-b22b-be1900e621f9 · outbound

This paper cites Connes., A H.

The spectral torsion for the one form rescaled Dirac operator Connes., A H

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.259245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 152bb0b3-c323-4797-8fb6-58eab2ba3ec5 · outbound

This paper cites Iochum and C.

The spectral torsion for the one form rescaled Dirac operator Iochum and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.130529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ed0b1975-9e43-4f57-be7b-581dd49ace34 · outbound

This paper cites Lacroix a and A.

The spectral torsion for the one form rescaled Dirac operator Lacroix a and A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:01:00.033122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ddd72c4-5e8e-40fd-a96b-2c21a851b675 · outbound

This paper cites Spectral interaction between universes.

The spectral torsion for the one form rescaled Dirac operator Spectral interaction between universes

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:59.874669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 855d036c-44b9-47f8-bcf6-170d98a6a5af · outbound

This paper cites Schrohe.: Noncommutative residue, Dixmier’s trace, and heat trace expansions on manifolds with boundary.

The spectral torsion for the one form rescaled Dirac operator Schrohe.: Noncommutative residue, Dixmier’s trace, and heat trace expansions on manifolds with boundary

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:59.779773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cd2a8d89-3c33-45d4-82fc-f7613de0c4bc · outbound

This paper cites Spectral Torsion, Commun.

The spectral torsion for the one form rescaled Dirac operator Spectral Torsion, Commun

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:59.644975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa48da74-b83e-4644-9a72-e046c7866a92 · outbound

This paper cites Kastler.: The Dirac Operator and Gravitation.

The spectral torsion for the one form rescaled Dirac operator Kastler.: The Dirac Operator and Gravitation

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:59.421738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a3d5644e-cec6-4e07-898a-d319a52d28ad · outbound

This paper cites Kalau and M.

The spectral torsion for the one form rescaled Dirac operator Kalau and M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:59.225418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7c7b6ad0-b0ee-4ae6-bb52-f9a861dca485 · outbound

This paper cites an unresolved cited work.

The spectral torsion for the one form rescaled Dirac operator Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:59.062439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d60b426-d75e-453b-abdc-2906c5068fb7 · outbound

This paper cites an unresolved cited work.

The spectral torsion for the one form rescaled Dirac operator Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:58.921433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 75fd3649-ea27-4062-be57-ce9c5311f9a3 · outbound

This paper cites Gravity and the Noncommutative Residue for Manifolds with Boundary.

The spectral torsion for the one form rescaled Dirac operator Gravity and the Noncommutative Residue for Manifolds with Boundary

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:58.701953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ca9cdf56-1c71-4be3-93b3-b1df7f947158 · outbound

This paper cites The spectral torsion for the Connes type operator.

The spectral torsion for the one form rescaled Dirac operator The spectral torsion for the Connes type operator

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:00:58.491742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation da06ccb5-0caa-4b84-90e0-06e9486e763e · outbound

This paper cites an unresolved cited work.

The spectral torsion for the one form rescaled Dirac operator Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:00:58.277058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ab586717-e8fb-4283-ab5c-d6bd78b78a1b · outbound

This paper cites The spectral Einstein functional for the Dirac operator with torsion.

The spectral torsion for the one form rescaled Dirac operator The spectral Einstein functional for the Dirac operator with torsion

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:00:58.045473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.