Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:21:39.355633Z
Paper Citation Record · LEDGER
Fast Ramanujan-type Series for Logarithms. Part I
As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.08245.
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 2026-08-07T06:34:17.273281+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
30 of 30 outbound references displayed
- verified exact5
- verified fuzzy14
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 91562def-c0bf-4fe9-ad42-46bb775d94f3 · outbound
This paper cites Computing elementary functions using multi-prime argument reduction.
Fast Ramanujan-type Series for Logarithms. Part I Computing elementary functions using multi-prime argument reduction
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:21:38.887449Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6a326e77-b9e6-4b3d-8397-127e96d75581 · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:21:38.991141Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 411792f4-a67a-4ff3-9895-38a372530be4 · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:21:39.874088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d06b7114-17ce-4b75-8eee-1324268b9c53 · outbound
This paper cites The Wilf–Zeilberger Method.
Fast Ramanujan-type Series for Logarithms. Part I The Wilf–Zeilberger Method
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.865122Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 0e2d9262-34ca-4fc3-8ea1-8aa17120fb6e · outbound
This paper cites and Zeilberger, D.
Fast Ramanujan-type Series for Logarithms. Part I and Zeilberger, D
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.856083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 46bf69a4-fb70-400d-a352-d04b839ad096 · outbound
This paper cites Applied Mathematics E-Notes, 7 (2007), 237-246 ISSN 1607-2510 ( :6:).
Fast Ramanujan-type Series for Logarithms. Part I Applied Mathematics E-Notes, 7 (2007), 237-246 ISSN 1607-2510 ( :6:)
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.847179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 795e116f-34b7-4d96-9037-672d83a22038 · outbound
This paper cites Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$.
Fast Ramanujan-type Series for Logarithms. Part I Proof of conjectures on series with summands involving $ \binom{2k}{k}8^k/(\binom{3k}{k}\binom{6k}{3k})$
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:21:39.276137Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1d0ed05-f7c6-4a13-873d-97f47cc1195f · outbound
This paper cites A simple algorithm for the evaluation of the hypergeometric series using quasi-linear time and linear space.
Fast Ramanujan-type Series for Logarithms. Part I A simple algorithm for the evaluation of the hypergeometric series using quasi-linear time and linear space
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:21:39.654783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 29bb7a64-4943-410f-b016-2b5e1b803455 · outbound
This paper cites Fast multiple-precision evaluation of series of rational numbers.
Fast Ramanujan-type Series for Logarithms. Part I Fast multiple-precision evaluation of series of rational numbers
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.837135Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation cb9da188-62fb-41c1-8bb9-46f331cfff3f · outbound
This paper cites and Martin, C.
Fast Ramanujan-type Series for Logarithms. Part I and Martin, C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.826181Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b1957fbb-dbfe-46cf-adc0-10e0cf0bc94b · outbound
This paper cites Yee, Binary Splitting, Optimizing Recursions (2023) ( :11:).
Fast Ramanujan-type Series for Logarithms. Part I Yee, Binary Splitting, Optimizing Recursions (2023) ( :11:)
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.816559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 065970a2-07bd-4ae2-b202-deb8167679b1 · outbound
This paper cites Parametric Continued Fractions for $\pi^2$, $\zeta(3)$, and other Constants.
Fast Ramanujan-type Series for Logarithms. Part I Parametric Continued Fractions for $\pi^2$, $\zeta(3)$, and other Constants
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:21:39.640046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 78daa44c-ee8f-4f7f-bfd7-7ecfc3a8cc90 · outbound
This paper cites Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function.
Fast Ramanujan-type Series for Logarithms. Part I Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:21:39.298590Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ada0e529-18b7-42dc-a00b-2b412181a86d · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:21:39.807309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3acb967c-e3ff-4906-905e-b00e71d029d6 · outbound
This paper cites A Polynomial Time, Numerically Stable Integer Relation Algorithm,.
Fast Ramanujan-type Series for Logarithms. Part I A Polynomial Time, Numerically Stable Integer Relation Algorithm,
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.797914Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 066ae33e-1a72-4973-a303-5fab32b217c0 · outbound
This paper cites and Schnorr, C.
Fast Ramanujan-type Series for Logarithms. Part I and Schnorr, C
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.787559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5bfd4429-822f-48a9-a3aa-7dc3a9d8e8c0 · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:21:39.777440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dd118085-b0a0-4684-89f9-2dbbf20842ba · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:21:39.767730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3c6447ec-bfc2-47c5-85a9-fcac2a157bf9 · outbound
This paper cites Wilf-Zeilberger seeds and non-trivial hypergeometric identities.
Fast Ramanujan-type Series for Logarithms. Part I Wilf-Zeilberger seeds and non-trivial hypergeometric identities
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:21:39.615221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a2821b5e-6cc7-4faf-a7b3-69803881b853 · outbound
This paper cites Yee y-cruncher software (2025) ( :19:).
Fast Ramanujan-type Series for Logarithms. Part I Yee y-cruncher software (2025) ( :19:)
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.758307Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e1f32f7c-b054-44db-900e-879dd4ae6374 · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:21:39.747467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 625e3ca7-517b-4bca-91fc-acd12e5140be · outbound
This paper cites FLINT : Fast Library for Number Theory (2024) ( :21a:) ( :21b:).
Fast Ramanujan-type Series for Logarithms. Part I FLINT : Fast Library for Number Theory (2024) ( :21a:) ( :21b:)
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.737926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 71bb4623-4063-4625-ab74-b95d2a3ee4cb · outbound
This paper cites an unresolved cited work.
Fast Ramanujan-type Series for Logarithms. Part I Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:21:39.726059Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ae0f8d36-197b-4cfc-b29a-5975015baf01 · outbound
This paper cites Reduction-Based Creative Telescoping for Definite Summation of D-finite Functions.
Fast Ramanujan-type Series for Logarithms. Part I Reduction-Based Creative Telescoping for Definite Summation of D-finite Functions
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T05:21:39.600611Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1dc6adc2-1360-49bd-ae54-242dc5bd3c26 · outbound
This paper cites New series involving binomial coefficients.
Fast Ramanujan-type Series for Logarithms. Part I New series involving binomial coefficients
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:21:39.339618Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 434e750e-5513-4ed9-be0a-0d5b011afbb6 · outbound
This paper cites Euler’s Hypergeometric Transformations.
Fast Ramanujan-type Series for Logarithms. Part I Euler’s Hypergeometric Transformations
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.715594Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e2bfdbb5-60ff-4ca0-b73d-c882b5a8b4d0 · outbound
This paper cites Scheibe, A.
Fast Ramanujan-type Series for Logarithms. Part I Scheibe, A
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.705841Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d015abc8-b533-4205-9304-3999bfc9d406 · outbound
This paper cites The WZ method and flawless WZ pairs.
Fast Ramanujan-type Series for Logarithms. Part I The WZ method and flawless WZ pairs
Reference 28
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T05:21:39.514535Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dde0b747-4e51-4201-b623-9eecd53052b5 · outbound
This paper cites How to prove these identities forlog(2) based on 3F2 integrals? MathOverflow (2024).( :28:).
Fast Ramanujan-type Series for Logarithms. Part I How to prove these identities forlog(2) based on 3F2 integrals? MathOverflow (2024).( :28:)
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.695819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bff2d9a6-d8d8-4622-af48-5d065635193a · outbound
This paper cites The Math of Performance: Stress Testing Hardware for Math-Changing Re- sults.
Fast Ramanujan-type Series for Logarithms. Part I The Math of Performance: Stress Testing Hardware for Math-Changing Re- sults
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:21:39.685382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.