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Paper Citation Record · LEDGER

Uncertainty principles for free metaplectic transformation and associated metaplectic operators

As of 9 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.03724.

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

pith.paper-citation-record.v1
2506.03724 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:07:04.410298Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4dacbd9e-53d9-4f8c-988d-aa17cabae8d8 · outbound

This paper cites Cazacu, J.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Cazacu, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:07.081638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.493267Z digest=sha256:1f35e9f9f88d16a04f1925ebe494eaedbbc0ed8b7f779b90cd2901bee8c67f76

Observation 18042e9c-e47b-455f-8c96-0bb8de4d03bc · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.074061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.563375Z digest=sha256:e4decacebd7288092e8c6284bfca773799d7604100ebd4837f3b2a082c14b93d

Observation 7ace19b0-6f2f-4d79-84b9-4529bfa92bfa · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.066473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.617169Z digest=sha256:6994354173ea4d62de1b2985eb2a099bf8788b4d2aee74e9ccfae636dce2ccea

Observation 7f64eced-3494-423a-ac58-459b70a316ef · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.058277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.680843Z digest=sha256:1779a821eb7325346b8d8bf211134ef555a8a07e41762dc53e964cf380657c0c

Observation 2dfd2e20-887c-4b47-acff-9b5cfc2b6ec2 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.049083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.756171Z digest=sha256:32a48c71e3d040f5fefe80c4b0222eb6777dad6a92d8a3c2d1d33c1edcba5d02

Observation 9c2b841b-6f25-4b12-9dfd-0d23d17e47ff · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.041212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.822148Z digest=sha256:28da493fa7d266654451dc0c0a39d8ae53fa3a0c52fc353105d740b11ca936c4

Observation f7decd0a-c8dc-4aa6-be29-bdeac491cd7d · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.032130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.894567Z digest=sha256:f16d4164c90aaba78f6160a4587073f7022b0b5ef8c5cbd3e95f63c01f6d9be1

Observation f4247ec3-cbf4-41f6-a033-0805693a3487 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.023067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:01.957754Z digest=sha256:1d161d53d06a871ceccd2ede62e35e1139782abaccda4ba638cbb749c107cea6

Observation 313627ba-e3ea-4ad5-8a97-9e8d50b36804 · outbound

This paper cites Dang and W.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Dang and W

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:07.014916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.013806Z digest=sha256:40e2331ea6448e3d1fb782ac291e58bc2468a8dab59f32674f59c3d9156ff851

Observation 208c063c-ca74-4aa2-bd53-205934f500dc · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:07.005757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.072469Z digest=sha256:4dc42c5497b441604a532ca56f7dc2af5c2d4ee1dde1da4d33618c1a0d467c75

Observation 7fa7b5ac-9f5a-47fc-a08e-899392aae9e7 · outbound

This paper cites C Dias, F.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators C Dias, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.998184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.141067Z digest=sha256:1c5e98a00eb98cf9f4d6a11cf95f43df3fd491db55bdcef14a3b1112af4e9c16

Observation 72871d2f-7be3-4d0f-ac9f-c1a705e90bbe · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.990494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.191668Z digest=sha256:dc1c0f97cd630f7b6e8d30715c7f5e9ddfdab320d927048c5ae5bd8f50089116

Observation 77727a8e-cd82-4b50-af59-cbb18b041d81 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.982932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.248529Z digest=sha256:b37cc707a8500eef380f5f0b2fcadbb354d6545588489d0f7f1bf87af2e3b958

Observation e754ec80-d0ec-4837-919e-954f2330682d · outbound

This paper cites Escauriaza, C.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Escauriaza, C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.975313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.329681Z digest=sha256:e2b093f3ad9f16abbef2d3246b5b583d4122927b30f519b58064de534b4dc6fc

Observation 5b3fc47e-262e-4b67-8ed9-860a720fa4ac · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.967080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.385286Z digest=sha256:e2e3ad90a4f3958802da6fbd65de2e24d7a2b26ed14c5449a497da2de8085a7c

Observation 3f98cb5b-c226-4df4-bf47-7f4eaabae968 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.959000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.470394Z digest=sha256:c99c9744ade238f4cd7fbe1b93d8ad1a5a73bb72320fdd3a68a2180ae4103bf4

Observation 68c8f66d-e289-4ab3-8084-67fcad5e0150 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.950967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.539958Z digest=sha256:1adb97039b95cc7705f4b8581036f4e6b93c4a4bebfcb737bb90e023eb7fa49f

Observation b5be5f00-936b-42d7-bba5-1c83be2f3684 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.942944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.628165Z digest=sha256:84333738d62bde0ca1987948f2ef38fad6cacec0e58cc5e0b90f756ccbd37dab

