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Paper Citation Record · LEDGER

A Characterization of Metaplectic Time-Frequency Representations

As of 22 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2505.03218.

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

pith.paper-citation-record.v1
2505.03218 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:04:08.772886Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T09:31:43.237221Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T09:33:17.301402Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy14
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9dd79f79-8d4e-4375-818a-14004ca0287e · outbound

This paper cites Bilinear Time-Frequency Distributions and Pseudodifferential Operators.

A Characterization of Metaplectic Time-Frequency Representations Bilinear Time-Frequency Distributions and Pseudodifferential Operators

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:09.057748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 33c77929-33df-4f31-b288-cc806f83fe42 · outbound

This paper cites Theory of Lie Groups.

A Characterization of Metaplectic Time-Frequency Representations Theory of Lie Groups

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:09.047377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.695638Z digest=sha256:7971f196af5d227e4d9202983451bb194b74fd36394d7fcc6f10fc778e93bdb7

Observation 18175b0d-3739-4907-87c9-b9b6d77955bf · outbound

This paper cites Generalized phase-space distribution functions.

A Characterization of Metaplectic Time-Frequency Representations Generalized phase-space distribution functions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:09.037170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.699187Z digest=sha256:546b40b55ee7cd267f947418329e50544560a7876acf68d375b120418d75f9a4

Observation 88629728-71b0-4757-adb3-202f4ee7cc9a · outbound

This paper cites Time--frequency analysis.

A Characterization of Metaplectic Time-Frequency Representations Time--frequency analysis

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:09.026714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.702916Z digest=sha256:1696c248386c0d9b3dbb2f1a26adbddc983418723f0000eb43673bb4d6a55c8c

Observation 72c40b5c-76ab-4b5d-83a3-b64d3b1cb30b · outbound

This paper cites Time-frequency analysis of operators , volume 75 of De Gruyter Studies in Mathematics.

A Characterization of Metaplectic Time-Frequency Representations Time-frequency analysis of operators , volume 75 of De Gruyter Studies in Mathematics

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:09.016097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.707014Z digest=sha256:45be54b063b7a39483f7bf1046945b291d8ca35f0e57de82cfac10f7cda3c3c7

Observation 45d75912-5110-4710-80c5-eeca2fd1266c · outbound

This paper cites Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes.

A Characterization of Metaplectic Time-Frequency Representations Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:09.006204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.710816Z digest=sha256:8575d056423b41bced84c69187c587b4fed613bad0a0019536481f4ec38a7bb4

Observation f2827750-fb74-4df0-bf7d-b2af01a58263 · outbound

This paper cites Wigner analysis of operators.

A Characterization of Metaplectic Time-Frequency Representations Wigner analysis of operators

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.995902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.715108Z digest=sha256:628f44b41c5214f86424e2fbc7e574905dcb333ca55002329ad509df9127a3d0

Observation b73da862-0099-4752-a0f0-e51e74af107e · outbound

This paper cites Characterization of modulation spaces by symplectic representations and applications to S chr\" o dinger equations.

A Characterization of Metaplectic Time-Frequency Representations Characterization of modulation spaces by symplectic representations and applications to S chr\" o dinger equations

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.986306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.718912Z digest=sha256:12ec39dd378ba53ea19d42806998bceb0e5921aeb3224e0e687667606441eb7d

Observation e50e27ac-d595-407e-a439-e14c96ed3086 · outbound

This paper cites Wigner Analysis of Operators.

A Characterization of Metaplectic Time-Frequency Representations Wigner Analysis of Operators

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.975406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.722292Z digest=sha256:e3285e042489d1dfa406db723d7148bb043c5c6d5d042389df81fa86563c3aee

Observation c9baa02d-2b7c-4e2c-8105-7321e44f29ff · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.964972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.725847Z digest=sha256:1c12eaff71810e18078b72de546faad77f4c98067ce208044b06fe9b6fe6af67

Observation ceae6d1e-c1f8-433e-a5ad-ca66cb6ffd0a · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.955048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.729536Z digest=sha256:6c2ee280b41b73266d31306d4b7d0967829e2fa831f126e8578512d15cd5eb75

Observation d2758cab-8e79-42be-a705-e3156a1df7ad · outbound

This paper cites M., and Vilenkin, N.

A Characterization of Metaplectic Time-Frequency Representations M., and Vilenkin, N

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.944514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.733252Z digest=sha256:5330f5abed15c8084caae7926969d73e6d12354f734fc075739350da8d9c7e54

Observation c47c28d5-dd70-4acc-94e7-f0feee898eb6 · outbound

This paper cites Classical Fourier Analysis , 3 ed.

