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Paper Citation Record · LEDGER

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators

As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2608.04796.

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

pith.paper-citation-record.v1
2608.04796 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:35:09.673127Z

measured 12 of 12 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T06:14:29.757967Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T06:14:29.826183Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f107af6-827d-4ce4-9c15-0fb77dee626a · outbound

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

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators The semi-classical spectrum and the Birkhoff normal form

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-06T16:35:09.914266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:08.667408Z digest=sha256:c78de82f778436749205a185f8e9000a57fa340a48e10ac17c7be903e502e992

Observation 8634d46e-f2bf-4f8f-a80e-f8c6e4623d51 · outbound

This paper cites Colin de Verdi` ere and V.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Colin de Verdi` ere and V

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:11.826602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:08.779756Z digest=sha256:15a8f19f9336fa28c64eb383b1084c95ffb23f3a52b1bc850736703755d6b194

Observation 0c1b6df7-d81d-4b8d-b332-b642043be167 · outbound

This paper cites Dimassi and J.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Dimassi and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:11.634531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:08.893253Z digest=sha256:615beb15671f3237eae68336c5f16b05c3285209519856e8120caedf7e3cdaeb

Observation 652482c7-0191-4071-b9de-b864b20a06fc · outbound

This paper cites Guillemin and H.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Guillemin and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:11.447490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:08.998476Z digest=sha256:fcfa5cbb0f61a086cb41d4c7c465d0205665f372f5cf18a30908a8caf5c7ad6b

Observation e04e9e55-833b-495e-a32e-ee0eb5d5f5d2 · outbound

This paper cites Bottom of the well.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Bottom of the well

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:11.261672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.070296Z digest=sha256:da9ab4b9db01d0489c9facc8e23d50837b4ec41c49aa3ee14d430372956c9599

Observation e1d00605-8b74-4067-929a-aed200eb7555 · outbound

This paper cites Guillemin and A.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Guillemin and A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:11.099611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.175915Z digest=sha256:d541ae43fa1d1e2b7cd01fe930d94f6d396b17b25ebe5786b968c587b9f163d3

Observation 43572930-69f5-4cb6-b984-f5e3eb6285a8 · outbound

This paper cites Guillemin and A.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Guillemin and A

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:10.920915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.267445Z digest=sha256:20174212d2b16e9a889779452ed7fd179af9fab6e85f8dfe0748cb0a286b686c

Observation d7076dab-189b-40a7-8fe7-8a45b801240b · outbound

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

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Hezari,Inverse spectral problems for Schr¨ odinger operators, Comm

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:10.727331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.360303Z digest=sha256:69901381ede04caf2559ecedf500635751f5e98f00249ba9869ede8747355032

Observation 73a56813-bb7c-4476-8beb-d1461ff7f95a · outbound

This paper cites Iantchenko, J.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Iantchenko, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:10.548185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.486698Z digest=sha256:d3d6955db1d5a7c0113637ae257dd07cf335e2c7bc7a1c8c83803dfda0b80328

Observation 396b89fe-730c-4353-81a8-8bcc594f947c · outbound

This paper cites Vu Ngoc,The quantum Birkhoff normal form and spectral asymptotics, Journ´ ees ´Equations aux d´ eriv´ ees partielles (2006), 1–12.

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators Vu Ngoc,The quantum Birkhoff normal form and spectral asymptotics, Journ´ ees ´Equations aux d´ eriv´ ees partielles (2006), 1–12

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:10.354850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.602087Z digest=sha256:a7b0f4feb3cd146459ef9737376c67868bb73658f873f190d7ff8af748bdb066

Observation 8e0b9c24-79f4-4ccb-9022-2c8bcdf93925 · outbound

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

An Inverse Theorem for Partially Symmetric Two-Dimensional Semiclassical Schr\"odinger Operators West,A pair of non-isometric potentials with the same semiclassical invariants, J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:35:10.157003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:35:09.673127Z digest=sha256:c84b48bb1840677573052197ef4478e280a50533f3ffe6df24c8b492f81925f3

Pith citing papers

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

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

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T06:14:29.757967Z digest=sha256:495d171bf71b7a3e679b797b10794347052fe36ad3010d6e65ee14272f028995