Observation b72d963e-64a4-4f25-bdc9-9c302991645e · outbound

This paper cites Goh and T.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Goh and T

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.933942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.697146Z digest=sha256:27ac5837a2860e09a1ae0eba2b40764987ff088b33db5facc5195d07365aaa91

Observation 5792dc4a-29a3-45ac-bdcc-ed7ba4266fb7 · outbound

This paper cites de Gosson.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators de Gosson

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.925899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.786037Z digest=sha256:024401643ad299475a4881d0d200ed347c8c33b53a8597e865a2c4915dff4528

Observation ecc7e40b-3fa9-4056-9366-7d78b9b08846 · outbound

This paper cites Heisenberg.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Heisenberg

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.918640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.892991Z digest=sha256:d284a4a0fc1988f7bf896d7c15a43e6a6ba7bd766c6f8ba272eb26480c54971c

Observation 921ec6ea-85f1-430b-ad0a-84e656f90dc6 · outbound

This paper cites Jiang, Z.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Jiang, Z

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.910994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.904502Z digest=sha256:73d4568f3724595a9df165e4d41fa5f4bf4ce43d652e9f5ae5a29573888abe5d

Observation b70028f8-46fd-4244-8d53-facca9b1462b · outbound

This paper cites Jin and R.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Jin and R

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.902789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:02.971909Z digest=sha256:73ad2a05bcf815d38f12905531096d20113c5e8ae137ee75d81348c546da910d

Observation 5c1b43d6-4d3b-4148-bbfb-d5aaa18f97de · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.895153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.074842Z digest=sha256:7406939ce5cd0263dd4bb2f2681808d64b3be1a29c056f9e23af605f438df1ee

Observation 3f1d5c0f-659e-4049-b708-40f78ff92683 · outbound

This paper cites Krist´ aly.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Krist´ aly

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.887072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.241369Z digest=sha256:ecd7077f28dd43d85180c3e0b620b332bd40eed9ab28796ad4f5f68b51dc152d

Observation 6bb10b0f-f9a5-4301-9100-cfdf787ac5c4 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.879541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.320236Z digest=sha256:4268b03d383f4757942e8117ee22517352abf3c967de837a76a371756dbfb8d7

Observation b4f6f446-3a3e-4f18-b8c7-f80e6120a143 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.825764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.449922Z digest=sha256:63179039c88128cfa728572ba4e7d51d6f3e00ef3c30b495b6cbda1bd382b7f8

Observation dae81268-a418-4cbb-be23-0c6f3772d15c · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:06.379281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.560164Z digest=sha256:7fe500669f76449935bdd2bbb70256863f0ff76a2091b830a6770fe0675925f5

Observation 82946fcd-afe8-4f74-8b6c-220e272089af · outbound

This paper cites Sharma and S.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Sharma and S

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:07:06.141231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.634124Z digest=sha256:bb88df7e1104869d16ee7a8a028be2fa6dfe2dad5ba733990e1b17518926f8d3

Observation 776874ab-3fd8-4ec1-b654-dd05a2ab3f2c · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:05.857724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.748618Z digest=sha256:3cac4d00d47464cc27ff0f32185d37a6b0c90691b1a051b1101da1bb46380606

Observation b8d69905-dd35-4704-ba3f-46169f43257a · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:05.737536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.883446Z digest=sha256:21edb342bf8563c56f90162b95f2f1e7d46c305de6a6b8a24ce789c4ccbaf063

Observation c0bce9da-b45c-4efd-a0f3-5aea755fc849 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:05.527957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:03.988335Z digest=sha256:1f5d407699f1b5e371374d4f52a2ffa36552c15d5a9a66cb4c10dce3e67398a7

Observation 0edebfb2-4593-487c-836a-e5edfd63ac9f · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:05.375838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:04.094496Z digest=sha256:a4fa3f64ec138c992d79b17b08de23c851e608cadd063fe00986db6e720ed560

Observation 46ad7c79-7628-4598-9616-0cceb81e0e08 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:05.157531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:04.184643Z digest=sha256:e05982ae68f0f413a6787aed878a80e532700b7c38d384ba686af80a9a80f8a3

Observation ade27fd0-b506-42d2-853e-93fec12dc573 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:04.913206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:04.304344Z digest=sha256:6bea62e00d06a7e1ad94b2415a0a05ba7e5580921b15cb46349558426d8a7af6

Observation 1bb584ad-108a-489b-8792-0d2cf1ae5172 · outbound

This paper cites an unresolved cited work.

Uncertainty principles for free metaplectic transformation and associated metaplectic operators Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:07:04.686118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:07:04.410298Z digest=sha256:a7ced65874178dfabee505760a16395073d3e2f88feeb75ec0a6b242fd219490

Pith citing papers

No inbound Pith citation observations are available.