Paper Citation Record · LEDGER

Dirac operators and local invariants on perturbations of Minkowski space

As of 21 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2412.12714.

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

pith.paper-citation-record.v1
2412.12714 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:56:32.453523Z

measured 56 of 56 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:27:05.893668Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T15:27:06.051769Z

Reference resolution

55 of 55 outbound references displayed

verified exact4
verified fuzzy25
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 051097fa-b0ac-4bd3-b42a-f66c0f80f5ae · outbound

This paper cites B¨ ar, P.

Dirac operators and local invariants on perturbations of Minkowski space B¨ ar, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.251000Z

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 6e7491e3-07d3-47d4-b4d4-3e0b287b2d1d · outbound

This paper cites B¨ ar and A.

Dirac operators and local invariants on perturbations of Minkowski space B¨ ar and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.228931Z

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

Observation 11e678ac-eedd-46e8-9449-845fe496be3f · outbound

This paper cites Local Index Theory for Lorentzian Manifolds.

Dirac operators and local invariants on perturbations of Minkowski space Local Index Theory for Lorentzian Manifolds

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T13:56:32.116883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4330abf-701b-4bfb-b8f3-dc01ef44b561 · outbound

This paper cites Berline, E.

Dirac operators and local invariants on perturbations of Minkowski space Berline, E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.215092Z

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

Observation 192c3cf3-0f70-4fb8-a079-1825ec72a11b · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.201177Z

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Observation 663b7a11-b42f-438e-bb25-3ff1d57c961a · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.181623Z

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

Observation beb0fc3b-a556-44e3-8fd9-71e7f5a4cd3e · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.156579Z

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

Observation 0e372090-0037-432a-8afa-e30802de65de · outbound

This paper cites Colin de Verdi` ere and C.

Dirac operators and local invariants on perturbations of Minkowski space Colin de Verdi` ere and C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.137524Z

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

Observation be4c0e95-61a2-4c77-a3fa-c32edf3f754e · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.120418Z

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Observation 604bf141-84e1-4a62-8e99-b66ff50dea1a · outbound

This paper cites Connes and M.

Dirac operators and local invariants on perturbations of Minkowski space Connes and M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.101831Z

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 28ffca37-8327-44ce-846c-699bf14cc2c6 · outbound

This paper cites Cauchy Problem for the Dirac operator on spatially non-compact spacetimes.

Dirac operators and local invariants on perturbations of Minkowski space Cauchy Problem for the Dirac operator on spatially non-compact spacetimes

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:56:33.066577Z

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

Observation 5d798f06-2909-45e3-a6a3-f050e6c0438f · outbound

This paper cites D’Andrea, M.

Dirac operators and local invariants on perturbations of Minkowski space D’Andrea, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.085910Z

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 07212da1-8d68-47a6-8a5e-13ae21616e90 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.071714Z

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Observation 2132676f-f8cc-477c-a20a-38192f59b0f3 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.050932Z

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

Observation 23bf3b2d-99e5-4feb-9ddf-57c250aa47eb · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:34.033380Z

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

Observation 5cbd2b45-eea2-4a33-afa1-36000b85bd02 · outbound

This paper cites Derezi´ nski and C.

Dirac operators and local invariants on perturbations of Minkowski space Derezi´ nski and C

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T13:56:32.212399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fde85f27-82a0-438c-868c-d91b9296b20b · outbound

This paper cites Derezi´ nski and D.

Dirac operators and local invariants on perturbations of Minkowski space Derezi´ nski and D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:34.012337Z

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

Observation 6220d6d8-36ee-41d1-82ad-3bd98171f489 · outbound

This paper cites Devastato, S.

Dirac operators and local invariants on perturbations of Minkowski space Devastato, S

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.991328Z

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

Observation 34dbf5e4-543e-4969-9994-90eef93211bb · outbound

This paper cites Gell-Redman, N.

Dirac operators and local invariants on perturbations of Minkowski space Gell-Redman, N

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.976260Z

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 2c6d8a7d-a88c-406b-b192-2f8d7f6d395e · outbound

This paper cites Gell-Redman, A.

Dirac operators and local invariants on perturbations of Minkowski space Gell-Redman, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.949415Z

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 f975948c-765b-4598-aa06-1e6865f4e079 · outbound

This paper cites G´ erard and M.

Dirac operators and local invariants on perturbations of Minkowski space G´ erard and M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.910858Z

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 c05a27eb-8f78-49f0-b4b0-fac313a3ff49 · outbound

This paper cites G´ erard and M.

Dirac operators and local invariants on perturbations of Minkowski space G´ erard and M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.883360Z

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 51a5eff5-3950-4f23-9f90-183b959e7aae · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:56:32.928969Z

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 6bf3551b-ed53-4c84-876e-4f50f3db1983 · outbound

This paper cites Kami´ nski.

Dirac operators and local invariants on perturbations of Minkowski space Kami´ nski

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.861409Z

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

Observation 4c52a38e-e63c-4fe7-9d07-cee0501d35dc · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.831701Z

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

Observation dac99a36-53fb-4ef0-b1cc-4cfe2c1d2e9d · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.801831Z

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

Observation a5a4e556-a7d8-4f4a-b2dc-6830332aed8d · outbound

This paper cites Martinetti and D.

