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Paper Citation Record · LEDGER

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

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.442289Z digest=sha256:746e5040fa71767a4e23179429982dea41f7a86ca991e47effdd51df50501d31

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.447296Z digest=sha256:d62d79f7eda5a32c1432c1e496ea08abf9671c5caee15ca9cb01c621815b2593

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.453652Z digest=sha256:91dc19312f561e48f39e4f704d14f7c51eeeb10aa13162efef46c90a4542e298

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.459216Z digest=sha256:6649f3264c19e49e73d000baef9b2c63ecd8905a07b08a35f30752ece2aedf43

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.465226Z digest=sha256:93156e5505f18343a09e34b9656e771a1863b6ece2fa5edd2a955ffb0454713e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.470461Z digest=sha256:7ff104747cbac3fcc0fa715b497b54bec546fb8ff7cf9e5c654aae0308f50e49

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.475327Z digest=sha256:b768583be543f55ba549a11cdb77a88642597beb658259dd1e9d6adac144b45e

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.486943Z digest=sha256:101aa37733cd7f7e9af0eb77fd83667bb7b72317347b0cb459318ce9c181c48a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.492722Z digest=sha256:472f21b82343daa88a6f6bc128392d7c37ef36b02fa65bafc0c40c777cb2ae63

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.498385Z digest=sha256:1358520a775f0f2b230e9e2a5b85f9598d5a423993c8e57efce2b7825f83b921

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.504318Z digest=sha256:ee5ab920d3ae6fa6299f76847336aa159b45d60351bae03038fdd80ebf097e97

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.511002Z digest=sha256:07c74edc00be8b10c9d1e0bf39a61291d208a92f97d7d0bd1ea9337fa9997430

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.517224Z digest=sha256:b5149516af61b6dba29f792e8959cd7456ae3176e0390cc9154740def9984cec

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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.543234Z digest=sha256:0e30cb6366391cca3bea4124933140b892073f1e044e932a4a96cdd18c55d651

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.548253Z digest=sha256:e54bb5d0be8b2c6aa8a95b4471e1f8aa28035a3a2ef25f8f682b5c9ee02c759a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.554013Z digest=sha256:0ed31dfbc3830fe43916e97bfd32a2dd0fdd4a357cb3b25f76f3d1f6deaf2b3f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.560377Z digest=sha256:e0de9f38aaf2c4340b7a3518358884fe02e14e796f546ff35b86453a457840ef

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-12T15:20:52.567436Z digest=sha256:829e2d662cf24fb8478d8b636cb34a2de85c4144a4667f74d634e8bb6d258f4a

Pith citing papers

No inbound Pith citation observations are available.