Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:12:34.817865Z
Paper Citation Record · LEDGER
1-D Schr\"odinger operator on a star graph with nondefinite weight function
As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2505.22901.
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
34 of 34 outbound references displayed
- verified exact0
- verified fuzzy31
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cacfcfb2-f90a-499f-9128-b0cc330a52cd · outbound
This paper cites I., and Glazman, I.
1-D Schr\"odinger operator on a star graph with nondefinite weight function I., and Glazman, I
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:41.299983Z
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 9da059a3-3ff9-4163-a6e5-50ab444ef2ee · outbound
This paper cites Linear operators on Krein spaces.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Linear operators on Krein spaces
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:41.043775Z
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 0df8edfc-9256-4434-b247-4f49d566e3e4 · outbound
This paper cites Y., and Iokhvidov, I.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Y., and Iokhvidov, I
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:40.818403Z
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 a89cbe35-8f58-4b2d-9527-b54edafdc90a · outbound
This paper cites Sharp eigen- value estimates for rank one perturbations of nonnegative operators in Krein spaces.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Sharp eigen- value estimates for rank one perturbations of nonnegative operators in Krein spaces
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:40.688589Z
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 5e4d567b-ddc5-4b1b-9ed7-4b0ecd149544 · outbound
This paper cites Introduction to quantum graphs , vol.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Introduction to quantum graphs , vol
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:40.552627Z
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 8426d220-9e26-440b-8119-316ba00efc21 · outbound
This paper cites Hilbert space operators in quantum physics , 2nd ed.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Hilbert space operators in quantum physics , 2nd ed
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:40.406890Z
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 fc59b037-27fb-48c7-bb70-afcc71de95c7 · outbound
This paper cites Indefinite inner product spaces.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Indefinite inner product spaces
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:40.234551Z
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 9fef61a6-be26-4294-894b-d369d3e8f070 · outbound
This paper cites On the regularity of the critical point infinity of definitizable operators.
1-D Schr\"odinger operator on a star graph with nondefinite weight function On the regularity of the critical point infinity of definitizable operators
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:40.051171Z
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 8b890e39-b2b9-462c-8095-85a0dc8c85ba · outbound
This paper cites Indefinite Sturm-Liouville operators in polar form.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Indefinite Sturm-Liouville operators in polar form
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:39.835661Z
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 8bea5a96-5f5c-44bd-830c-8c72bdccd54a · outbound
This paper cites A Kre˘in space approach to symmetric ordinary differential operators with an indefinite weight function.
1-D Schr\"odinger operator on a star graph with nondefinite weight function A Kre˘in space approach to symmetric ordinary differential operators with an indefinite weight function
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:39.615645Z
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 94c4bd05-3980-4c14-86a1-5f091112cd44 · outbound
This paper cites A Krein space approach to elliptic eigenvalue problems with indefinite weights.
1-D Schr\"odinger operator on a star graph with nondefinite weight function A Krein space approach to elliptic eigenvalue problems with indefinite weights
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:39.426057Z
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 330ce8c2-2599-4cf1-8911-8feaa1df642e · outbound
This paper cites The operator (sgn x)d2/dx2 is similar to a selfadjoint operator in L2(R).
1-D Schr\"odinger operator on a star graph with nondefinite weight function The operator (sgn x)d2/dx2 is similar to a selfadjoint operator in L2(R)
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:39.248366Z
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 88a7f4a7-be34-49cc-a167-802b9454dcfb · outbound
This paper cites an unresolved cited work.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:12:39.125967Z
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 247ad141-e243-40b7-ac96-49250bf0edaf · outbound
This paper cites On Weyl function and generalized resolvents of a Hermitian operator in a Krein space.
1-D Schr\"odinger operator on a star graph with nondefinite weight function On Weyl function and generalized resolvents of a Hermitian operator in a Krein space
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:38.912620Z
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 d646fb51-6e80-417a-b5f1-79584066c775 · outbound
This paper cites an unresolved cited work.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:12:38.734132Z
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 d6d66f80-8dc2-4ac3-8a3c-bbcdbf708c2b · outbound
This paper cites A., and Malamud, M.
1-D Schr\"odinger operator on a star graph with nondefinite weight function A., and Malamud, M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:38.540690Z
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 e5c435da-f6ea-4e8e-ad96-b382a21523f8 · outbound
This paper cites The critical point infinity associated with indefinite Sturm-Liouville problems.
