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Paper Citation Record · LEDGER

Optimal Dynamical Frames

As of 9 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2506.00567.

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

pith.paper-citation-record.v1
2506.00567 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:14:44.001959Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T00:53:32.623634Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T19:06:03.333785Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dabba8a7-8a92-449c-a39d-9eca9eb983b5 · outbound

This paper cites D ´ıaz Mart´ın, I.

Optimal Dynamical Frames D ´ıaz Mart´ın, I

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:47.407456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.016559Z digest=sha256:46c305ed6c680b2c529fd94e2c07dcf8c697ce6fd1dc7666e3860f4d1b71b0f6

Observation 9e640be7-717e-4274-a018-0050f7002078 · outbound

This paper cites D´ıaz Mart´ın, I.

Optimal Dynamical Frames D´ıaz Mart´ın, I

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:47.244688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.119918Z digest=sha256:f8d7205a5f72a4fe0f744cf2358f2b4b364889421e178352a79f8395ace8f881

Observation 7f23cfa7-712d-4593-bba6-ea44f250f7c7 · outbound

This paper cites an unresolved cited work.

Optimal Dynamical Frames Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:14:46.970178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.251753Z digest=sha256:7f59ef066b2d88da97a91d723dc5feeabe460c433403ccb72eeb9530e8ceecec

Observation f4985c61-381b-4421-8c05-3c938683058a · outbound

This paper cites an unresolved cited work.

Optimal Dynamical Frames Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:14:46.692150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.420344Z digest=sha256:2e709b61e41a60a312e6cc9dc78a94226deee64f174a59226a4f94741644e13b

Observation 34d13c1b-b61b-4ff3-a36f-56c128d8df65 · outbound

This paper cites Halmos.Shifts on Hilbert spaces.Journal f ¨ur die reine und angewandte Math- ematik, 1961, no.

Optimal Dynamical Frames Halmos.Shifts on Hilbert spaces.Journal f ¨ur die reine und angewandte Math- ematik, 1961, no

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:46.413192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.533637Z digest=sha256:f901a3e2cc829a53959db3b8bee9fd5cdfd0ba2b9b7d75def75f5131fbc632e6

Observation 0d6896da-3d04-479e-9ec5-1c9cd4d8c7b5 · outbound

This paper cites Helson.Lectures on Invariant Subspaces.Academic Press, London, 1964.

Optimal Dynamical Frames Helson.Lectures on Invariant Subspaces.Academic Press, London, 1964

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:46.278852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.631950Z digest=sha256:32433e7dbf245199d00d40f2827c424dfa578d6f0f09a1a3cb08a8cfeafbf6be

Observation 6a6482ec-72f3-46ab-9a59-9e2e55d80caf · outbound

This paper cites an unresolved cited work.

Optimal Dynamical Frames Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:14:46.116376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.737486Z digest=sha256:b2436a7e595302463444f7699a7f1deed66af53da35d2b3ec6f952be36dc23a1

Observation a37d72cf-31bf-45e7-8bf5-bfd755f4bd1a · outbound

This paper cites an unresolved cited work.

Optimal Dynamical Frames Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:14:45.957699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:42.931507Z digest=sha256:f7daf01240a4238e078da38c4bd82f73b2b248d219fa7af87c26bb0b659fab0e

Observation d6976f60-5254-4e4d-9d62-69cadbca5480 · outbound

This paper cites an unresolved cited work.

Optimal Dynamical Frames Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:14:45.816065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:43.074881Z digest=sha256:db12eec65673e2c7fb7252a6f51aa584eb3bcf6564d37da2c2a005e28e6db375

Observation 2e82abf5-3ebe-4297-90c4-9e7efe83e433 · outbound

This paper cites Paulsen.Every completely polynomially bounded operator is similar to a contraction.

Optimal Dynamical Frames Paulsen.Every completely polynomially bounded operator is similar to a contraction

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:45.642189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:43.180563Z digest=sha256:b2c80ddc5fe5023b48d101c140440259495ee68809c1c03a27b41a6ff8af37b8

Observation fef4c0eb-1175-461a-a1da-c1e30206c858 · outbound

This paper cites Philipp.Bessel orbits of normal operators.J.

Optimal Dynamical Frames Philipp.Bessel orbits of normal operators.J

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:45.394413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:43.314516Z digest=sha256:34a86f4b539b4493938b4e1e2f620f045d998718dadfbf0030f5c591a4ca6ff3

Observation 7b66fe0d-7d89-4111-86e8-13bad8fa94ed · outbound

This paper cites Rosemblum and J.

Optimal Dynamical Frames Rosemblum and J

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:45.094746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:43.455283Z digest=sha256:678e98cc9a60bdd517c66d930502109835205cd09b6cf04c73d593079587b28d

Observation 09a80f4c-2de1-4bb0-89de-9b5f8bdb092d · outbound

This paper cites Radjavi and P.

Optimal Dynamical Frames Radjavi and P

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:44.843096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:43.681050Z digest=sha256:b66617207e45685ad4382d64b274c1df8dd5de0e4f47f209fc331a981c3335d0

Observation 34fb18b3-ca99-434e-ba6a-caeba02beb9f · outbound

This paper cites an unresolved cited work.

Optimal Dynamical Frames Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:14:44.546553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:43.823339Z digest=sha256:e7eecab5c4151c67beca2b2a3c19c20f194ad962953c860efc3bbb11aae0031d

Observation 22394599-3058-457e-a274-a2577e9259ab · outbound

This paper cites Luis Santal´o.

Optimal Dynamical Frames Luis Santal´o

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:14:44.284764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T12:14:44.001959Z digest=sha256:804193cdb7bbb65d4466060a5ee883cb98aca5c6824571cd24a4ce860d26079a

Pith citing papers

Observation 3c251a8d-6a60-4fe6-833e-5a422550291d · inbound

Frame constructions associated with operator orbits cites this paper.

Frame constructions associated with operator orbits Optimal Dynamical Frames

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-03T02:17:35.272111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-29T00:53:32.623634Z digest=sha256:9fc093b9a32929b67906a53931739beffe71f7bafe78c246af46a6825336882c