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Paper Citation Record · LEDGER

Surprising variants of Cauchy's formula for mean chord length

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

source=pdf_text observed=2026-08-14T12:49:25.289013Z digest=sha256:354e227cda3016c3bb7180ffb046427bbbadfc801eeb7d1dccfdf1a7e8276d1f

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

source=pdf_text observed=2026-08-14T12:49:25.293979Z digest=sha256:0ba51dd601a0ac1322237944ad4ed6e1fa0e25db668e6605d9cde032c1f3e9a2

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

source=pdf_text observed=2026-08-14T12:49:25.297975Z digest=sha256:c24b2fd03e31d9989becf0c7101868a6770a0a212d8ce6c50fe4e1dabdbc3a80

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

source=pdf_text observed=2026-08-14T12:49:25.301968Z digest=sha256:9256204dac8cbc693fcd571ff7ad5731b25225f51c026dbd8561498e504ecb18

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

source=pdf_text observed=2026-08-14T12:49:25.306175Z digest=sha256:5737f60e98d5e34004fa83e05d4d4cd0551592bd1c6a6ab4cf9758756ab084bd

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

source=pdf_text observed=2026-08-14T12:49:25.310668Z digest=sha256:a126efc59d40e380da90636ea19b5ed7098dcaeb811829097456211b7a38b7be

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

source=pdf_text observed=2026-08-14T12:49:25.314865Z digest=sha256:63ffef0e3ca77c25291e8763815fb4eaf8d42647fbd645c55f56d28ee1b07914

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

source=pdf_text observed=2026-08-14T12:49:25.319174Z digest=sha256:c0ff4c32ae2a1b5339738de6fc08584f7e932dbaef294293bde01bcce823ae73

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

source=pdf_text observed=2026-08-14T12:49:25.324180Z digest=sha256:5096a7625dd930dbc71541758848967e7b18d9093481cbaa468920b399f80bec

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

source=pdf_text observed=2026-08-14T12:49:25.328421Z digest=sha256:0b3b0aea08d248b1a19beada40c22afcc3c303d28341b8111f8eb4f9357d3eca

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

source=pdf_text observed=2026-08-14T12:49:25.332233Z digest=sha256:f0587aecb50ef2d72eee5732f106028e3bf1e0121ba8ca207388645e884239aa

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

source=pdf_text observed=2026-08-14T12:49:25.336347Z digest=sha256:b4fe08e749e2b03f7ac0404ee63e886f0ce8d191c29ccecf0084bc1a526065ac

Pith citing papers

No inbound Pith citation observations are available.