Paper Citation Record · LEDGER

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry

As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2608.11111.

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

pith.paper-citation-record.v1
2608.11111 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T06:14:29.783066Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

26 of 26 outbound references displayed

verified exact1
verified fuzzy23
unresolved2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b4bc1d90-37e5-4591-bbf7-89c71b06c877 · outbound

This paper cites Borg, Eine Umkehrung der Sturm--Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte, Acta Math.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Borg, Eine Umkehrung der Sturm--Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte, Acta Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.242459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ecad55e6-f6e9-492b-8730-99f8630570bb · outbound

This paper cites Cannas da Silva and A.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Cannas da Silva and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.226826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 90fe9100-8d36-473a-b5de-4d8e6117e0a1 · outbound

This paper cites Charles and S.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Charles and S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.204870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2622a8a2-bb9a-4b85-bfa0-131d0a3bb627 · outbound

This paper cites The semi-classical spectrum and the Birkhoff normal form.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry The semi-classical spectrum and the Birkhoff normal form

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-12T06:14:29.665973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cb3f608-a278-49a5-bb82-2bc3aee5a0b7 · outbound

This paper cites Colin de Verdi\`ere, A semi-classical inverse problem II: reconstruction of the potential, in Geometric Aspects of Analysis and Mechanics, Progress in Mathematics, vol.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Colin de Verdi\`ere, A semi-classical inverse problem II: reconstruction of the potential, in Geometric Aspects of Analysis and Mechanics, Progress in Mathematics, vol

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.185579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 77b0775b-44d0-4517-b0bd-a0875e0f960a · outbound

This paper cites Colin de Verdi\`ere and V.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Colin de Verdi\`ere and V

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.166316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ab176f7c-4787-4c03-a83c-6110a19a9b16 · outbound

This paper cites De Simoi, V.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry De Simoi, V

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.144779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 699ed2ad-6609-4797-96b4-7450be353954 · outbound

This paper cites Guillemin and H.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Guillemin and H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.128429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b022bd29-5baa-4941-9b37-3afdf5f20ec4 · outbound

This paper cites Guillemin and A.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Guillemin and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.108202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9e65bd48-af93-4a09-a32d-eae21c13e244 · outbound

This paper cites Guillemin and A.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Guillemin and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.092001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5a4a96aa-6b90-41c0-aa86-b0193dc7f52c · outbound

This paper cites Guillemin, T.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Guillemin, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.076320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 127cfd0b-51c6-4113-8890-81775566e5f6 · outbound

This paper cites Guillemin and Z.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Guillemin and Z

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.062489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 33605ed7-960a-4b4a-ba01-2985b63120d2 · outbound

This paper cites Hezari, Inverse spectral problems for Schr\"odinger operators, Comm.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Hezari, Inverse spectral problems for Schr\"odinger operators, Comm

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.047931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f7bef705-4cdd-4dee-9a36-48705c2ee32e · outbound

This paper cites Hezari and S.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Hezari and S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.033699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 58a66c13-2d3d-4b19-818f-71c3153f4c38 · outbound

This paper cites Iantchenko, J.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Iantchenko, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:30.017827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e00475c2-0b9c-480c-9c14-736adf5cb06c · outbound

This paper cites Kac, Can one hear the shape of a drum?, Amer.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Kac, Can one hear the shape of a drum?, Amer

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.996149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 217ec1ae-ea74-4bd1-b318-35d7a2014e69 · outbound

This paper cites Kriegl and P.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Kriegl and P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.980666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 981e2a0f-8c77-4229-89d8-92e27f758e11 · outbound

This paper cites Levinson, The inverse Sturm--Liouville problem, Mat.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Levinson, The inverse Sturm--Liouville problem, Mat

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.965389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6de43c88-e565-4749-8796-af6a08c7cfc8 · outbound

This paper cites an unresolved cited work.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T06:14:29.951106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5ca19c6c-499e-4bc9-8c21-630f537595e4 · outbound

This paper cites Otal, Le spectre marqu\'e des longueurs des surfaces \`a courbure n\'egative, Ann.\ of Math.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Otal, Le spectre marqu\'e des longueurs des surfaces \`a courbure n\'egative, Ann.\ of Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.937349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7ab3b0e3-7b3c-4a79-9b5d-6804b1e8ff16 · outbound

This paper cites V \ u Ng o c, The quantum Birkhoff normal form and spectral asymptotics, Journ\'ees \'Equations aux d\'eriv\'ees partielles (2006), Expos\'e no.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry V \ u Ng o c, The quantum Birkhoff normal form and spectral asymptotics, Journ\'ees \'Equations aux d\'eriv\'ees partielles (2006), Expos\'e no

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.921727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 434c981e-7f2b-4685-9745-dcbf30ce1c27 · outbound

This paper cites An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T06:14:29.834240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a09595d-d810-495a-8525-f6d6ea2a6257 · outbound

This paper cites West, A pair of non-isometric potentials with the same semiclassical invariants, J.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry West, A pair of non-isometric potentials with the same semiclassical invariants, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.907084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 246cb11d-96e8-4308-8703-3992660d23e3 · outbound

This paper cites Zelditch, Inverse spectral problem for analytic domains, II: $ Z_2$-symmetric domains, Ann.\ of Math.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Zelditch, Inverse spectral problem for analytic domains, II: $ Z_2$-symmetric domains, Ann.\ of Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.892357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 321342a4-385d-487a-8769-c24a07d87e39 · outbound

This paper cites Zelditch, Survey on the inverse spectral problem, Notices of the International Congress of Chinese Mathematicians 2 (2014), no.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Zelditch, Survey on the inverse spectral problem, Notices of the International Congress of Chinese Mathematicians 2 (2014), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.873808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d37ffbce-980d-46a0-9f10-ed2011f91212 · outbound

This paper cites Zworski, Semiclassical Analysis, Graduate Studies in Mathematics, vol.

Generic Spectral Determination of Semiclassical Schr\"odinger Operators with $\mathbb Z_2$-Symmetry Zworski, Semiclassical Analysis, Graduate Studies in Mathematics, vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T06:14:29.860123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

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