Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T14:16:13.981838Z
Paper Citation Record · LEDGER
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators
As of 23 July 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2604.13358.
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 2026-07-22T06:31:00.163083+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
39 of 39 outbound references displayed
- verified exact21
- verified fuzzy17
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cda2e137-cb02-4b5a-b2dc-0dbd4e6a404c · outbound
This paper cites Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.737045Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation af24209f-1193-4eb0-bb13-115a2feaed8d · outbound
This paper cites Making Sense of Non-Hermitian Hamiltonians.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Making Sense of Non-Hermitian Hamiltonians
Reference 2
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.727342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 4dd80109-f34b-4330-92aa-d0458eb342eb · outbound
This paper cites Non-hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Non-hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.780558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation fe88cb77-24a4-42a2-8769-9f4a4a989816 · outbound
This paper cites Anatomy of skin modes and topology in non-hermitian systems.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Anatomy of skin modes and topology in non-hermitian systems
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.791012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 83a93d63-ebc0-40c1-823a-6dd7eed7ac50 · outbound
This paper cites Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Observation of Non-Hermitian Skin Effect and Topology in Ultracold Atoms
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.741383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 54229f23-3c75-4ec8-b576-3760cceae737 · outbound
This paper cites Topological non-hermitian skin effect.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Topological non-hermitian skin effect
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.794687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 7de55e95-3b97-4698-a78e-32a41cb831e4 · outbound
This paper cites Non-Hermitian Physics.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Non-Hermitian Physics
Reference 7
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-10T14:20:30.732008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 69449e6d-f2f9-46c4-99b3-6ab38951eac8 · outbound
This paper cites The index of elliptic operators on compact manifolds.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators The index of elliptic operators on compact manifolds
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.784051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 127f6012-d0f4-4fc0-9a3e-0e3c7e8367e5 · outbound
This paper cites an unresolved cited work.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Unresolved cited work
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.787418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 0d2ab24f-b630-4070-bda2-08cafd1a99d4 · outbound
This paper cites The electronic properties of graphene.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators The electronic properties of graphene
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.750669Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation cbed5d2f-e161-4a67-a08d-c38e1e09e9cf · outbound
This paper cites Weyl and Dirac Semimetals in Three Dimensional Solids.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Weyl and Dirac Semimetals in Three Dimensional Solids
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.722428Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 5ba42ef0-ca98-4488-acd0-68d4d3bddc74 · outbound
This paper cites Zero modes and index theorems for non-Hermitian Dirac fermions.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Zero modes and index theorems for non-Hermitian Dirac fermions
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.811586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation d0fffc81-bbe2-47df-a44d-381187bb50f7 · outbound
This paper cites Fursaev and D.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Fursaev and D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.757016Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 70a59cfd-6c13-4624-9b40-6ed000a7677f · outbound
This paper cites Topological phases of non-Hermitian systems.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Topological phases of non-Hermitian systems
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.805761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 96f757ab-5eae-41ef-b7cc-ec9091a55dab · outbound
This paper cites Naive Lattice Fermion without Doublers.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Naive Lattice Fermion without Doublers
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.780445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation dc7f1bb6-a391-4988-972c-1a3f20804f4b · outbound
This paper cites Lattice Chiral Fermion without Hermiticity.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Lattice Chiral Fermion without Hermiticity
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.790660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation d3a16cd1-f00e-44bb-b813-80cff315002e · outbound
This paper cites Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.776014Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 42104c48-4f53-4857-ba5b-7b3dc554fd92 · outbound
This paper cites Pseudospectra in non-Hermitian quantum mechanics.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Pseudospectra in non-Hermitian quantum mechanics
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T20:41:48.252616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 5d0a214d-a100-4608-9e2c-4ae7527f3f58 · outbound
This paper cites Curvature and eigenvalues of the Laplacian for elliptic complexes.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Curvature and eigenvalues of the Laplacian for elliptic complexes
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.753344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation af008647-28bf-4934-81d3-4039264c3492 · outbound
This paper cites On the Heat equation and the index theorem.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators On the Heat equation and the index theorem
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.739286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 9623163b-7874-452e-95fa-9970df2c2a70 · outbound
