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Paper Citation Record · LEDGER

Geometrical optics in phase space

As of 17 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2509.08098.

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

pith.paper-citation-record.v1
2509.08098 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:22:25.489364Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-18T15:17:51.128999Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T15:21:32.974621Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact7
  • verified fuzzy14
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ec06715-25b7-4bec-a290-88c49f357924 · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:31.015048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 43f7073c-4d10-4f45-8229-c5c390aec166 · outbound

This paper cites A geometric theory of waves and its applications to plasma physics.

Geometrical optics in phase space A geometric theory of waves and its applications to plasma physics

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:25.794969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.927013Z digest=sha256:bf1580f32b17c30ec3a0d8a6049095d1daa2f7a7b09aed70cfbd23954f2d8b97

Observation 75f542ef-f8a5-49f7-a71a-4c8491756647 · outbound

This paper cites Ponderomotive forces on waves in modulated media.

Geometrical optics in phase space Ponderomotive forces on waves in modulated media

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:26.485405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.353539Z digest=sha256:fd8fa64d31edef58cc2b275c22357b39e6060f39b56fc27744deb78c9574a93a

Observation 3a1b15b7-2d5a-464b-bd00-d19123ca9f8b · outbound

This paper cites & Kopeck ´y, V.1973 Penetration of high-frequency waves into a weakly inhomogeneous magnetized plasma at oblique incidence and their transformation to Bernstein modes.J.

Geometrical optics in phase space & Kopeck ´y, V.1973 Penetration of high-frequency waves into a weakly inhomogeneous magnetized plasma at oblique incidence and their transformation to Bernstein modes.J

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:27.796856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.857660Z digest=sha256:b12d87266e19bd0b91e165b05f4dc8c7893aa6fb960cf6f56d8c509677553605

Observation 9cc1dc60-eedb-47c1-bbfd-79dac7d20c3b · outbound

This paper cites & Glogower, J.1964 Quantum mechanical phase and time operator.Physics 1,.

Geometrical optics in phase space & Glogower, J.1964 Quantum mechanical phase and time operator.Physics 1,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:27.580224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:25.016694Z digest=sha256:afe9134a665edf4b10e73ceb9772b91a4a1f646ff8528c8c37cfcbe17ff72405

Observation 5de7737b-f590-4abb-807d-1cfec98e3d10 · outbound

This paper cites The Hidden Ontological Variable in Quantum Harmonic Oscillators.

Geometrical optics in phase space The Hidden Ontological Variable in Quantum Harmonic Oscillators

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-04T21:22:25.114482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:22:25.114482Z digest=sha256:1a2582b77e7383770352efcb0fd889dd3aaeb3e92859722de45126cf83f829bc

Observation 7b539c27-fb64-4447-a74b-9ba05fbee91e · outbound

This paper cites R., Brizard, A.

Geometrical optics in phase space R., Brizard, A

Reference 143

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:27.338248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:25.209939Z digest=sha256:53582459fe25fe957e4c88d169a59141d6b8852df2cbd459fb232cd807f2cf0e

Observation a62b56d1-3048-4802-8787-a8429ff378b4 · outbound

This paper cites & Ferry, D.

Geometrical optics in phase space & Ferry, D

Reference 156

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:26.914822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:25.333907Z digest=sha256:9871c88c8b1ad462dd831595a0eb158192367fb802866fc0dcd6405e4978da58

Observation 715add45-47ed-4879-af09-37779865e1cc · outbound

This paper cites G.1985 Symplectically invariant WKB wave functions.Phys.

Geometrical optics in phase space G.1985 Symplectically invariant WKB wave functions.Phys

Reference 193

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:29.174658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.090599Z digest=sha256:adbb7c45516db4929679fa865b10b62397eb3880e6be3c9919c828e1b66702aa

Observation 1cbfd919-dd1a-4b91-a03a-be58a9b37c63 · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 199

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:29.930038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.700935Z digest=sha256:4138fd6871e4d619ca04428f5fb302e0c683af34fadc57ef4f5f5260a31a28f2

Observation 2d41615e-0f7a-426d-b511-a07be2e38340 · outbound

This paper cites Quasioptical modeling of wave beams with and without mode conversion: II. Numerical simulations of single-mode beams.

