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Paper Citation Record · LEDGER

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product

As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.14391.

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

pith.paper-citation-record.v1
2411.14391 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:20:52.567436Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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 exact0
  • verified fuzzy19
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f84385b-34d3-44d2-be6c-586ef423a330 · outbound

This paper cites Bayen, M.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Bayen, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:53.088798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation db5de87c-2f00-4868-be24-2710f374315b · outbound

This paper cites Bopp, La m´ ecanique quantique est-elle une m´ ecaniqu e statistique particuli` ere? Ann.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Bopp, La m´ ecanique quantique est-elle une m´ ecaniqu e statistique particuli` ere? Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:53.069394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 3dced18a-4d0a-4817-a4df-c69eebc4effc · outbound

This paper cites Cordero, G.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Cordero, G

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:53.050898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1f32468b-e073-41b3-ad3e-c079fd221b15 · outbound

This paper cites Cordero and L.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Cordero and L

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:53.034904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.442289Z digest=sha256:637a5fd950412e01dbf16653996294564ad4c28fee468cc59f005291523fb9f6

Observation 051e0f9e-c6b0-4177-b332-56d139486434 · outbound

This paper cites Dito, Deformation Quantization on a Hilbert Space, Wo rld Scientific, pp.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Dito, Deformation Quantization on a Hilbert Space, Wo rld Scientific, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:53.017492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.447296Z digest=sha256:495ca934f9c7e997203fda4b0ab0ad7f4f92f30cf8600fa9a3216c22dbb9d4fd

Observation 98d1fa34-3c59-41bb-8f5c-4af626ccf362 · outbound

This paper cites de Gosson.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.998015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.453652Z digest=sha256:68973e567be6e72d9cbfd1c97f1ba8cf2b8364972529e3e54144d524d0562402

Observation 0d6289be-a904-4dd6-906e-a533c5340874 · outbound

This paper cites de Gosson.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.981460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.459216Z digest=sha256:93d96a4a319aeec7a6ff2bfc14521a4960a0e222188a0066745b3af079d99bdd

Observation 145e43e6-fa1d-4f34-986d-cc4f43a074fe · outbound

This paper cites de Gosson.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.965358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.465226Z digest=sha256:b8a2f396563d45a1439ae0a4b16c7322bb89cfc95d0512424833787b2590130f

Observation b4ab18e9-bc09-420f-8842-43bee68f7b6f · outbound

This paper cites de Gosson, Symplectic Methods in Harmonic Analysis and in Math- ematical Physics.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson, Symplectic Methods in Harmonic Analysis and in Math- ematical Physics

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.949179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.470461Z digest=sha256:ee0b2f7f3d56131ef7e0052fa268aa92d8404f29b40a535949354b651f004729

Observation 7cd11c11-923b-42fa-8f3c-acb133830868 · outbound

This paper cites de Gosson, Spectral Properties of a Class of Generali zed Landau Operators.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson, Spectral Properties of a Class of Generali zed Landau Operators

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.932493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.475327Z digest=sha256:435ae3f908be12c1d3f87a14543afd0cd63de05297fc7b4355a866d9210c2387

Observation d20bc963-1e30-4e5d-a616-084c80a61e7f · outbound

This paper cites de Gosson.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T15:20:52.481267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:20:52.481267Z digest=sha256:de9ffbd0e39051c0a697f2598a8e0e75c378a5501bcc542bd7369b6653622ede

Observation f960fa6d-649b-4971-b920-d0a8ae45533f · outbound

This paper cites Operator Theory: Advances and Applica tions.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Operator Theory: Advances and Applica tions

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.902573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.486943Z digest=sha256:9d09e292e5d3ca7129ef5ad920a3ff38bd2cb6502b90da1bb320417977316cf5

