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Paper Citation Record · LEDGER

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.14804.

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

pith.paper-citation-record.v1
2506.14804 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:26:41.189505Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61c09591-c667-4ba1-a2d4-bb6213f50ba5 · outbound

This paper cites Bernoulli’s law of large number s,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Bernoulli’s law of large number s,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:44.158204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 22605bbb-3f76-4d48-b0bb-c65a3ccb4179 · outbound

This paper cites an unresolved cited work.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:44.031121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 552491f4-c308-4fe9-9f50-2c4895243f3a · outbound

This paper cites Bernoulli’s law of large numbers and the strong law o f large numbers,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Bernoulli’s law of large numbers and the strong law o f large numbers,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.951497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8cb5a9cc-e1f9-4336-bb32-fdb8c0a1c8b4 · outbound

This paper cites The difficult birth of stochastics: Jacob Bernou lli’s Ars Conjectandi (1713),.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN The difficult birth of stochastics: Jacob Bernou lli’s Ars Conjectandi (1713),

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.856475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:39.910814Z digest=sha256:694331f875782af58494be82da05b4493b0c4a032c3212e57632d085b5345f45

Observation 9aa67764-19dc-4ce4-aa5a-b280cc2c2171 · outbound

This paper cites On convergence in necessity and its laws of large num bers,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN On convergence in necessity and its laws of large num bers,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.737379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 053c8eec-6b13-4893-aebc-fed9cd70f4e8 · outbound

This paper cites A quantitative weak law of large numbers and its applicat ion to the delta method,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN A quantitative weak law of large numbers and its applicat ion to the delta method,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.632781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 44b13980-c972-47f1-937b-d5a9ad249489 · outbound

This paper cites Some applications of the law of large numbers,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Some applications of the law of large numbers,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.541022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 69c38b3b-a0ff-4132-bfb0-1403e8a25b65 · outbound

This paper cites Applications of strong laws of large numbers,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Applications of strong laws of large numbers,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.253880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:40.398173Z digest=sha256:284a94a2ec9ee50356c09babb9adda2fc8c3ed3b3a13fba68728f9b7963f5289

Observation bd7ddb11-2a70-4e77-a58c-3c46b67f6012 · outbound

This paper cites A general law of large numbers, wit h applications,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN A general law of large numbers, wit h applications,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:43.022755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 7abb5b46-320c-475f-82f3-ad7e6cdfa8c9 · outbound

This paper cites A version of the Law of Large Numbers and applica tions,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN A version of the Law of Large Numbers and applica tions,

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:42.732929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ca83eee4-5c19-4276-b350-0eb1e68ba620 · outbound

This paper cites A general method to the strong law of large numbers and its applica- tions,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN A general method to the strong law of large numbers and its applica- tions,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:42.488135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:40.707327Z digest=sha256:4ec9ffd6928056278ad45705c03015b8602cf986d37c3f4389d1b36fa339fd9c

Observation 4cb45dc5-351c-49a0-b856-b6b946da85ab · outbound

This paper cites Laws of Large Numbers: Applications,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Laws of Large Numbers: Applications,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:42.207298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:40.798959Z digest=sha256:fcd6ba0552c59d053f6034e406db491ef5cb50c492b5f322ebf34c2791fed0c5

Observation 8019b24d-ab80-448d-9fa9-05c4763f59bc · outbound

This paper cites On the dynamical evolution of randomness Part A: Random experiments as dynamical systems.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN On the dynamical evolution of randomness Part A: Random experiments as dynamical systems

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T11:26:41.477959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:40.962130Z digest=sha256:7ad7f258356650c28d7fdfc75b91b8d42c66736f8d59bde8d97f4a9a78ccbe90

Observation b21c4a30-c4d7-44b0-af2f-c46b2d94c120 · outbound

This paper cites an unresolved cited work.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:26:41.924253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:41.081954Z digest=sha256:4fcd85672a5496479512de96986d9fde73640bc3d2a56382feae94afa3dccc48

Observation 5e29805c-74ec-4332-9284-7f56e6313622 · outbound

This paper cites An Historical Note on Finite Rotation s,.

On the dynamical evolution of randomness Part B: Geometrisation and the origin of convergence in LLN An Historical Note on Finite Rotation s,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:26:41.719523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:26:41.189505Z digest=sha256:100ccbc54a553ccf52b23b58dca32c9fcf0ba2d39cce49310521514f73c8b400

Pith citing papers

No inbound Pith citation observations are available.