Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:48:41.536520Z
Paper Citation Record · LEDGER
Higher order spectral shift of Euclidean Callias operators
As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.01647.
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 2026-08-08T06:32:00.761636+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
36 of 36 outbound references displayed
- verified exact1
- verified fuzzy29
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 14ffc795-a4cd-49aa-9e34-2091ff66569c · outbound
This paper cites Anghel, L2-index formulae for perturbed Dirac operators , Commun.
Higher order spectral shift of Euclidean Callias operators Anghel, L2-index formulae for perturbed Dirac operators , Commun
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:48.541849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cdf1ad11-d1f3-4962-8b35-bc5c6e3071d6 · outbound
This paper cites an unresolved cited work.
Higher order spectral shift of Euclidean Callias operators Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:48:48.353846Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4f882c92-6db6-41cb-99bd-c425eeb23bd6 · outbound
This paper cites Birman and M.Z.
Higher order spectral shift of Euclidean Callias operators Birman and M.Z
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:48.122377Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1e316ea6-4f5d-41b8-b6f3-562724167443 · outbound
This paper cites II , Problems Math.
Higher order spectral shift of Euclidean Callias operators II , Problems Math
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:47.865412Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f518abf4-ad12-4fc8-b668-780538ce8762 · outbound
This paper cites III , Problems Math.
Higher order spectral shift of Euclidean Callias operators III , Problems Math
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:47.656499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b6d5a4b6-883f-457c-9a63-b30a926eaeeb · outbound
This paper cites Boll´ e, F.
Higher order spectral shift of Euclidean Callias operators Boll´ e, F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:47.509707Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 51f9252e-4385-45ff-a16d-b008df7359b8 · outbound
This paper cites Bott and R.
Higher order spectral shift of Euclidean Callias operators Bott and R
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:47.244297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a0d67bed-218f-4367-b633-16061cf1e39c · outbound
This paper cites Braverman and P.
Higher order spectral shift of Euclidean Callias operators Braverman and P
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:47.073512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 66a0887c-079a-44fc-8fe0-13d8440c6a14 · outbound
This paper cites Br¨ uning and H.
Higher order spectral shift of Euclidean Callias operators Br¨ uning and H
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:46.868938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a59d7be2-9eb0-4ee5-82dc-8fd4338e1592 · outbound
This paper cites Bunke, A K-theoretic relative index theorem and Callias-type Dirac op- erators, Math.
Higher order spectral shift of Euclidean Callias operators Bunke, A K-theoretic relative index theorem and Callias-type Dirac op- erators, Math
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:46.749531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d3401ce9-6eda-4f92-96ae-6dc61adcf424 · outbound
This paper cites Callias, Axial anomalies and index theorems on open spaces , Commun.
Higher order spectral shift of Euclidean Callias operators Callias, Axial anomalies and index theorems on open spaces , Commun
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:46.561182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation de6831fb-b511-4514-98b4-e7dd123eacab · outbound
This paper cites Carey, F.
Higher order spectral shift of Euclidean Callias operators Carey, F
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:46.369544Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e81febd7-3c0c-441f-8198-d6bddd5bd934 · outbound
This paper cites Carey, F.
Higher order spectral shift of Euclidean Callias operators Carey, F
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:46.214454Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 003d2e84-5098-47e4-8989-abca824e6c66 · outbound
This paper cites Carvalho and V.
Higher order spectral shift of Euclidean Callias operators Carvalho and V
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:46.053321Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4af7b118-085c-4f02-b641-64fb2f2c9539 · outbound
This paper cites Cecchini, Callias-type operators in C ∗-algebras and positive scalar cur- vature on noncompact manifolds, J.
Higher order spectral shift of Euclidean Callias operators Cecchini, Callias-type operators in C ∗-algebras and positive scalar cur- vature on noncompact manifolds, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:45.865461Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 630693ed-20aa-4898-a894-070812f287a6 · outbound
This paper cites van den Dungen, The index of generalised Dirac-Schr¨ odinger operators, J.
Higher order spectral shift of Euclidean Callias operators van den Dungen, The index of generalised Dirac-Schr¨ odinger operators, J
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:45.651994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6a284753-2e0f-41a3-a0e7-06205c2d975e · outbound
This paper cites Trace and Index of Dirac-Schr\"odinger Operators on Open Space with Operator Potentials.
Higher order spectral shift of Euclidean Callias operators Trace and Index of Dirac-Schr\"odinger Operators on Open Space with Operator Potentials
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:48:41.727135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bf916254-16da-48af-8c49-90ba1f54a333 · outbound
This paper cites an unresolved cited work.
