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Paper Citation Record · LEDGER

Large finite products of small fractions

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:38:57.331115Z digest=sha256:dfbdfc333d3b84662c12629dc880d116fba84b4015126654d7d48bda3626e9c6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:38:57.334531Z digest=sha256:96e40cb08fdcf220f34c0d67f08eac73c66a7bcbf095be8b73f913981da0d5c4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:38:57.337054Z digest=sha256:132f4f4101b64c0c35d67b1231620a5ad8669d48ddcb7a68e4fc751ce1742384

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:b32d8dedd4efa5c5cc540f35ab6c44143e9da93ebd21fefd7772b042cfcd9bb3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:40:09.963105Z digest=sha256:37981a6e74c60069dadb49d4869ba7fb5cf91e9cb8448cc00e3944b7d2f208e9