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Paper Citation Record · LEDGER

Probability and Ambiguity

As of 21 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2412.20728.

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

pith.paper-citation-record.v1
2412.20728 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:21:25.612425Z

measured 6 of 6 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 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

6 of 6 outbound references displayed

  • verified exact2
  • verified fuzzy2
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bf454595-86f1-49ac-a2ef-ed2a5cd42df3 · outbound

This paper cites Solving the Hard Problem of Bertrand's Paradox.

Probability and Ambiguity Solving the Hard Problem of Bertrand's Paradox

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T23:21:25.808442Z

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=2026-08-10T23:21:25.582352Z digest=sha256:7f5d6c3b99b8e8365bd4574050d4ec7bcd13b00cf1a1cddedd2e87eeccae0226

Observation dcf59b81-00f0-49cf-a231-d372a1edbca4 · outbound

This paper cites (2011) Resolving Bertrand's Probability Paradox.

Probability and Ambiguity (2011) Resolving Bertrand's Probability Paradox

Reference 1994

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:25.825442Z

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=2026-08-10T23:21:25.612425Z digest=sha256:66cf9a3276f9c99c989e36d3d5d72f510efa889a503cec4db5c4653f0164c52d

Observation 157a79f1-9fd6-4c51-9f63-1d05eb7027ac · outbound

This paper cites Bertrand's paradox: a physical solution.

Probability and Ambiguity Bertrand's paradox: a physical solution

Reference 2006

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:21:25.784992Z

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=2026-08-10T23:21:25.594073Z digest=sha256:637b43c8235fa7f78d784bc54bf8ef5a5166e1adb12bab5aca6ec39b8782c817

Observation e7863122-fb97-442f-8a73-86ac6c7594d3 · outbound

This paper cites (1889), Calcul des probabilités.

Probability and Ambiguity (1889), Calcul des probabilités

Reference 2009

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:21:25.842784Z

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=2026-08-10T23:21:25.589287Z digest=sha256:43cf7344c24d669e1e209de251a3d59d4f2da38571f990c6603b169c446e25b1

Observation b278fa58-f7e8-44ff-b625-88835706d536 · outbound

This paper cites Random Triangle Theory with Geometry and Applications.

Probability and Ambiguity Random Triangle Theory with Geometry and Applications

Reference 2010

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T23:21:25.763217Z

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=2026-08-10T23:21:25.599427Z digest=sha256:e13d0364b334909027531a7cd2de24f2eec5183d32c847ec46f33a36cdc2c9e9

Observation 7a2a35dd-f6f7-403a-b3aa-ce778aaad56d · outbound

This paper cites at random.

Probability and Ambiguity at random

Reference 2015

Resolution
verified exact
raw_fallback, observed 2026-08-10T23:21:25.741313Z

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=2026-08-10T23:21:25.606243Z digest=sha256:9e2f66117e33b19ad63f0ff0408f9b401d1b86e6b88f1c34ba78ba87f70b03fa

Pith citing papers

No inbound Pith citation observations are available.