Pith. sign in

Paper Citation Record · LEDGER

Large finite products of small fractions

As of 18 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:1908.00839.

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

pith.paper-citation-record.v1
1908.00839 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:38:57.340798Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:40:09.963105Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:40:10.434126Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact1
  • verified fuzzy2
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c2987fe2-c335-4bde-bbf0-b47698bfef27 · outbound

This paper cites Dieckmann.

Large finite products of small fractions Dieckmann

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:38:57.390054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:38:57.331115Z digest=sha256:64bbdc5931913b40013d56da410684f27d7e720762a22d64cf31cf2d9a57d3fe

Observation b8c87637-a053-48ef-846b-ce9e31b35bff · outbound

This paper cites http://dlmf.nist.gov/, Release 1.0.21 of 2018-12-15.

Large finite products of small fractions http://dlmf.nist.gov/, Release 1.0.21 of 2018-12-15

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:38:57.382089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:38:57.334531Z digest=sha256:027f64cb28dadd1be5b2027d3835104e718084ae3e2594dda8a8b8f2a72bbc45

Observation bf11908a-f1da-4075-8ca6-46d3bb13f3e9 · outbound

This paper cites Dragging the roots of a polynomial to the unit circle.

Large finite products of small fractions Dragging the roots of a polynomial to the unit circle

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:38:57.372852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:38:57.337054Z digest=sha256:808e0fbfb77f5d660232a80093f9a92ced1edb06a5cc7895567be9972e4964bb

Observation e41c66d3-2f1e-4e35-9e5f-41b411349ff2 · outbound

This paper cites Note on the gamma function.

Large finite products of small fractions Note on the gamma function

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-14T15:38:57.340798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:38:57.340798Z digest=sha256:267ce275bcd9de21c496fe4966a63d5f16b8acb4d920d8ad41d02ec1596eed6f

Pith citing papers

Observation 00344002-18fe-42f1-b381-3fa465cafe8e · inbound

Dragging the roots of a polynomial to the unit circle cites this paper.

Dragging the roots of a polynomial to the unit circle Large finite products of small fractions

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:40:10.440109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T14:40:09.963105Z digest=sha256:4bdb01792a456cc91be80e172b083e1275c52b5762e26a75aefa68124cc71bd2