Dirac operators and local invariants on perturbations of Minkowski space Martinetti and D

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.780157Z

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

Observation 34006a06-26c4-46ac-8083-31b76c4a29fc · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.747205Z

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

Observation b45e4557-6510-434a-b48d-0eac8d909ee7 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.721917Z

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

Observation 9a243b18-e172-459d-8d50-416ed1136f4c · outbound

This paper cites Molodyk and A.

Dirac operators and local invariants on perturbations of Minkowski space Molodyk and A

Reference 30

Resolution: verified exact; raw_fallback, observed 2026-08-11T13:56:32.805851Z

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

Observation da77897a-a69a-4dd6-9070-af9b669be2f7 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.693455Z

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

Observation fb2b5cb6-f93c-4934-8f10-e7629dd8e1f1 · outbound

This paper cites Nakamura and K.

Dirac operators and local invariants on perturbations of Minkowski space Nakamura and K

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.671799Z

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 29220d3b-cf63-4c7f-81de-75299b223f08 · outbound

This paper cites Nakamura and K.

Dirac operators and local invariants on perturbations of Minkowski space Nakamura and K

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.649258Z

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 44935a6c-e682-4815-b9a7-07cee3ab2ecd · outbound

This paper cites Nakamura and K.

Dirac operators and local invariants on perturbations of Minkowski space Nakamura and K

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.628459Z

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 ffafab67-725d-4075-9d14-f63c59dd0441 · outbound

This paper cites Paschke and R.

Dirac operators and local invariants on perturbations of Minkowski space Paschke and R

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.599574Z

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 2681777f-ada8-4a1f-b581-1a5fd2ccbb9e · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.557807Z

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

Observation 2bc10dfd-44f8-408c-b80a-4ae5696c0ec4 · outbound

This paper cites Strohmaier.

Dirac operators and local invariants on perturbations of Minkowski space Strohmaier

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.520233Z

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 ce286448-462a-4e4a-a9f2-1f64c7a5312a · outbound

This paper cites Massive wave propagation near null infinity.

Dirac operators and local invariants on perturbations of Minkowski space Massive wave propagation near null infinity

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T13:56:32.349571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 775a87c2-586f-4ada-b709-b8343fd9fcc1 · outbound

This paper cites Tadano and K.

Dirac operators and local invariants on perturbations of Minkowski space Tadano and K

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.492409Z

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 f9785bdd-7b4d-4350-b6ff-3e4e9d98ee14 · outbound

This paper cites Equivalence of classical and quantum completeness for real principal type operators on the circle.

Dirac operators and local invariants on perturbations of Minkowski space Equivalence of classical and quantum completeness for real principal type operators on the circle

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:56:32.562806Z

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 11769258-cb02-401d-8dc8-83642644fcbc · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.466698Z

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 18bab363-828f-4068-a89a-0471e34fd734 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.443924Z

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 2c4a78e3-835f-4b72-bd46-864f52bf9c82 · outbound

This paper cites Uhlmann and A.

Dirac operators and local invariants on perturbations of Minkowski space Uhlmann and A

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.399295Z

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 a949117c-b116-4397-b8c0-9e7c25980481 · outbound

This paper cites van den Dungen.

Dirac operators and local invariants on perturbations of Minkowski space van den Dungen

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.375996Z

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 f7088b99-5dea-4e27-ba09-5c4c805f4880 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.354319Z

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 62f2e70f-1082-4b35-b12c-99b7cf699581 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.332785Z

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 1ef00034-08fc-4b56-84ff-111d84e03e4e · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.309424Z

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 fc3a3448-99fc-42dc-a1d7-113a1174234f · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 48

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.281545Z

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 174453bf-2928-498e-a713-843e841bb023 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.250611Z

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 8bf81fe2-f15c-47db-8133-c03066ba912d · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.219596Z

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 c2fb14d3-49f1-4795-9fc2-6947ca2755c0 · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.200948Z

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 abd830d6-b336-4022-a23f-87746546a013 · outbound

This paper cites Vasy and M.

Dirac operators and local invariants on perturbations of Minkowski space Vasy and M

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.187927Z

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 b81ff467-833d-42af-ba96-8261c36c2638 · outbound

This paper cites Vasy and M.

Dirac operators and local invariants on perturbations of Minkowski space Vasy and M

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.159221Z

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 f69b06db-7770-4ce5-9af9-cb333d55e409 · outbound

This paper cites Wrochna and R.

Dirac operators and local invariants on perturbations of Minkowski space Wrochna and R

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:56:33.136834Z

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 9e71ef24-e996-43cd-b62f-72259ede52cb · outbound

This paper cites an unresolved cited work.

Dirac operators and local invariants on perturbations of Minkowski space Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:56:33.115987Z

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

Observation 79c6eb78-80f2-40ef-a111-1dfa1726cf40 · inbound

On the relationship between the semiclassical and standard pseudodifferential algebras cites this paper.

On the relationship between the semiclassical and standard pseudodifferential algebras Dirac operators and local invariants on perturbations of Minkowski space

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:27:06.065434Z

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.