A Characterization of Metaplectic Time-Frequency Representations Classical Fourier Analysis , 3 ed

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.932090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.737081Z digest=sha256:9fe07afe3b77a4a69f6da965581e5dd430273170308ddd2228378ac84728d483

Observation f759f676-10fb-4e99-af95-d8b807c740e9 · outbound

This paper cites o chenig, K. Foundations of time-frequency analysis . Applied and Numerical Harmonic Analysis. Birkh\.

A Characterization of Metaplectic Time-Frequency Representations o chenig, K. Foundations of time-frequency analysis . Applied and Numerical Harmonic Analysis. Birkh\

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.921049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.740456Z digest=sha256:bd780f5795d9f23cec3f33c553743f41edd5fe24747663eec8b9d8e93f21866e

Observation 55b942be-ae0c-463d-b8a4-9d82f6e118c7 · outbound

This paper cites o chenig, K. Time-frequency analysis of S j\.

A Characterization of Metaplectic Time-Frequency Representations o chenig, K. Time-frequency analysis of S j\

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.909525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.743970Z digest=sha256:48ac3485ce0545ab2c1df62d6e8ca0378ea79bf242b786d9d82ad8717183721b

Observation 5886ea16-566c-4946-8600-a5bf57fb1cab · outbound

This paper cites Benedicks-type uncertainty principle for metaplectic time-frequency representations.

A Characterization of Metaplectic Time-Frequency Representations Benedicks-type uncertainty principle for metaplectic time-frequency representations

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:04:08.827609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.747660Z digest=sha256:1390f9db46f6c3daab4048980b86762c8db41c7174640910efa521118619daa5

Observation 9ce5760f-e420-4c30-922c-cc92b5dfcf09 · outbound

This paper cites More Uncertainty Principles for Metaplectic Time-Frequency Representations.

A Characterization of Metaplectic Time-Frequency Representations More Uncertainty Principles for Metaplectic Time-Frequency Representations

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-16T00:04:08.810204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.751425Z digest=sha256:33017bbdbbdacfb8f5c13eddb71708da1e84c78f1eef08a1e9fbb39842c70374

Observation fe573534-dfbc-4b3c-942c-2c29824996d3 · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.897207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.755216Z digest=sha256:8e36e64cb46d382292254fc14f15c696388bb1cea234af17b9b40058ed704768

Observation 08e9a848-9664-4f11-98af-0a0d4f3c55a8 · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.885607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.758724Z digest=sha256:86cd65648de68c3e8ffb60f73b58759d71053a5862494ceb45a28d31cf53af72

Observation 0b6a6831-d7cb-44d5-bd96-0d48d2aa110f · outbound

This paper cites Real and Complex Analysis , 3rd edition ed.

A Characterization of Metaplectic Time-Frequency Representations Real and Complex Analysis , 3rd edition ed

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T00:04:08.873749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.762117Z digest=sha256:fe1bd5451d69f92a8f6c76926213fbc5a3a1414cbfd13fd6e4d6705e1c79a44a

Observation 2b4d4bfe-77df-404a-9ead-204a6a3e5670 · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.861875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.766184Z digest=sha256:85dd64f787de35bb9e760b5e8e4b4c769a2ad423334e5249129b432f474c48f7

Observation 58ad07d5-4103-4412-ba89-ece488a0a556 · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.851000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.769595Z digest=sha256:89db1ced56ddd33acd99c7ffb43994693a4e5853b740453d37b6530b3a388595

Observation 76e22253-ae45-4a73-bd38-a8d7e6b70807 · outbound

This paper cites an unresolved cited work.

A Characterization of Metaplectic Time-Frequency Representations Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-16T00:04:08.839331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-16T00:04:08.772886Z digest=sha256:d3d007f0e84cd1abe069bcbd6593d045cd8e1bb08b161c9920b3dcf5579df1a5

Pith citing papers

Observation eb58031c-4a2f-42e9-8aa7-ace0c846f2dc · inbound

A quantum harmonic analysis approach to nonlinear time-frequency concentration cites this paper.

A quantum harmonic analysis approach to nonlinear time-frequency concentration A Characterization of Metaplectic Time-Frequency Representations

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-06-29T09:33:17.302786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-29T09:31:43.237221Z digest=sha256:4c7241c794ab9377d6eccb06c74e1f3843e47792b5d341f894d5e7e1496e603c