Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:00:32.732061Z
Paper Citation Record · LEDGER
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits
As of 16 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.04214.
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 2026-08-16T06:30:59.297886+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
12 of 12 outbound references displayed
- verified exact2
- verified fuzzy8
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 05f9ac76-d227-486c-9c58-5a2e7cd63341 · outbound
This paper cites Self-Adjoint Extensions of the Laplace–Beltrami Operator and Unitaries at the Boundary.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Self-Adjoint Extensions of the Laplace–Beltrami Operator and Unitaries at the Boundary
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-14T14:00:32.822667Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bc5e2abd-1093-45cc-a30f-2af2bcad49ac · outbound
This paper cites Methods of Modern Mathematical Physics I: Functional Analysis , rev and enl ed.; Elsevier,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Methods of Modern Mathematical Physics I: Functional Analysis , rev and enl ed.; Elsevier,
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:32.968311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b4967508-60d9-41b7-86a0-62b5924854ff · outbound
This paper cites generalised Functions, Vol.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits generalised Functions, Vol
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:32.943976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 46ea53c3-a3a4-4a22-86b3-0fea6d2ae2bf · outbound
This paper cites The Theory of Groups and Quantum Mechanics ; Courier Corporation,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits The Theory of Groups and Quantum Mechanics ; Courier Corporation,
Reference 1931
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:33.078030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e36eb7ea-e0b6-4ed7-b93f-4fa3b9d9cb65 · outbound
This paper cites Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Allgemeine Eigenwerttheorie Hermitescher Funktionaloperatoren
Reference 1950
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:00:32.680521Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7ff6c57d-8abd-4230-baac-b483d914a096 · outbound
This paper cites Manifolds, Tensor Analysis, and Applications , 3 ed.; Applied Mathematical Sciences, Springer-Verlag: New York,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Manifolds, Tensor Analysis, and Applications , 3 ed.; Applied Mathematical Sciences, Springer-Verlag: New York,
Reference 1967
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:32.924938Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a9fd30f8-0852-40c5-a74a-6a95c5c69fb6 · outbound
This paper cites Universal Computation by Quantum Walk.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Universal Computation by Quantum Walk
Reference 1982
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:00:32.732061Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0633984-416c-4b0e-aa57-b7bbca556540 · outbound
This paper cites Linear Operator Theory in Engineering and Science ; Applied Mathe- matical Sciences, Springer-Verlag: New York,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Linear Operator Theory in Engineering and Science ; Applied Mathe- matical Sciences, Springer-Verlag: New York,
Reference 1988
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:32.904411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7e939554-ce9d-4bbc-bab4-c964b953673f · outbound
This paper cites Sobolev Spaces; Pure and Applied Mathematics, Elsevier Science,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Sobolev Spaces; Pure and Applied Mathematics, Elsevier Science,
Reference 1995
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:33.044680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 06348218-4801-430a-8325-18c46194a1ea · outbound
This paper cites Solvable Models in Quantum Mechanics; Springer Science & Business Media,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Solvable Models in Quantum Mechanics; Springer Science & Business Media,
Reference 2003
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:33.020373Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation db30fc98-6919-4b90-9cdf-e3e8c041cbd5 · outbound
This paper cites Boundary dynamics and topology change in quantum mechanics.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits Boundary dynamics and topology change in quantum mechanics
Reference 2004
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:00:32.881762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 37af53c9-aca0-42fb-9c65-e8ac4825aac2 · outbound
This paper cites From Classical to Quantum Mechanics: An Intro- duction to the Formalism, Foundations and Applications ; Cambridge University Press: Cambridge,.
On $\mathbb{Z}$-invariant self-adjoint extensions of the Laplacian on quantum circuits From Classical to Quantum Mechanics: An Intro- duction to the Formalism, Foundations and Applications ; Cambridge University Press: Cambridge,
Reference 2012
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:00:32.996256Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.