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Paper Citation Record · LEDGER

Uncertainty principles for free metaplectic transformation and associated metaplectic operators

As of 7 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

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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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.563375Z digest=sha256:836a6b65646e321203ba3968e5bbb07c3e1733cef9c4fb675839d0175b05f27d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.617169Z digest=sha256:91d447e7322211f6a05ea4acf075d9e71f48b13fdb5aac207f1adfd0772eebb6

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.680843Z digest=sha256:382cea102acfc23a3dd0e6a1892b1b5980fc6601c5e17940d8e7d5da120eb940

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.756171Z digest=sha256:625792fc19033c9c21d37fd5f4d664f0ce82d1018161c284e6ecc33700065019

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.822148Z digest=sha256:59530c1f100dc891b04334599700ad018fec6a0d4015e1de3ac1a22b8524d827

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.894567Z digest=sha256:86e2a0cc6d549bd585c7f5ee2f869ba4baaa4daae7b9f8d9be0281a708ead5e1

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:01.957754Z digest=sha256:99c4519dc5be99074f9378fa0bd23af06e6a21b250dfdd2b4ec578af5203e624

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.013806Z digest=sha256:0a600c1d8b74110a778dd96f69141f5d5521d63ee7129004aac11154d39218e4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.072469Z digest=sha256:6cdf79a639e522b4d9d98b364185b8c74a58c96a2c3510027c17e7918f4eb1be

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.141067Z digest=sha256:fd958c9a604f450eb939ae14edc90e044aed7e116b14d382219e7f7c658ddb4b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.191668Z digest=sha256:2c056264483e4adddc651533dfde2da8abee9ddf18f185dbd00b87f693f54f8d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.248529Z digest=sha256:1633bd088ef6ab88577c7f50ed3a66017d7c1707333cfdb8a5353a024314d818

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.329681Z digest=sha256:bfdb4e88266e145e05593f0eb41a59841438da594dead188c1048d682ea19948

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.385286Z digest=sha256:4cf8dd6ee490679eba91427e2e0df4a902473dc6ed1362a202b6ab3d2b804463

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.470394Z digest=sha256:d28b422564238fe5bad3721038268137323e4efcb96ffefd62f38347009f438d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.539958Z digest=sha256:e1e885903b897766d9167f6dd4baa8e71d85383f6d80cc550cb5a92faf096164

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.628165Z digest=sha256:5691e6b031b189341069032034614b121dc4f3f60a3787059094cf4c8d4a1dfb

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.697146Z digest=sha256:3d174c021e6d75ba0d9651cae9c345e526562c0d7952730aaecb5bf59c5b9d77

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.786037Z digest=sha256:cbbec8190e8c9e1ecb006b469487d2fe1d58721440ef9166520e913cc247c978

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.892991Z digest=sha256:a311d52bf3f736d8a10c7fba18f70fd92d1d2c3adcd8784c59bddf129c1bbc92

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.904502Z digest=sha256:d4076243e2a0210165f3500f51399169ed7df0ac9d7cd89c94538da5015024ac

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:02.971909Z digest=sha256:931344156f75a0e8c2b0236b3e339539abfa07ab7b3d4ad0861fd43a9ae78f3f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.074842Z digest=sha256:10d59c294e213334ed19543175fd0898d8b4595ec70b0bd9812632aa9e9b92a8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.241369Z digest=sha256:b1e56049eeb76bfc81319f76ac06d12f6182c0280b23f4de50f2d522fe306909

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.320236Z digest=sha256:21939258c028c4662f490084bf4312fb46214835412e1516bb5a4fdf3b692ae8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.449922Z digest=sha256:0d12b35200a6031af212b448fa166c32e7606554c60726059ee3ad3adc03c14a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.560164Z digest=sha256:d12612be246732a734f869067dbb1a4011ac66afb0ef6b1cbacbb7c3d5b3ba3b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.634124Z digest=sha256:1c55e062e8cef48a208320ee3c08fb73fd1e0ef033c475a85eedd3b232c7f9b4

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.748618Z digest=sha256:fca116b4768f411fc00ba70d6146e1aa4e971bbbfdbcbd5356b280e69e3c9c3f

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.883446Z digest=sha256:af43e63af980dfc152f6dea1108825ed2cd027bda6683373a4c32e39cded2a85

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:03.988335Z digest=sha256:bd10549ef9114401a89de0407669b91f50f742cd5210a4c371eced0dbe146f80

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:04.094496Z digest=sha256:23eb6bed63de0650d2287b5e0129d4aaaa7021c5cc0559ed643dbeccd1efff14

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:04.184643Z digest=sha256:40b2f85939b822e6fb9037628f6e85d0715ce07ffe256619c564a031caa6470d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:04.304344Z digest=sha256:bb8bb4e080d33bc44cb119e1d04c143debda7d24a80ad8f772efc7666030f148

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:07:04.410298Z digest=sha256:28ed53e45c7a87af3f9323bcd61d7e8498fc5e40e2cd8cc17c2efc057adc115b

Pith citing papers

No inbound Pith citation observations are available.