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Paper Citation Record · LEDGER

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis

As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2606.24924.

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

pith.paper-citation-record.v1
2606.24924 v2

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T11:20:48.718070Z

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

7 of 7 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b63239f8-e39e-4744-8de2-5232d9a2b144 · outbound

This paper cites Riccati--Gamma Dynamics for Concavity and Asymptotics of Generalized Dirichlet Eta Functions.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis Riccati--Gamma Dynamics for Concavity and Asymptotics of Generalized Dirichlet Eta Functions

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-06-30T11:24:38.096597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:197a4a191f4640697bf4639f0ee33d06253e99a803db121578ba2e4bc0832d30

Observation e6237dfb-5785-4764-8e4e-064df918aa20 · outbound

This paper cites an unresolved cited work.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:46:12.321848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:a8e7a9b72b47b7ce230492f2671de2a67e320b984bbd69b24acb803279eb4fbd

Observation 285733a6-c88c-472d-be48-a4eac7c10ccb · outbound

This paper cites an unresolved cited work.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:46:11.466981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:90056def4ed13473a79fb3bc642da5d2f7776e7008f0c3617517c075a716f73c

Observation e7b36eaf-3d0c-48d5-9661-640b53aec259 · outbound

This paper cites Iwaniec and H.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis Iwaniec and H

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-09T10:46:12.317749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:e414ee28340c758144db4fc0d04032f7272be6296c161dc9cdfab3169b62807d

Observation 330ff76b-9176-47b9-b47f-af06370464ea · outbound

This paper cites an unresolved cited work.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:46:12.319510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:e9bcfd0a4cf3a3c29257f62d9e410b4601586faad84a9d6219e5bd0d818a08fa

Observation a6159b5d-28ee-49b7-a151-f3c21dfc5a79 · outbound

This paper cites an unresolved cited work.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-09T10:56:11.657915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:a1b9648847cf366af1d3d3055f0d3ed8b0bfdfb3f20538b6247f37463671ede4

Observation 5d497a73-dda3-4752-9d00-3695f89ca7e6 · outbound

This paper cites A note on S(T) and the zeros of the Riemann zeta-function.

Spectral Riccati--Gamma Concavity, Symmetric Zero Cancellation, and Conditional Criteria for the Riemann Hypothesis A note on S(T) and the zeros of the Riemann zeta-function

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-06-30T11:24:38.094120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-06-30T11:20:48.718070Z digest=sha256:e8565f9a75c0c029c4df51bbebda630e1b83b98aeccc7bc3018d18108337a60e

Pith citing papers

No inbound Pith citation observations are available.