Higher order spectral shift of Euclidean Callias operators Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:48:45.423557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cefd9d0e-57de-461e-a9ac-983f86cfd2a0 · outbound
This paper cites an unresolved cited work.
Higher order spectral shift of Euclidean Callias operators Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:48:45.209048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9c2db8ff-1648-43e4-a3d1-3d3cb80e3641 · outbound
This paper cites Gesztesy, Y.
Higher order spectral shift of Euclidean Callias operators Gesztesy, Y
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:44.967384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5034d977-c901-42b1-8b45-07d2e2b12900 · outbound
This paper cites Gesztesy, Y.
Higher order spectral shift of Euclidean Callias operators Gesztesy, Y
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:44.731282Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f5b3dcef-5c82-43d8-841e-57e53cb93d7b · outbound
This paper cites Gesztesy and B.
Higher order spectral shift of Euclidean Callias operators Gesztesy and B
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:44.521215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4e762d8e-0ae4-4c9e-9290-0a24095087fd · outbound
This paper cites Gesztesy and M.
Higher order spectral shift of Euclidean Callias operators Gesztesy and M
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:44.376774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f31fd038-7be1-4958-8cea-5cd062f9803e · outbound
This paper cites Kato, Perturbation theory for linear operators , Springer, Berlin, 1980.
Higher order spectral shift of Euclidean Callias operators Kato, Perturbation theory for linear operators , Springer, Berlin, 1980
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:44.227393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9ee141c2-fb97-4d06-a92b-dbcff09e2db9 · outbound
This paper cites Koplienko, Trace formula for perturbations of nonnuclear type , Sib.
Higher order spectral shift of Euclidean Callias operators Koplienko, Trace formula for perturbations of nonnuclear type , Sib
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:44.055450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 057c37f2-9f4a-4dcb-833d-b5cf507312ac · outbound
This paper cites Kottke, A Callias-type index theorem with degenerate potentials, Comm.
Higher order spectral shift of Euclidean Callias operators Kottke, A Callias-type index theorem with degenerate potentials, Comm
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:43.894128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2cf1c7e1-9da9-46e6-92b9-1d734a4811a9 · outbound
This paper cites Kucerovsky, A short proof of an index theorem , Proc.
Higher order spectral shift of Euclidean Callias operators Kucerovsky, A short proof of an index theorem , Proc
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:43.713434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bd970dc4-9ccc-4db0-a80f-b48d12df943f · outbound
This paper cites an unresolved cited work.
Higher order spectral shift of Euclidean Callias operators Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:48:43.532968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 61c44b6b-e74a-4c75-983e-07c7452ed53b · outbound
This paper cites Peller, Multiple operator integrals and higher operator derivatives , J.
Higher order spectral shift of Euclidean Callias operators Peller, Multiple operator integrals and higher operator derivatives , J
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:43.333266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e08264aa-576f-4b14-bea2-ff7d7d43b1b8 · outbound
This paper cites an unresolved cited work.
Higher order spectral shift of Euclidean Callias operators Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:48:43.135655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e2237d5e-b7ee-4864-84e3-0308b65baa5f · outbound
This paper cites Potapov, A.
Higher order spectral shift of Euclidean Callias operators Potapov, A
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:42.945040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 025cc4d8-35a0-4316-bb0b-7552a17eb18b · outbound
This paper cites Pushnitski, The spectral flow, the Fredholm index, and the spectral shift function, Spectral Theory of Differential Operators: M.
Higher order spectral shift of Euclidean Callias operators Pushnitski, The spectral flow, the Fredholm index, and the spectral shift function, Spectral Theory of Differential Operators: M
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:42.701912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6900fe39-c48f-40e5-8879-a761928be6ba · outbound
This paper cites R ˚ ade,Callias’ index theorem, elliptic boundary conditions, and cutting and gluing , Commun.
Higher order spectral shift of Euclidean Callias operators R ˚ ade,Callias’ index theorem, elliptic boundary conditions, and cutting and gluing , Commun
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:42.476653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 71d45c83-2994-4f1d-a6ce-992619a3fec5 · outbound
This paper cites Schulz-Baldes and T.
Higher order spectral shift of Euclidean Callias operators Schulz-Baldes and T
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:42.304812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a76f2b1e-26be-4a4e-aba0-60c947a47978 · outbound
This paper cites Shi, The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions, Ann.
Higher order spectral shift of Euclidean Callias operators Shi, The index of Callias-type operators with Atiyah-Patodi-Singer boundary conditions, Ann
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:48:42.132319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cbc77c51-d572-445d-81e9-1df09a5a8162 · outbound
This paper cites an unresolved cited work.
Higher order spectral shift of Euclidean Callias operators Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:48:41.908795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.