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Paper Citation Record · LEDGER

On nonlinear weak law of large numbers

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.07470.

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

pith.paper-citation-record.v1
2506.07470 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:54:24.392617Z

measured 12 of 12 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

12 of 12 outbound references displayed

  • verified exact8
  • verified fuzzy3
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 220f8bae-d69a-4ac5-b622-52bc46dc2fed · outbound

This paper cites an unresolved cited work.

On nonlinear weak law of large numbers Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-07T05:54:26.103307Z

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=2026-08-07T05:54:22.614530Z digest=sha256:e94656d5f864048a4411939dd8109cee748ec1fd481114de1803d439e6ce27e7

Observation 88c84942-8e27-408b-9479-5119587c14a5 · outbound

This paper cites an unresolved cited work.

On nonlinear weak law of large numbers Unresolved cited work

Reference 2

Resolution
verified exact
doi, observed 2026-08-07T05:54:25.813884Z

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=2026-08-07T05:54:22.804908Z digest=sha256:3139b9e2d8c27539891a954599968e2c5cb9ad5fde8225e6379a7fdf7fe275c3

Observation 83a49b1c-8e2a-4a82-a62a-b45e6571ba17 · outbound

This paper cites Feller, An Introduction to Probability Theory and Its Applications, 3rd Edition, John Wiley, Hoboken, 1968.

On nonlinear weak law of large numbers Feller, An Introduction to Probability Theory and Its Applications, 3rd Edition, John Wiley, Hoboken, 1968

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:26.290131Z

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=2026-08-07T05:54:22.956522Z digest=sha256:3a258e2aeefa52ef91058b92430a74388bcc745e954903315aa5a6bf77165a34

Observation 3ab66abe-9e85-43d5-b107-fac9142cec22 · outbound

This paper cites Limit theorems with rate of convergence under sublinear expectations.

On nonlinear weak law of large numbers Limit theorems with rate of convergence under sublinear expectations

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:54:25.585970Z

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=2026-08-07T05:54:23.102586Z digest=sha256:9ae8b73a5de3cb739d6cd71985311b37107eae0ee30a731bd71f3092ef8b365f

Observation bfbc506b-7c19-427a-91a8-4c321ef5f1fc · outbound

This paper cites an unresolved cited work.

On nonlinear weak law of large numbers Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-07T05:54:25.329021Z

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=2026-08-07T05:54:23.309765Z digest=sha256:c2b162936d942acd8b59f4eca5411dc20dbc279fb34a101c464a0266f7aa41e9

Observation fc486e60-d39b-414e-a389-4863d28e8071 · outbound

This paper cites Kolmogorov, Sur la loi de grands nombres, Atti Accad.

On nonlinear weak law of large numbers Kolmogorov, Sur la loi de grands nombres, Atti Accad

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:26.274718Z

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=2026-08-07T05:54:23.522762Z digest=sha256:954cf505c3064a64c070223e0b364e14b691a7f73dd2eb51a433c549a0ad4310

Observation d21ddd82-6819-4d88-8aa0-26a1a32749a8 · outbound

This paper cites Kolmogorov, Foundations of the Theory of Probability, 2nd Rus- sian edition, Moscow, Nauka, 1974 (in Russian).

On nonlinear weak law of large numbers Kolmogorov, Foundations of the Theory of Probability, 2nd Rus- sian edition, Moscow, Nauka, 1974 (in Russian)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:54:26.255359Z

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=2026-08-07T05:54:23.680715Z digest=sha256:62fc63f7d75df2982f670ddd88e6906ab2f47b37185d7aa16cf28146162e3783

Observation 97f49de4-8452-425e-a38c-788118330440 · outbound

This paper cites an unresolved cited work.

On nonlinear weak law of large numbers Unresolved cited work

Reference 8

Resolution
verified exact
doi, observed 2026-08-07T05:54:25.107751Z

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=2026-08-07T05:54:23.847590Z digest=sha256:3f057448390a77dfc4cd1568f756ba4d04d956c8bf0e3f9f1bd640a8d2382cf3

Observation 1588e751-84d2-4579-b17d-0b5f6781cc1d · outbound

This paper cites Two laws of large numbers for sublinear expectations.

On nonlinear weak law of large numbers Two laws of large numbers for sublinear expectations

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:54:24.871541Z

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=2026-08-07T05:54:24.038582Z digest=sha256:8d1c74511c004cbb6783222e7614ff6140acf04002904def370514255abe1ec4

Observation 5b1df844-a293-4ab9-939d-549e1cb826fd · outbound

This paper cites Nonlinear Expectations and Stochastic Calculus under Uncertainty.

On nonlinear weak law of large numbers Nonlinear Expectations and Stochastic Calculus under Uncertainty

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:54:24.202459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:54:24.202459Z digest=sha256:e9ac6ce6e6cdb3a4b2b4e02d949ef1abccddfa6b06248fcfcf9b9f95f032e462

Observation 593e146b-b9dd-460d-8873-e0b4cf12623c · outbound

This paper cites Peng, Nonlinear Expectations and Stochastic Calculus under Un- certainty, with Robust CLT and G-Brownian Motion.

On nonlinear weak law of large numbers Peng, Nonlinear Expectations and Stochastic Calculus under Un- certainty, with Robust CLT and G-Brownian Motion

Reference 11

Resolution
verified exact
doi, observed 2026-08-07T05:54:24.658764Z

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=2026-08-07T05:54:24.327374Z digest=sha256:0cf55eaac5f0ec270a3d56a7f34e8e33a27423995e134548dea87c9bf5e43776

Observation ee177491-522e-498c-8970-c384ec650ed0 · outbound

This paper cites Stein's Method for Law of Large Numbers under Sublinear Expectations.

On nonlinear weak law of large numbers Stein's Method for Law of Large Numbers under Sublinear Expectations

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:54:24.579770Z

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=2026-08-07T05:54:24.392617Z digest=sha256:dcf2ac94308102c5b19cf98e2f191f39eb4b8e025f1aeb15ec162cd60a20a350

Pith citing papers

No inbound Pith citation observations are available.