Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T10:15:35.157086Z
Paper Citation Record · LEDGER
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory
As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2604.14596.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
27 of 27 outbound references displayed
- verified exact3
- verified fuzzy9
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3f31b3a5-5c42-4d85-8aaf-893b6fcf3f2a · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.208338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bfbc8a03-e74d-44f7-b20e-283aebdc0cbc · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.242153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f549b80d-3fbf-4963-a755-f4e691486359 · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.234183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 371184fb-f85e-4c49-a1ab-f1dd4de25fa3 · outbound
This paper cites Falconer,Fractal Geometry: Mathematical Foundations and Applications, 3rd ed.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Falconer,Fractal Geometry: Mathematical Foundations and Applications, 3rd ed
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.238294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 85553df8-032b-42a7-9bf7-0c39d1eefd4f · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.231148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 16eac09d-b57d-4912-b485-574807adb6cc · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.204861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9c29a944-5dd9-4cd0-ba33-3e5980172d33 · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.219190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 55d3d066-04d8-4c85-bb5b-44f83c9bbf17 · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.212513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 82b3cf43-cb36-4396-9bef-2ed2e354f514 · outbound
This paper cites Hurwitz, Über die Composition der quadratischen Formen von beliebig vielen Variablen,Nachr.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Hurwitz, Über die Composition der quadratischen Formen von beliebig vielen Variablen,Nachr
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.223221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9d87625e-e849-42ac-aaea-d9269673860e · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.227216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 27855596-f6e4-4fae-baef-6ba261ca7b28 · outbound
This paper cites Polchinski, Renormalization and effective Lagrangians,Nucl.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Polchinski, Renormalization and effective Lagrangians,Nucl
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.253905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b86e2c81-b349-4b8d-8a45-dfd66dd6501f · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.215969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7ac5f7e3-7895-4cb8-8449-57ce8f7bcb30 · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.245576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 688f23b6-710d-485f-9c60-4098548dafa5 · outbound
This paper cites Immirzi, Real and complex connections for canonical gravity,Class.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Immirzi, Real and complex connections for canonical gravity,Class
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.249768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 92e924e9-cc57-46e1-8d8a-277a1446717b · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.194204Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b2052559-4387-4a38-a08c-a67e286f06e0 · outbound
This paper cites A Deterministic Fractal Set Derived from the Sequence of Prime Numbers.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory A Deterministic Fractal Set Derived from the Sequence of Prime Numbers
Reference 16
- Resolution
- verified exact
- arxiv_id, observed 2026-05-27T00:04:12.385307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6555a8dc-d5c1-4d80-8a31-6545d7c1d718 · outbound
This paper cites Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Informational Cardinality: A Unifying Framework for Set Theory, Fractal Geometry, and Analytic Number Theory
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-27T00:04:12.542062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2d851f26-8220-42f3-b7fa-d66b39212109 · outbound
This paper cites Rudnick and P.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Rudnick and P
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.201191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cd17ca6e-57bd-4b0a-bc79-ef051f7a6b49 · outbound
This paper cites Bogomolny and J.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Bogomolny and J
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.177854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 99a15e14-5065-4e20-8df3-931e6458e999 · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.180964Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 46ed8127-efcd-4edf-8a5c-ee0e4b1ae829 · outbound
This paper cites Conrey, The Riemann hypothesis,Notices Amer.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Conrey, The Riemann hypothesis,Notices Amer
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.184384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 099e6b7d-afb2-4335-ad1a-f3cc4d6a6c73 · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.187507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 94f4508d-0c98-4958-9b01-10326562101f · outbound
This paper cites Witten, String theory dynamics in various dimensions,Nucl.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Witten, String theory dynamics in various dimensions,Nucl
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.190870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9714a273-7221-4201-a58e-457667d7ed6f · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.174307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4a64469f-25ae-4a66-a4fb-c64626f8b9fa · outbound
This paper cites an unresolved cited work.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-05-20T00:53:19.197526Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7f4c6abb-f41f-49d9-9d04-152e6e4a883d · outbound
This paper cites Wolf, 1/f noise in the distribution of prime numbers,Physica A241(3–4), 493–499.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Wolf, 1/f noise in the distribution of prime numbers,Physica A241(3–4), 493–499
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-20T00:53:19.178432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1eef538f-ab59-41f2-a946-e90f870e82bb · outbound
This paper cites Planck 2018 results. VI. Cosmological parameters.
Prime--Zero Duality: Fractal Geometry, Renormalization-Group Flow, and an Information-Ontological Framework for Number Theory Planck 2018 results. VI. Cosmological parameters
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T10:24:22.158288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.