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Paper Citation Record · LEDGER

Mathematical research with GPT-5: a Malliavin-Stein experiment

As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2509.03065.

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

pith.paper-citation-record.v1
2509.03065 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:20:12.708133Z

measured 11 of 11 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:05:55.919446Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

  • verified exact6
  • verified fuzzy4
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ecab5468-195a-4118-8599-6e4ffafcfe20 · outbound

This paper cites Fourth-Moment Theorems for Sums of Multiple Integrals.

Mathematical research with GPT-5: a Malliavin-Stein experiment Fourth-Moment Theorems for Sums of Multiple Integrals

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:20:13.048567Z

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=2026-08-05T11:20:12.677932Z digest=sha256:6ed15d8bff3fd3a624a1f189ee3d6696e32998df485f94672a7e39ab567c1cb0

Observation 1f9e0ca8-810d-4fb7-b98f-881280784352 · outbound

This paper cites an unresolved cited work.

Mathematical research with GPT-5: a Malliavin-Stein experiment Unresolved cited work

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-05T11:20:13.035588Z

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=2026-08-05T11:20:12.681945Z digest=sha256:cd5ae61cdd6ea03e28d92472f2aed62e40bd92610ffe39af5fa8a887580413fc

Observation 1f3bdf95-defb-44f1-a230-1b4fee0edbd7 · outbound

This paper cites Fourth moment theorems on the Poisson space in any dimension.

Mathematical research with GPT-5: a Malliavin-Stein experiment Fourth moment theorems on the Poisson space in any dimension

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:20:12.904470Z

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=2026-08-05T11:20:12.685382Z digest=sha256:60e0b7affa1e2b17dd34ea470507e66aeaf69cda7c57bc5fbbf5d04057497f0d

Observation cb78ca3b-6679-446a-a3fe-2f35065c074c · outbound

This paper cites Asymptotic behavior of weighted quadratic and cubic variations of fractional Brownian motion.

Mathematical research with GPT-5: a Malliavin-Stein experiment Asymptotic behavior of weighted quadratic and cubic variations of fractional Brownian motion

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:20:12.891736Z

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=2026-08-05T11:20:12.688988Z digest=sha256:983a2d9983fc1aec329e7dc9122dd0adaf3bfdb729a396a03f6fcd6bc25f1709

Observation e4ccdaba-0450-4c6b-a756-29bf93dc9d1f · outbound

This paper cites Lectures on Gaussian approximations with Malliavin calculus.

Mathematical research with GPT-5: a Malliavin-Stein experiment Lectures on Gaussian approximations with Malliavin calculus

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:20:12.878407Z

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=2026-08-05T11:20:12.692734Z digest=sha256:4265c4def28cf070d2d2644b991e476fdacbd62c3d2ef1770dff54a695ea538d

Observation 7a64daf9-0ed6-44e3-85d2-059d24fb4471 · outbound

This paper cites Nourdin and G.

Mathematical research with GPT-5: a Malliavin-Stein experiment Nourdin and G

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:20:13.091954Z

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=2026-08-05T11:20:12.696584Z digest=sha256:9dc237a2543c272e6d234ac855479b9d3b4eff452d73d1f90dc27f5513c4e937

Observation 8e6b298b-1e6b-4893-af36-31bef4e86244 · outbound

This paper cites Nourdin and J.

Mathematical research with GPT-5: a Malliavin-Stein experiment Nourdin and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:20:13.082744Z

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=2026-08-05T11:20:12.699513Z digest=sha256:44ae10e962816bc5f70c8545d42579aebed49466889b57bf0e884e6d9fa8a020

Observation 50cf12aa-8fe2-4445-941c-0e43b0f7ac88 · outbound

This paper cites Nualart and G.

Mathematical research with GPT-5: a Malliavin-Stein experiment Nualart and G

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:20:13.073109Z

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=2026-08-05T11:20:12.702455Z digest=sha256:38236c04697f2ac06046dff4c2a8823380b6fc9237dd7baf260fe297ba29ec0e

Observation 06115484-32af-4e4e-9584-92bc7907d97e · outbound

This paper cites Nualart (2006).

Mathematical research with GPT-5: a Malliavin-Stein experiment Nualart (2006)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:20:13.059237Z

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=2026-08-05T11:20:12.705252Z digest=sha256:63dcc1bcc8ca3c894424019be1d3874c355dc92b878e6717a9f31b95cda3dc52

Observation f7f5d849-a273-4b58-afea-7e5cfda46c24 · outbound

This paper cites The goal is to document the process in a transparent way and to offer visual evidence supporting the descriptions given in the main text.

Mathematical research with GPT-5: a Malliavin-Stein experiment The goal is to document the process in a transparent way and to offer visual evidence supporting the descriptions given in the main text

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-05T11:20:12.864686Z

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=2026-08-05T11:20:12.708133Z digest=sha256:acef8cfec87721deb4a08a95e160252067a3b121703c39e9a098be38318e9392

Pith citing papers

Observation 5cb223fe-f231-4995-872c-325d810d418e · inbound

LemmaBench: A Live, Research-Level Benchmark to Evaluate LLM Capabilities in Mathematics cites this paper.

LemmaBench: A Live, Research-Level Benchmark to Evaluate LLM Capabilities in Mathematics Mathematical research with GPT-5: a Malliavin-Stein experiment

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T20:05:55.919446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:05:55.919446Z digest=sha256:1256fc239963927875af3b410e27c935b0efd348be1fb2200b813ea40683b0c2