Paper Citation Record · LEDGER

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2505.22847.

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

pith.paper-citation-record.v1
2505.22847 v1

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T13:19:11.377583Z

measured 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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verified fuzzy4
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External citation measurements

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Outbound references

Observation 594cff85-ed7a-467f-af2f-c86b79322175 · outbound

This paper cites Andersen and Persi Diaconis.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Andersen and Persi Diaconis

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:19:16.996696Z

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.

Observation 8e6056e4-1b11-43e2-a409-3214e346e939 · outbound

This paper cites Convexity and commuting Hamiltonians.Bulletin of the London Mathematical Society, 14(1):1–15, 1982.doi:10.1112/blms/14.1.1.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Convexity and commuting Hamiltonians.Bulletin of the London Mathematical Society, 14(1):1–15, 1982.doi:10.1112/blms/14.1.1

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:08.099190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bde1726f-08c3-4776-8bc4-483893447b35 · outbound

This paper cites Benedetto and Matthew Fickus.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Benedetto and Matthew Fickus

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:08.175649Z

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Observation b07fe0d4-a703-4878-937a-854457fe6b2d · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:19:16.818136Z

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

Observation 2ceb3b05-faf2-4ad6-8663-4b845e678d10 · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 5

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:19:16.345164Z

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Observation a6f5d4f5-ecc0-4258-9f43-b2fe4f8c6019 · outbound

This paper cites Mixon, Miriam J.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Mixon, Miriam J

Reference 6

Resolution: verified exact; doi, observed 2026-08-07T13:19:14.360894Z

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.

Observation 04e880b5-5e87-429c-939f-6130c80bf259 · outbound

This paper cites A fast direct sam- pling algorithm for equilateral closed polygons.Journal of Physics A: Mathematical and Theoretical, 49(27):275202, 2016.doi:10.1088/1751-8113/49/27/275202.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry A fast direct sam- pling algorithm for equilateral closed polygons.Journal of Physics A: Mathematical and Theoretical, 49(27):275202, 2016.doi:10.1088/1751-8113/49/27/275202

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T13:19:14.099930Z

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Observation 6ea461fe-bdb0-403c-9b36-97ecf274f522 · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T13:19:13.901789Z

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Observation 29116d27-2d7b-4293-8464-5adb352db5bc · outbound

This paper cites The symplectic geometry of closed equilateral random walks in3-space.The Annals of Applied Probability, 26(1):549–596, 2016.doi:10.1214/15-AAP1100.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry The symplectic geometry of closed equilateral random walks in3-space.The Annals of Applied Probability, 26(1):549–596, 2016.doi:10.1214/15-AAP1100

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T13:19:13.697378Z

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Observation 6131cb19-f3ae-485f-a560-5b00321997ee · outbound

This paper cites Casazza and Jelena Kovačević.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Casazza and Jelena Kovačević

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T13:19:13.420621Z

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

Observation edbbef51-e63b-4f60-a2bd-f76de952baa6 · outbound

This paper cites Casazza and Manuel T.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Casazza and Manuel T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:19:16.088153Z

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Observation 58c61cf5-f81c-49ce-b109-f8151ba96643 · outbound

This paper cites Number 1764 in Lecture Notes in Mathematics.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Number 1764 in Lecture Notes in Mathematics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:09.326006Z

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Observation efc651d4-5052-46bf-bb2d-8fc2f6167c18 · outbound

This paper cites Duistermaat and Gerrit J.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Duistermaat and Gerrit J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:09.443076Z

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Observation fe442589-63c5-40df-86c0-ca73f80df372 · outbound

This paper cites Manifold structure of spaces of spherical tight frames.International Journal of Pure and Applied Mathematics, 28(2):217–256, 2006.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Manifold structure of spaces of spherical tight frames.International Journal of Pure and Applied Mathematics, 28(2):217–256, 2006

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:19:15.883292Z

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

Observation 23d28b38-0940-49c8-8c25-311c6cce7d85 · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T13:19:13.114285Z

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Observation e8161e73-63bb-4b67-878d-d1fc22a4c23c · outbound

This paper cites FUNTF-Sampler.https://github.com/masonfaldet/FUNTF-Sampler, 2025.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry FUNTF-Sampler.https://github.com/masonfaldet/FUNTF-Sampler, 2025

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:19:15.695824Z

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Observation 53c4f939-a74d-4ad5-bea3-7f873c1b150f · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 17

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:19:15.466855Z

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.

Observation 8d29174f-44d9-4368-b692-131df22e35c3 · outbound

This paper cites Mixon, Miriam J.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Mixon, Miriam J

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T13:19:12.905452Z

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.

