Paper Citation Record · LEDGER

Surprising variants of Cauchy's formula for mean chord length

As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1908.06608.

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

pith.paper-citation-record.v1
1908.06608 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:49:25.336347Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

12 of 12 outbound references displayed

verified exact2
verified fuzzy6
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b67bbe0-c0d3-438d-98d1-9797d8d25999 · outbound

This paper cites Cauchy, Euvres compl` etes: Series 1 (Cambridge Library Collection-Mathematics), Cam bridge University Press (2009).

Surprising variants of Cauchy's formula for mean chord length Cauchy, Euvres compl` etes: Series 1 (Cambridge Library Collection-Mathematics), Cam bridge University Press (2009)

Reference 1

Resolution: verified exact; doi, observed 2026-08-14T12:49:25.383703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f8a6ce45-7b9d-4f34-93d2-77847c2eb1ec · outbound

This paper cites an unresolved cited work.

Surprising variants of Cauchy's formula for mean chord length Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:49:25.516814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c22c0673-ac9b-4b1a-b935-0df20ae0b5b8 · outbound

This paper cites Underwood, Quantitative Stereology (Addison-Wesle y, 1970).

Surprising variants of Cauchy's formula for mean chord length Underwood, Quantitative Stereology (Addison-Wesle y, 1970)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:25.504996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 67fedf34-f0c7-496a-978b-25590e5167ba · outbound

This paper cites Serra, Image Analysis and Mathematical Morphology (A cademic Press, London, 1982).

Surprising variants of Cauchy's formula for mean chord length Serra, Image Analysis and Mathematical Morphology (A cademic Press, London, 1982)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:25.492460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8f0ef632-2b7b-4f40-8e97-bf5119e16cfd · outbound

This paper cites Torquato, Random Heterogeneous Materials: microstr ucture and macroscopic properties (Springer-Verlag, New Y ork, 2001).

Surprising variants of Cauchy's formula for mean chord length Torquato, Random Heterogeneous Materials: microstr ucture and macroscopic properties (Springer-Verlag, New Y ork, 2001)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:25.479922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7de2a6f0-c109-485a-91cc-bb3523f38c39 · outbound

This paper cites Blanco and R.

Surprising variants of Cauchy's formula for mean chord length Blanco and R

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:25.466147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff07799d-5cfe-415d-84d3-3fc5f83261e9 · outbound

This paper cites an unresolved cited work.

Surprising variants of Cauchy's formula for mean chord length Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:49:25.453075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e878ae07-6902-4f4a-ade6-81beefe7a93c · outbound

This paper cites Mazzolo, A.

Surprising variants of Cauchy's formula for mean chord length Mazzolo, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:25.440073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 615f5493-385d-4228-92d8-352cc1eacd54 · outbound

This paper cites an unresolved cited work.

Surprising variants of Cauchy's formula for mean chord length Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:49:25.426435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1b679123-3d26-4f94-9d4c-92d714ef5e78 · outbound

This paper cites Feller An Introduction to Probability Theory and Its Implications , vol.

Surprising variants of Cauchy's formula for mean chord length Feller An Introduction to Probability Theory and Its Implications , vol

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T12:49:25.412970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c8956f1d-6da0-48e9-983b-d1ce22bcaf21 · outbound

This paper cites an unresolved cited work.

Surprising variants of Cauchy's formula for mean chord length Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-14T12:49:25.370036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2505b8d3-cfbc-4ba4-b202-f119ef430c69 · outbound

This paper cites an unresolved cited work.

Surprising variants of Cauchy's formula for mean chord length Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T12:49:25.398095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.