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Paper Citation Record · LEDGER

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms

As of 17 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.02778.

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

pith.paper-citation-record.v1
2607.02778 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T07:06:04.920642Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

12 of 12 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 186b2d66-9762-4541-b44a-871b07a8fcfb · outbound

This paper cites Aissen, I.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Aissen, I

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:17138e9330954dd1c60c0b27110f8cd6437ad17d5e4acaddb3437e7bc49350c6

Observation a7a87fc8-8533-4839-89f7-380283d4dd43 · outbound

This paper cites Belton, D.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Belton, D

Reference 2

Resolution
verified exact
doi, observed 2026-07-12T07:08:35.853416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:15f283391c71b7977d2de4753b2ba6296815ae24b49580d317af106a84dc87f6

Observation 515eea17-4435-4545-8361-d9bcfd1080a5 · outbound

This paper cites Total positivity, Grassmannian and modified Bessel functions.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Total positivity, Grassmannian and modified Bessel functions

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-07-12T07:08:35.848917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:d95e1d3816f3657a4058b8afd86961fc2f66b740af9efcd3e7a4dad1b6c8795e

Observation 18cb8461-8d8d-4735-9dbe-bdeefa226a97 · outbound

This paper cites an unresolved cited work.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:cf6e08c935f2caee379325e487b4593242847bca97440708358bacfd0c8719a2

Observation 2549ef40-669f-49dd-aee5-a5e59e6cdfb9 · outbound

This paper cites Darboux, Sur une proposition relative aux équations linéaires, Comptes Rendus de l’Académie des Sciences94(1882), 1456–1459.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Darboux, Sur une proposition relative aux équations linéaires, Comptes Rendus de l’Académie des Sciences94(1882), 1456–1459

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:edfe6286936fa41968d91f2991fd699820776c7d8aca4dc9e3b86c06e893d33b

Observation 15d120fc-d49b-450c-9205-fc4c2dacff43 · outbound

This paper cites an unresolved cited work.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:e496da831b203e17d355adeb01d7229c9e4a6ae25fa6a59d40cf54d17bb6dc1d

Observation 53e3bcfd-e951-4725-b107-f5de28be0168 · outbound

This paper cites an unresolved cited work.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:c3111a9f24a6407d0eaf4f9ccdf1f13b901a6838ac124612f455b770918d4eff

Observation 974b103c-54da-4b89-88c7-4cacda34a477 · outbound

This paper cites Edrei, On the generating functions of totally positive sequences.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Edrei, On the generating functions of totally positive sequences

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:5d2098d91fd41fdd672d36252fff9b188cd7b4e8ab38541d5197c6b812f7f375

Observation c03535fd-8463-4004-9a2e-68b002fb0a4f · outbound

This paper cites Edrei, On the generating function of a doubly infinite, totally positive sequence,Trans.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Edrei, On the generating function of a doubly infinite, totally positive sequence,Trans

Reference 9

Resolution
verified exact
doi, observed 2026-07-12T07:08:35.843012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:4c2eb6ab8a2bbd556aca2b0da8863b0eb4b9daeb7c64fcbf2eec4a70997a4fcf

Observation dbbeda70-6697-453d-bb8d-aae3cd2d4618 · outbound

This paper cites an unresolved cited work.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:5123d0f02a4d500fef5cc4a2501f33d3bd2831777160c4690ce041d0c36966c8

Observation fbbd9f8e-c829-4909-b3b4-c5c417aa01d0 · outbound

This paper cites Karlin,Total Positivity, Vol.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Karlin,Total Positivity, Vol

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:0729e49ae2c0833ae18a8214c64fca373284fd39e56ae43e04d5dbd17719c4be

Observation 256cd697-f60a-4b76-afbf-44de43a43a8d · outbound

This paper cites an unresolved cited work.

Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-12T07:06:04.920642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:06:04.920642Z digest=sha256:07ea0d6fd2c7129b4ee19ffb56384225f6ddc315ed08cd27cc8c42277ab0eb35

Pith citing papers

No inbound Pith citation observations are available.