Observation 3611c502-a696-4121-88a0-6882d2d9e112 · outbound

This paper cites A de Gosson, Symplectically covariant Schr¨ odinger equation in phase space, J.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product A de Gosson, Symplectically covariant Schr¨ odinger equation in phase space, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.881378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.492722Z digest=sha256:41129812d41728a5205c5d0fc7d9bf5ec513bf93a98a7f0b1d27b7ad8e6e0410

Observation c330e17b-aa73-434b-b9cb-ed747d55b8e1 · outbound

This paper cites de Gosson and F.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson and F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.862742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.498385Z digest=sha256:68d360cc2d3cebba58272757558d5be28bed2eca69f4afaa25ed4a726e408db9

Observation 9d1deda0-0d65-41ed-8c68-7778fc1f180f · outbound

This paper cites de Gosson and F.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson and F

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.844778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.504318Z digest=sha256:f80272a6ea2d25f07a3108739e7d0a32c82be0bd9a2166cd43d517bf3f9f2f9a

Observation d909a237-4ed0-42c8-b06e-2dbaa9b8373f · outbound

This paper cites de Gosson and F.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson and F

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.827285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.511002Z digest=sha256:ca8333ada8e3efad15c6189eebfb96057072c314b78b05ace7b1f332638c5998

Observation 43a9a8b9-49c8-4a28-a63f-0ad3da2c0561 · outbound

This paper cites de Gosson and F.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product de Gosson and F

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.810460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.517224Z digest=sha256:42c307acf740231e14184fe318eda987661142d756f667142ba8e204a90075e1

Observation 1e7eb2d3-8417-4969-925b-7277a0d7db83 · outbound

This paper cites Gr¨ ochenig, Foundations of Time-Frequency Analysis , Birkh¨ auser, Boston, (2000).

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Gr¨ ochenig, Foundations of Time-Frequency Analysis , Birkh¨ auser, Boston, (2000)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.793008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation f8fbc768-c82f-470b-89d2-7f7a51cd3116 · outbound

This paper cites an unresolved cited work.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:20:52.768842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 67ad0dde-694b-4464-bd49-34c534753f65 · outbound

This paper cites an unresolved cited work.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:20:52.743980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation ebae075e-16a4-485c-931e-5512a6b8641a · outbound

This paper cites an unresolved cited work.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:20:52.715103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 1b9d2b78-4244-49c7-831e-a2b7e1777db9 · outbound

This paper cites an unresolved cited work.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:20:52.696113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.543234Z digest=sha256:ba68b4b227bae7496f62941302289b7e3ffe4300760afc00f717c8872fc80732

Observation b3d6a21e-5e13-4406-9820-15593b9b69c3 · outbound

This paper cites Voros, Asymptotic h-expansions of stationary quant um states, Ann.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Voros, Asymptotic h-expansions of stationary quant um states, Ann

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.674501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.548253Z digest=sha256:ad31c50e9605f939b8a305bb326edce68c141ff9f49175034fa174f14c8388b2

Observation bc10a468-7261-4fe1-9fb5-4ee6dcd80f6a · outbound

This paper cites Voros, An Algebra of Pseudodifferential Operators and the Asymp- totics of Quantum Mechanics, J.Funct.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Voros, An Algebra of Pseudodifferential Operators and the Asymp- totics of Quantum Mechanics, J.Funct

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:20:52.653787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7ab3d9bb-858e-47e9-a445-82d662f8cc6c · outbound

This paper cites an unresolved cited work.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:20:52.636089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.560377Z digest=sha256:a4c0df42c56acab3863c7281d1078f009110e98f986d6e5b7bb41c85f7fcb015

Observation 91c2358b-659b-4fe3-9d0c-cf088f9a0417 · outbound

This paper cites an unresolved cited work.

Phase Space Representation of the Density Operator: Bopp Pseudodifferential Calculus and Moyal Product Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T15:20:52.618809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-12T15:20:52.567436Z digest=sha256:f0f6604e01ec06afec5eff8d11068cd435d35b8a1f17edb2bf39fa89dc923cda

Pith citing papers

No inbound Pith citation observations are available.