Pith. sign in

Paper Citation Record · LEDGER

Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2402.08693.

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

pith.paper-citation-record.v1
2402.08693 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:21:39.298590Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T08:45:34.407565Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 78daa44c-ee8f-4f7f-bfd7-7ecfc3a8cc90 · inbound

Fast Ramanujan-type Series for Logarithms. Part I cites this paper.

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.

source=pdf_text observed=2026-08-07T05:21:39.298590Z digest=sha256:37bbe0d8563c3cb3c9ef4f202422fad747c7ac964e325728c27e1424c54b9c9b

Observation a882bca5-1ff4-4ece-9b15-74726ce54ebf · inbound

Analytic Dilogarithm Identities cites this paper.

Analytic Dilogarithm Identities Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T04:38:43.892631Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:38:43.892631Z digest=sha256:02cc1996f71541a449e4bbeb28af1c692d6b04bb0cf7dd069ffbf7da3670a87d

Observation cb5a2896-abda-40b9-8ddb-7312461a0ef2 · inbound

Functional Dilogarithm Identities in Quadratic Fields cites this paper.

Functional Dilogarithm Identities in Quadratic Fields Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:16:14.603383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-07T17:51:16.066695Z digest=sha256:434fca9977d908b34036cb4ede6de2495fd929c8824acbf3a15e006da6c57697

Observation c214650a-78e4-4262-b2cb-865fb411e188 · inbound

Functional Dilogarithm Identities in Quadratic Fields cites this paper.

Functional Dilogarithm Identities in Quadratic Fields Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $\pi$ and Values of the Gamma Function

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-01T08:45:34.409380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-01T08:45:09.625493Z digest=sha256:0277d10ed6915fa01e779abe928746f73c3473a9579301d97e734b58d388c9cd

Observation 566b3454-af39-4d06-a081-7bf1954718ee · inbound

Functional Dilogarithm Identities in Quadratic Fields cites this paper.

Functional Dilogarithm Identities in Quadratic Fields 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 2026-08-02T15:33:34.808850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T15:33:34.808850Z digest=sha256:d341e6c0d3affcbea4c3b2d6680074dfa07ab12f8fc297ba71f86ca1d892144d