Paper Citation Record · LEDGER

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2607.29146.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.29146 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T12:56:37.716893Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

33 of 33 outbound references displayed

verified exact0
verified fuzzy0
unresolved33
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00edb18a-82a7-4fd9-a898-2a457390fb2b · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.579721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1097d2f-bd42-450b-a754-e1438b829b45 · outbound

This paper cites and Nizhnik L.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Nizhnik L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.585145Z

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Observation da9b62d0-4384-45f1-b8dc-ca7fc14f4ade · outbound

This paper cites I., Boundary spectral inverse problem on a class of graphs (trees) by the BC method, Inverse Problems, 20, 647–672 (2004).

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues I., Boundary spectral inverse problem on a class of graphs (trees) by the BC method, Inverse Problems, 20, 647–672 (2004)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.590155Z

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Unavailable: canonical work link unavailable.

Observation 63652de1-7267-4026-90f2-bdfde91e4b31 · outbound

This paper cites P., Entire Functions, Academic Press, New York, 1954.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues P., Entire Functions, Academic Press, New York, 1954

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.594966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6db467b2-f8f5-47f9-89b1-693b134015a8 · outbound

This paper cites and Kurasov P., Symmetries of quantum graphs and the inverse scattering problem, Adv.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Kurasov P., Symmetries of quantum graphs and the inverse scattering problem, Adv

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.600008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f94a77d-486e-436f-99d5-0c3be8974784 · outbound

This paper cites A., Vasiliev S.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues A., Vasiliev S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.604497Z

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Unavailable: canonical work link unavailable.

Observation 67973743-b3c0-4b8f-aed3-465f3d6b2ba0 · outbound

This paper cites P., A partial inverse problem for the Sturm–Liouville operator on a star– shaped graph, Anal.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues P., A partial inverse problem for the Sturm–Liouville operator on a star– shaped graph, Anal

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.609261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e94d8275-8802-4d08-96b1-cc6b4bac680e · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.613188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1df7c52-0d58-449b-9830-a70e2e8dc33a · outbound

This paper cites and Post O., Convergence of spectra of graph-like thin manifolds, J.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Post O., Convergence of spectra of graph-like thin manifolds, J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.617246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6eaa5ef-89de-41c1-b39c-ddf07f858172 · outbound

This paper cites and Yurko V.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Yurko V

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.621181Z

Source-reported events for the cited work

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Observation 4b7541d1-4d3a-49ee-a979-b8633320a02c · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.625102Z

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Unavailable: canonical work link unavailable.

Observation 68d05aae-3061-4c6b-956d-d9d963f25f41 · outbound

This paper cites and Schrader R., Kirchhoff’s rule for quantum wires.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Schrader R., Kirchhoff’s rule for quantum wires

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.629913Z

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Observation 7bdc1359-36e8-4edd-ac09-c7777bfbf7c4 · outbound

This paper cites and Smilansky U., Quantum graphs: A simple model for chaotic scattering, J.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Smilansky U., Quantum graphs: A simple model for chaotic scattering, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.633762Z

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Observation 8e96c4ff-e11d-4457-bc47-6de04ac5670a · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.637787Z

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Observation 6df7fe10-2d55-4890-8fc6-7d99e8c69ef9 · outbound

This paper cites and Kuchment P., Introduction to Quantum Graphs, Mathematical Surveys and Monographs, Vol.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Kuchment P., Introduction to Quantum Graphs, Mathematical Surveys and Monographs, Vol

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.641557Z

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Observation 8a64c5bc-5298-4142-b349-6b22fc76d757 · outbound

This paper cites and Novaszek M., Inverse spectral problem for quantum graphs, J.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Novaszek M., Inverse spectral problem for quantum graphs, J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.645401Z

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Observation abe29f98-8f78-4542-a8f6-b65a7e9a0ea4 · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.649351Z

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Observation a4241a51-b33b-4323-b268-475319dfdc0e · outbound

This paper cites Ja., Distribution of Zeros of Entire Functions, revised edition, Translations of Mathematical Monographs, American Mathematical Society, Providence, 1972.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Ja., Distribution of Zeros of Entire Functions, revised edition, Translations of Mathematical Monographs, American Mathematical Society, Providence, 1972

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.653557Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64f84778-8a9d-406f-ac19-d5906c94889f · outbound

This paper cites Ja., Lectures on Entire Functions, Translations of Mathematical Monographs, V.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Ja., Lectures on Entire Functions, Translations of Mathematical Monographs, V

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.657650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75e19432-3969-459c-b8e3-a11ea9816f3d · outbound

This paper cites and Solomyak M., Eigenvalue estimates for the weighted Laplacian on metric trees, Proc.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Solomyak M., Eigenvalue estimates for the weighted Laplacian on metric trees, Proc

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.661563Z

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Unavailable: canonical work link unavailable.