1-D Schr\"odinger operator on a star graph with nondefinite weight function The critical point infinity associated with indefinite Sturm-Liouville problems
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:38.321374Z
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 6e9afe07-2c97-46c3-b2a1-5d88594d51f7 · outbound
This paper cites An indefinite excursion in operator theory.
1-D Schr\"odinger operator on a star graph with nondefinite weight function An indefinite excursion in operator theory
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:38.115013Z
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 9e9cf550-d779-4346-9543-379855e7a593 · outbound
This paper cites C., and Krein, M.
1-D Schr\"odinger operator on a star graph with nondefinite weight function C., and Krein, M
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:37.854906Z
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 f40db055-215b-4de0-b0c1-b8b7394a9bca · outbound
This paper cites I., and Gorbachuk, M.
1-D Schr\"odinger operator on a star graph with nondefinite weight function I., and Gorbachuk, M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:37.658759Z
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 4f83a074-b40e-413a-9328-c7f552934104 · outbound
This paper cites Non-self-adjoint graphs.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Non-self-adjoint graphs
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:37.497311Z
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 5f88cb8e-32bd-4025-ae6d-9bba0f9bcd86 · outbound
This paper cites S., Krein, M.
1-D Schr\"odinger operator on a star graph with nondefinite weight function S., Krein, M
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:37.338873Z
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 43a4d8c0-32ef-41af-bbf0-80ff7b8e6fd5 · outbound
This paper cites Perturbation theory for linear operators , second ed.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Perturbation theory for linear operators , second ed
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:37.121261Z
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 fd2508b6-1ae4-4433-8af6-be35f3888a61 · outbound
This paper cites Kirchhoff’s rule for quantum wires.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Kirchhoff’s rule for quantum wires
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:36.880751Z
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 ddd4e480-98c4-40fc-8028-6ea4b69702b3 · outbound
This paper cites an unresolved cited work.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:12:36.567428Z
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 5b403c70-a7d6-48ba-aacd-448fde78c8b4 · outbound
This paper cites Spectral geometry of graphs , vol.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Spectral geometry of graphs , vol
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:36.366120Z
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 10538372-cc8e-41f3-b233-854833bf9b76 · outbound
This paper cites Spektralfunktionen einer Klasse J-selbstadjungierter Operatoren.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Spektralfunktionen einer Klasse J-selbstadjungierter Operatoren
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:36.095428Z
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 0db4b296-dd37-4a4e-976d-4b78b1c37b99 · outbound
This paper cites ¨Uber eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilber- traum.
1-D Schr\"odinger operator on a star graph with nondefinite weight function ¨Uber eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilber- traum
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:35.927940Z
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 4d2b02ca-96a9-49e4-9972-f5f720426f81 · outbound
This paper cites ¨Uber eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilber- traum.
1-D Schr\"odinger operator on a star graph with nondefinite weight function ¨Uber eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilber- traum
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:35.776600Z
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 eef3e829-7cb5-47f0-807c-d23677cb32d3 · outbound
This paper cites Zur Spektraltheorie polynomialer Scharen selbstadjungierter Operatoren.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Zur Spektraltheorie polynomialer Scharen selbstadjungierter Operatoren
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:35.650199Z
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 09211690-5af5-4da1-b6b0-bdca8e64ee10 · outbound
This paper cites Spectral functions of definitizable operators in Krein spaces.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Spectral functions of definitizable operators in Krein spaces
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:35.521588Z
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 10261092-a2fa-4601-b1bf-0f5fd9fd3eff · outbound
This paper cites Spektraltheorie linearer Operatoren in J-R¨ aumen and einige Anwendungen auf die Schar L(λ) = λ2I + λb + c, Habilitationsschrift, Technische Universit¨ at Dresden, 1965.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Spektraltheorie linearer Operatoren in J-R¨ aumen and einige Anwendungen auf die Schar L(λ) = λ2I + λb + c, Habilitationsschrift, Technische Universit¨ at Dresden, 1965
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:35.346423Z
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 cde04ea1-8e6c-4a7b-9386-3e1b508643de · outbound
This paper cites Spectral analysis of second order operators with sign-changing coefficients on general compact graphs, submitted 2024.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Spectral analysis of second order operators with sign-changing coefficients on general compact graphs, submitted 2024
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:35.188960Z
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 3b706b2f-ea15-4317-ba47-80104cc31afa · outbound
This paper cites Quasi-hermitian operators in quantum mechanics and the variational principle.
1-D Schr\"odinger operator on a star graph with nondefinite weight function Quasi-hermitian operators in quantum mechanics and the variational principle
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:12:34.998921Z
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.