This paper cites Spectral asymmetry and Riemannian Geometry 1.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Spectral asymmetry and Riemannian Geometry 1
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.763791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation f875b826-3751-435c-99db-73bd826bcf5e · outbound
This paper cites The twisted index problem for manifolds with boundary.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators The twisted index problem for manifolds with boundary
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.776653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 131dd149-c1d3-4fa9-937e-a71c632c4110 · outbound
This paper cites The eta invariant for a class of elliptic boundary value problems.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators The eta invariant for a class of elliptic boundary value problems
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.766926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation cb3b3de9-e34d-4d64-a4fb-59e8ae16bb4a · outbound
This paper cites The chiral torsional anomaly and the Nieh-Yan invariant with and without boundaries.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators The chiral torsional anomaly and the Nieh-Yan invariant with and without boundaries
Reference 24
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.821482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 915584ce-b6b6-4562-bace-f0506a0de4a6 · outbound
This paper cites Fermions, boundaries and conformal and chiral anomalies in $d=3,\ 4$ and $5$ dimensions.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Fermions, boundaries and conformal and chiral anomalies in $d=3,\ 4$ and $5$ dimensions
Reference 25
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.826546Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 59d70121-ca7e-48cd-a048-af575579cfe2 · outbound
This paper cites Kato,Perturbation theory for linear operators.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Kato,Perturbation theory for linear operators
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.770139Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation a2a3c608-69fb-42f6-a0a8-a9c03c03791a · outbound
This paper cites Covariant perturbation theory. 2: Second order in the curvature. General algorithms.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Covariant perturbation theory. 2: Second order in the curvature. General algorithms
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.750124Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation f6666770-f152-461d-a521-bf7eca6615c1 · outbound
This paper cites Covariant techniques for computation of the heat kernel.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Covariant techniques for computation of the heat kernel
Reference 28
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.800434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 48c37c54-f9e2-4688-ae68-0cf5c5247c53 · outbound
This paper cites Global and local aspects of spectral actions.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Global and local aspects of spectral actions
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.785872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 63aeb9db-e57b-4af3-ad02-09ee95297db7 · outbound
This paper cites The Ground State of a Spin 1/2 Charged Particle in a Two-dimensional Magnetic Field.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators The Ground State of a Spin 1/2 Charged Particle in a Two-dimensional Magnetic Field
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.760548Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 2a0bf74a-0034-4ab4-8c88-808f07c2cbbf · outbound
This paper cites Solitons with Fermion Number 1/2.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Solitons with Fermion Number 1/2
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.746391Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 5629df80-b55a-4f87-bda7-3e6d9b397ac7 · outbound
This paper cites Fermion Number Fractionization in Quantum Field Theory.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Fermion Number Fractionization in Quantum Field Theory
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.742849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 968ecf6e-1cbb-45df-920b-2972bb3c6b54 · outbound
This paper cites Yukawa-Lorentz Symmetry in Non-Hermitian Dirac Materials.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Yukawa-Lorentz Symmetry in Non-Hermitian Dirac Materials
Reference 33
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.795194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 16a4b94e-e7b4-47a1-a508-30bd20010fb1 · outbound
This paper cites Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
Reference 34
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T00:03:04.678019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 1c5eb95c-6e9a-4f07-807b-4d37e5fda560 · outbound
This paper cites Zero Modes of the Vortex - Fermion System.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Zero Modes of the Vortex - Fermion System
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-18T15:22:41.773216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation da6c8a92-04ff-46d2-af63-74d4778d5d9a · outbound
This paper cites Non-Hermitian Chiral Magnetic Effect in Equilibrium.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Non-Hermitian Chiral Magnetic Effect in Equilibrium
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.761148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation f67fdb47-1ee3-41be-af19-287acd9d0605 · outbound
This paper cites Non-Hermitian chiral anomalies.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Non-Hermitian chiral anomalies
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.770778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 5c449a95-fc2d-418a-bd95-ffd6fcd0537a · outbound
This paper cites Non-Hermitian chiral anomalies in interacting systems.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Non-Hermitian chiral anomalies in interacting systems
Reference 38
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.746023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Observation 29ec45f0-5236-43f9-ad4e-ec63b1b4e738 · outbound
This paper cites Heat kernel expansion: user's manual.
Atiyah--Singer Index Theorem for Non-Hermitian Dirac Operators Heat kernel expansion: user's manual
Reference 39
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T14:20:30.766246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.
Pith citing papers
No inbound Pith citation observations are available.