Observation 66fe2ce1-69f2-4b2b-8df9-a5c44c2bfed0 · outbound

This paper cites P., Inverse eigenvalue problems for nonlocal Sturm–Liouville operators on a star graph, Methods of Functional Analysis and Topology, Vol.18, no.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues P., Inverse eigenvalue problems for nonlocal Sturm–Liouville operators on a star graph, Methods of Functional Analysis and Topology, Vol.18, no

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.665738Z

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Unavailable: canonical work link unavailable.

Observation 876a7c46-0020-4d5c-a72f-217bdc6c4433 · outbound

This paper cites P., Inverse nonlocal Sturm-Liouville problem, Inverse Problems, 26, 125006 (2010).

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues P., Inverse nonlocal Sturm-Liouville problem, Inverse Problems, 26, 125006 (2010)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.670115Z

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Unavailable: canonical work link unavailable.

Observation ce74494e-196f-4da8-817a-72b759180990 · outbound

This paper cites P., Schr¨ odinger operators on graphs and symplectic geometry, E.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues P., Schr¨ odinger operators on graphs and symplectic geometry, E

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.674904Z

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Unavailable: canonical work link unavailable.

Observation f31153d5-b68a-4318-b01b-df63dc342d52 · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.678980Z

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Unavailable: canonical work link unavailable.

Observation 768ff054-5148-4494-baf8-646b712883d0 · outbound

This paper cites Nachr., 280, no.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Nachr., 280, no

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.683410Z

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Unavailable: canonical work link unavailable.

Observation 922df0a3-aacb-412a-84f3-ece02222bdda · outbound

This paper cites and Pryadiev V., The qualitative Sturm-Liouville theory on spatial networks, J.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Pryadiev V., The qualitative Sturm-Liouville theory on spatial networks, J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.687539Z

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Unavailable: canonical work link unavailable.

Observation b56bd4ba-8131-4273-9ed0-685634e1ec12 · outbound

This paper cites and Zworski M., Potential scattering on the real line, Department of Mathe- matics, U.C.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Zworski M., Potential scattering on the real line, Department of Mathe- matics, U.C

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.691736Z

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Unavailable: canonical work link unavailable.

Observation bd368b4a-4c24-49da-b28e-6d6f6d688937 · outbound

This paper cites C., The zeros of certain integral functions, Proceedings of The London Mathematical Society, 283–302 (1926).

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues C., The zeros of certain integral functions, Proceedings of The London Mathematical Society, 283–302 (1926)

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.695951Z

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Unavailable: canonical work link unavailable.

Observation 09fb7b52-ffee-4ab2-b4b3-8086a06cceb9 · outbound

This paper cites -F., Inverse spectral problems for the Sturm–Liouville operator on a d-star graph, J.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues -F., Inverse spectral problems for the Sturm–Liouville operator on a d-star graph, J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.700760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c752ed7c-e687-4251-acb2-49208c8d6df6 · outbound

This paper cites A., Inverse spectral problems for Sturm-Liouville operators on graphs, Inverse Problems, 21, 1075–1086 (2005).

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues A., Inverse spectral problems for Sturm-Liouville operators on graphs, Inverse Problems, 21, 1075–1086 (2005)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.705027Z

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Unavailable: canonical work link unavailable.

Observation 59f6a405-7290-4754-8d85-8c946deff936 · outbound

This paper cites A., An inverse problem for higher-order differential operators on star-type graphs, Inverse Problems, 23, 893–903 (2007).

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues A., An inverse problem for higher-order differential operators on star-type graphs, Inverse Problems, 23, 893–903 (2007)

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.709029Z

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Observation b0af9640-ce9e-40fc-a434-8e9c4b65d204 · outbound

This paper cites and Shieh, C.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues and Shieh, C

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.712932Z

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Observation c00702b7-de4a-4a90-a388-69d93a125966 · outbound

This paper cites an unresolved cited work.

Topology in One Point Interaction Problem on Extended Non-Local Star Graphs and its Eigenvalues Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T12:56:37.716893Z

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Pith citing papers

No inbound Pith citation observations are available.