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 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation 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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:52:21.242171Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T04:52:21.600630Z
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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 9ddc97bb-19b9-49fd-b6e2-b6c9bebd7e2d · inbound
Lexicographic functional calculus and its application to functional calculus calculus cites this paper.
Lexicographic functional calculus and its application to functional calculus calculus Higher order spectral shift of Euclidean Callias operators
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:52:21.605972Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.