Geometrical optics in phase space Quasioptical modeling of wave beams with and without mode conversion: II. Numerical simulations of single-mode beams

Reference 271

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:25.650172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:25.398579Z digest=sha256:45f5034593d13103ebd6d96bcee8741a56425d35a7162c5d191e7e2a21a05836

Observation c67ae1ec-ed8c-483a-a56e-ead592078a42 · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 337

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:28.505396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.446933Z digest=sha256:8e77ae6485e7f6d8fed4f5025405b296b6eef6dcf5aadbe3b7cc39e283734541

Observation 59888a6f-42bf-4583-87c4-331d3f5b5cc0 · outbound

This paper cites & Ursell, F.1957 An extension of the method of steepest descents.Math.

Geometrical optics in phase space & Ursell, F.1957 An extension of the method of steepest descents.Math

Reference 517

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:30.347380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.073861Z digest=sha256:83c86e2fa77fad72370678951138db430224ed6fa77bd6ec5b874d339f6470e1

Observation 1d12d6b9-7095-4036-9391-1a0b55091777 · outbound

This paper cites Quasilinear theory for inhomogeneous plasma.

Geometrical optics in phase space Quasilinear theory for inhomogeneous plasma

Reference 599

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:26.609811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.235030Z digest=sha256:343e9e3a5ea383442fa79a928195ffabc424777720ac3abd2a854201095183d5

Observation 07ace0e7-f98d-4b6c-ad5b-733fbdd421cd · outbound

This paper cites Rep.138,.

Geometrical optics in phase space Rep.138,

Reference 669

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:29.472317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.983152Z digest=sha256:008bab0b0901bbdc0ce91675b638a44218ea77dc90d21d10f7af4592d06bd0a6

Observation 0d37ed69-1331-4486-b71a-90df5e6e80b9 · outbound

This paper cites & Kay, K.

Geometrical optics in phase space & Kay, K

Reference 1001

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:26.759114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:25.489364Z digest=sha256:c532eb836ef9370724049e3459e755fd28c80c0aeeba2835b12667880940c58a

Observation bd03693d-3ad5-4937-9327-dedb8ab0a912 · outbound

This paper cites D.1973 Group velocity and nonlinear dispersive wave propagation.Proc.

Geometrical optics in phase space D.1973 Group velocity and nonlinear dispersive wave propagation.Proc

Reference 1077

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:30.152559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.605251Z digest=sha256:22cc6de1dfea2490940800d3187ab745066dc26567a641b07a50d7700e123a41

Observation ed163bfb-e50a-4b1d-bc5f-049e8b4ab871 · outbound

This paper cites Simulation of linear non-Hermitian boundary-value problems with quantum singular value transformation.

Geometrical optics in phase space Simulation of linear non-Hermitian boundary-value problems with quantum singular value transformation

Reference 1139

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:25.916730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.668415Z digest=sha256:ef336556e9d0d50cefdfbfb3b7ab8830b9c8df64deac37b85b64bb2caa522bef

Observation 62826c23-0b76-47c6-9dee-0ed824689481 · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 1279

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:30.871483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:22.760895Z digest=sha256:aca0b277e9f6990db39b29d0e86ae4cbc5f52c8ae3f422d1e06d94af3175e7d0

Observation 9e11a6ea-f412-4f4c-bcab-a87d25ca6c55 · outbound

This paper cites Wigner Function for Harmonic Oscillator and The Classical Limit.

Geometrical optics in phase space Wigner Function for Harmonic Oscillator and The Classical Limit

Reference 1321

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:26.060368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.596778Z digest=sha256:80ba62df42011cab6eb3d7a57eb18053600113c7b6cc766c736d3890eced6095

Observation 432a3c89-fa37-4f53-ae5d-7b2e32a8561f · outbound

This paper cites A., Balakina, M.

Geometrical optics in phase space A., Balakina, M

Reference 1699

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:30.678013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:22.861678Z digest=sha256:004b074f3fbbb146e468092d5332d1f053983ec4f8f3ae20294b9ae7a9783de3

Observation f0e46d26-1fc9-4899-a37f-ab88b1933e1c · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 1742

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:28.969255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.195488Z digest=sha256:830067c293de5d5c0382222212018e3d7382da1668253ab1645c73fd9ba358b3

Observation 260dc121-2219-4445-a350-04a664b25e0d · outbound

This paper cites H.1974 Classical-limit quantum mechanics and the theory of molecular collisions.

