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Paper Citation Record · LEDGER

Large finite products of small fractions

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T15:38:57.331115Z digest=sha256:0d490d08beeea45ca7d27c74ba18478ef1504a5fc9b56173e4cfe7fa9d9f76ec

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T15:38:57.334531Z digest=sha256:ec15612b12dbff70d85821dbe53449b59f7407416ae1f0e7bb5a4040bec78983

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T15:38:57.337054Z digest=sha256:71f46d1e38c0b3d10fd393283f81d210a57a43eed50d26375c504e36cb91ea05

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:fe8e5e6c490c41bfb7b28529d06c770e429ba415f770f50a824c3898d9b80fca

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-14T14:40:09.963105Z digest=sha256:4351d784c22a31cecdf6686192739c0d8844f85261be1e1063e28eb5f0d9cc2c