Observation 25d18865-5d28-41a3-ab74-42c02407e966 · outbound

This paper cites Goyal, Jelena Kovačević, and Jonathan A.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Goyal, Jelena Kovačević, and Jonathan A

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:10.052229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d411bdd-5938-4467-8b89-3efa489fc755 · outbound

This paper cites Convexity properties of the moment mapping.Inventiones Mathematicae, 67(3):491–513, 1982.doi:10.1007/BF01398933.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Convexity properties of the moment mapping.Inventiones Mathematicae, 67(3):491–513, 1982.doi:10.1007/BF01398933

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:10.136099Z

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Observation 97d079fa-96b1-4a8e-bd03-4b92527edc03 · outbound

This paper cites Polytopes of eigensteps of finite equal norm tight frames.Discrete & Computational Geometry, 56(3):727–742, 2016.doi:10.1007/s00454-016-9799-x.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Polytopes of eigensteps of finite equal norm tight frames.Discrete & Computational Geometry, 56(3):727–742, 2016.doi:10.1007/s00454-016-9799-x

Reference 21

Resolution: verified exact; doi, observed 2026-08-07T13:19:12.666458Z

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

Observation ba4ca33c-72aa-4408-8233-fc57b343cb01 · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T13:19:12.495814Z

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Observation 350a9e09-a490-4dcd-88b2-cac516892b9f · outbound

This paper cites Hitchin, Anders Karlhede, Ulf Lindström, and Martin Roček.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Hitchin, Anders Karlhede, Ulf Lindström, and Martin Roček

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:10.432139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03480fe7-6edf-4261-9320-85055ad87675 · outbound

This paper cites Holmes and Vern I.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Holmes and Vern I

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T13:19:12.241068Z

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

Observation 1a2931aa-ae5e-4faa-ac14-47c45ddfc54c · outbound

This paper cites King, and Dustin G.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry King, and Dustin G

Reference 25

Resolution: verified exact; doi, observed 2026-08-07T13:19:12.087845Z

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

Observation d6f90bee-95da-47d9-9449-88021e30ac9f · outbound

This paper cites Reduction of symplectic manifolds with symmetry.Reports on Mathematical Physics, 5(1):121–130, 1974.doi:10.1016/0034-4877(74)90021-4.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Reduction of symplectic manifolds with symmetry.Reports on Mathematical Physics, 5(1):121–130, 1974.doi:10.1016/0034-4877(74)90021-4

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:10.779604Z

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Observation ec242cd6-c747-4d6c-b319-766c4dbe505a · outbound

This paper cites Oxford Graduate Texts in Mathematics.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Oxford Graduate Texts in Mathematics

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:10.848219Z

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Observation 2ccf6391-1d7a-4533-99e9-8c605a823dbc · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:19:15.290434Z

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

Observation 2707071c-8076-4e65-a76b-2fb0d2e1b0a8 · outbound

This paper cites Toric symplectic geometry and full spark frames.Applied and Computational Harmonic Analysis, 61:254–287, 2022.doi:10.1016/j.acha.2022.07.004.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Toric symplectic geometry and full spark frames.Applied and Computational Harmonic Analysis, 61:254–287, 2022.doi:10.1016/j.acha.2022.07.004

Reference 29

Resolution: verified exact; doi, observed 2026-08-07T13:19:11.844805Z

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

Observation 8a47f1e9-4e3c-4027-83ca-1e9159649202 · outbound

This paper cites The geometry of constrained random walks and an application to frame theory.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry The geometry of constrained random walks and an application to frame theory

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:11.097048Z

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Unavailable: canonical work link unavailable.

Observation b4b4f3ee-c11a-4cc4-9689-d7226bd269ae · outbound

This paper cites Stratified symplectic spaces and reduction.The Annals of Mathe- matics, Second Series, 134(2):375–422, 1991.doi:10.2307/2944350.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Stratified symplectic spaces and reduction.The Annals of Mathe- matics, Second Series, 134(2):375–422, 1991.doi:10.2307/2944350

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:11.206476Z

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Observation bc6120e5-8b5f-405d-829a-c8d6a38996f6 · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:19:15.069925Z

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

Observation c99034b8-2653-4a8f-9f3d-f0e9619ea94b · outbound

This paper cites Normalized tight frames in finite dimensions.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Normalized tight frames in finite dimensions

Reference 33

Resolution: verified exact; doi, observed 2026-08-07T13:19:11.631659Z

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Observation fadc1a6a-e3ec-4aa9-b110-c763de0bb196 · outbound

This paper cites an unresolved cited work.

Sampling Finite Unit Norm Tight Frames Using Symplectic Geometry Unresolved cited work

Reference 1979

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:19:16.602738Z

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

Pith citing papers

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