Geometrical optics in phase space H.1974 Classical-limit quantum mechanics and the theory of molecular collisions

Reference 2017

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:28.277297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.526572Z digest=sha256:f95e265465b4c58d76d73b8d5c991c1db828d7173741ea8203198a195e9bcbbd

Observation 9a2e27a4-d8be-46ca-a7d5-e0827223cb68 · outbound

This paper cites & de Izarra, C.1997 An integral representation for the product of Airy functions.Z.

Geometrical optics in phase space & de Izarra, C.1997 An integral representation for the product of Airy functions.Z

Reference 2147

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:27.148388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:25.279017Z digest=sha256:de370aa544ca56414a4aa0e70dfddd8c6dee7e78764259d885b1f55cf23f3209

Observation b671e8e5-79e8-433b-81cb-61dd11c6a89b · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 2644

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:28.721675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.344811Z digest=sha256:35b36be50d2e4a99bca327057108fe0563fe4ed8cc1ef7682c786ce02941e065

Observation a0ea0a20-5472-4dc2-8578-5911533ceee0 · outbound

This paper cites Spin Hall effect of radiofrequency waves in magnetized plasmas.

Geometrical optics in phase space Spin Hall effect of radiofrequency waves in magnetized plasmas

Reference 2727

Resolution
verified exact
local_arxiv, observed 2026-08-04T21:22:26.363143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.441647Z digest=sha256:b5c335acd7b3d382adaa4cd0d828d9b5a580bbd2719378f9eac066adc6c86267

Observation f337ecd3-6b24-410f-b153-d612e7ea0b3f · outbound

This paper cites D., F arina, D., Felici, F., Figini, L., Fischer, R., Galperti, C., Happel, T., Lin-Liu, Y.

Geometrical optics in phase space D., F arina, D., Felici, F., Figini, L., Fischer, R., Galperti, C., Happel, T., Lin-Liu, Y

Reference 3529

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:28.041181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.759371Z digest=sha256:18c1f3caa9026ba9bcc6943cbeebe6397f482211dca1cdc1c9a72f9473ebfadc

Observation b1323708-61e7-4637-b1bf-985f69456d0a · outbound

This paper cites D.2022 The Van Vleck formula on Ehrenfest time scales and stationary phase asymptotics for frequency-dependent phases.Commun.

Geometrical optics in phase space D.2022 The Van Vleck formula on Ehrenfest time scales and stationary phase asymptotics for frequency-dependent phases.Commun

Reference 4285

Resolution
verified fuzzy
raw_fallback, observed 2026-08-04T21:22:30.519745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:22.975849Z digest=sha256:30c2aa117cf6c6e1f739b99b8406b559a5a4fa0b189eabd3903e54bdb6a693cb

Observation da2a6b33-aa2c-4226-a72b-4c5ea7f85e6a · outbound

This paper cites an unresolved cited work.

Geometrical optics in phase space Unresolved cited work

Reference 4432

Resolution
unresolved
raw_fallback, observed 2026-08-04T21:22:29.697745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:23.863712Z digest=sha256:d917125c502d241ab47b7de93951d93b181f8d7d10906b4860ab2ca8e70c1b6b

Observation 8ead196a-b97b-4945-a483-89db40e66b15 · outbound

This paper cites Pseudo-differential representation of the metaplectic transform and its application to fast algorithms.

Geometrical optics in phase space Pseudo-differential representation of the metaplectic transform and its application to fast algorithms

Reference 5239

Resolution
metadata mismatch
local_arxiv, observed 2026-08-04T21:22:26.213476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-04T21:22:24.270990Z digest=sha256:d9e6fbd4b1ea32e56b7b3dfd78f461cce31e32ebd27106e66b476348ade9f581

Pith citing papers

Observation eae826bf-8fae-4e84-b473-0ab3e687a0c5 · inbound

A Doppler backscattering diagnostic for the EXL-50U spherical tokamak: plasma considerations and preliminary quasioptical design cites this paper.

A Doppler backscattering diagnostic for the EXL-50U spherical tokamak: plasma considerations and preliminary quasioptical design Geometrical optics in phase space

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:21:32.977200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-18T15:17:51.128999Z digest=sha256:46a3e426e221f22ad23eb7af374ab59713ed3e66f4fd539765aa07efe0d8c584