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Paper Citation Record · LEDGER

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2505.21691.

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

pith.paper-citation-record.v1
2505.21691 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:35:51.366083Z

measured 19 of 19 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 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cefb348e-d4c2-42f2-a930-58b8562adc2b · outbound

This paper cites Haykin, Digital communication systems , John Wiley & Sons, 2014.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Haykin, Digital communication systems , John Wiley & Sons, 2014

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:55.317154Z

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 eb48e8c1-a319-4a02-9249-4a3b01076c0f · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:55.098433Z

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=2026-08-07T13:35:49.315045Z digest=sha256:b7c35db522b204ef3fac4f0e9f6039efd529f286c14808a0785ec05ecbe33c71

Observation 6b464d4f-633d-4e2b-ab65-949be6561d40 · outbound

This paper cites Atlas and P.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Atlas and P

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.902188Z

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=2026-08-07T13:35:49.411028Z digest=sha256:52ab15c4606831e41bf36dc8b4cfe9c6a527189da22946a0f2afc808232079c5

Observation 4d72fd70-96e1-46f4-8edb-5c6f6fd536ec · outbound

This paper cites Orthogonal time frequency space modulation,.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Orthogonal time frequency space modulation,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.581647Z

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=2026-08-07T13:35:49.517461Z digest=sha256:9ef52dc1be47407ff8f30356505041faed8cc9b04f44671bf44ae8fc8dc60bac

Observation e2eaa851-e6d1-46c6-b16e-6fd4341ada09 · outbound

This paper cites Interferen ce cancellation and iterative detection for orthogonal time frequency space modulation,.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Interferen ce cancellation and iterative detection for orthogonal time frequency space modulation,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.379095Z

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=2026-08-07T13:35:49.608217Z digest=sha256:e996179e01b14af85bbb8a06ff5f5b12f0c5e1ae94dda1c3ef70bb8fce426f11

Observation e2da3b7a-1602-49d1-a523-0e1071ba135d · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:54.213585Z

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=2026-08-07T13:35:49.714576Z digest=sha256:d6134b9c4994c86e97e3ce216ec8e54187b3a4401e7b4f3fe8a317c275ed260a

Observation 1be3f5ad-022d-4dfb-b5f7-feadd9704fe2 · outbound

This paper cites Aldababsa, S.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Aldababsa, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:54.018146Z

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=2026-08-07T13:35:49.843312Z digest=sha256:b572bfeaf3bf05e4e86535e5b5c34234dd8a66afa9673b49b0ebcfdc98e371bf

Observation 5982a47f-927d-49aa-873e-bec0552c092a · outbound

This paper cites Mallat, a Wavelet Tour of Signal Processing.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Mallat, a Wavelet Tour of Signal Processing

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.800927Z

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=2026-08-07T13:35:49.964760Z digest=sha256:fca4bd6facecc29f09a98682b0153507368a9823c1be7952fa274e0162e59a28

Observation 6029c62a-68e1-49d1-b38e-a8b828e0231b · outbound

This paper cites Structured compressed sensing : from theory to applications,.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Structured compressed sensing : from theory to applications,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.563318Z

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=2026-08-07T13:35:50.105713Z digest=sha256:a8652458972e4f777e9dbe7523bf8987b3bcaaacf4826b14e432b17946d1002a

Observation 11066e2d-a993-4c2c-8dfa-32b005f6f391 · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:53.403685Z

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=2026-08-07T13:35:50.234773Z digest=sha256:5d07dd2a25d8e94abb7ecb0d9ec1d508c77e7d325883ad03f54e07957d443a47

Observation 4741863b-4e1e-4eef-a5e1-50672d1b6175 · outbound

This paper cites L´ opez-Ben ´ ıtez and F.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing L´ opez-Ben ´ ıtez and F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:53.158806Z

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=2026-08-07T13:35:50.369988Z digest=sha256:302f061ce1e63c62764de1489f2e752f378360b70147ac5c42e48b3ff6c2e7d9

Observation f3557645-7d46-4cd1-b762-919236bfd56a · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:52.884459Z

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=2026-08-07T13:35:50.533421Z digest=sha256:b54049dd76da28c34e28f4d8c10765abca1769ae545b730fad661d3a58939c6e

Observation f856c00d-de8e-46fb-bbec-ae23a3dc0a1a · outbound

This paper cites Boashash, Time-frequency signal analysis and processing|a comprehensive reference.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Boashash, Time-frequency signal analysis and processing|a comprehensive reference

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.638378Z

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=2026-08-07T13:35:50.654296Z digest=sha256:90c03bae2491ceacdf3cd7928528b378c0ce12954c9721b266809ea44d4fdcc2

Observation a0acc17d-a739-4dbd-9078-efd4470fade3 · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:52.467349Z

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=2026-08-07T13:35:50.767197Z digest=sha256:c61c71d03d59b2094ac0e2db0b6ebab480b3bfbe4c0b429dab32fe225b64b796

Observation dd0430c4-9dfe-41d8-ae86-f9213e798711 · outbound

This paper cites Abramowitz and I.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Abramowitz and I

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:35:52.237601Z

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=2026-08-07T13:35:50.907729Z digest=sha256:60d69559b3182d8dc6d4eba113c5f84d225ec4063fe0dbbc1747d2f932c4d422

Observation 97c27f35-2a69-4046-979d-051ba6311dee · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:52.052311Z

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=2026-08-07T13:35:51.043654Z digest=sha256:c09e2b0d953d89e0c46d459ea02beeb23e0a76e0361d54978b056f77119e2160

Observation db9b6073-f65b-4401-844e-ef92ed2410c2 · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T13:35:51.151904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:35:51.151904Z digest=sha256:e050bf9c3e4098e047d5637acc883d0fa8718a35edf8d406a319cca90a87e8a7

Observation 593b5369-b82f-47fc-8f92-60628aa5f1e8 · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:51.757116Z

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 e03b4d14-619c-458f-967c-6a74aff81fa4 · outbound

This paper cites an unresolved cited work.

Gauss-Ramanujan Functions: Constructions, Properties, and Applications in Communications and Signal Processing Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:35:51.574755Z

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=2026-08-07T13:35:51.366083Z digest=sha256:4dfe514e37e37d27004b7a72932e89956aa738720a14794b35ccf7317fe75940

Pith citing papers

No inbound Pith citation observations are available.