Pith Number

pith:PGYZJIPR

pith:2025:PGYZJIPRVATREQXU7WQ62SXFPZ

not attested not anchored not stored refs pending

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

Charles-Philippe Diez, Ivan Nourdin, Luis da Maia

arxiv:2509.03065 v1 · 2025-09-03 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGYZJIPRVATREQXU7WQ62SXFPZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T12:04:03.333694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79b194a1f1a8271242f4fda1ed4ae57e57d458787a7ab973b898ddae71890cda

Aliases

arxiv: 2509.03065 · arxiv_version: 2509.03065v1 · doi: 10.48550/arxiv.2509.03065 · pith_short_12: PGYZJIPRVATR · pith_short_16: PGYZJIPRVATREQXU · pith_short_8: PGYZJIPR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PGYZJIPRVATREQXU7WQ62SXFPZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 79b194a1f1a8271242f4fda1ed4ae57e57d458787a7ab973b898ddae71890cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "045d423203532e9021e77efa48aed532a7ec03de6b64b2c4278e0751827170a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-03T06:50:47Z",
    "title_canon_sha256": "b2bf514ee518f0061000a20ffb81741ee86317b11b6a6ae42546d12973f3b301"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03065",
    "kind": "arxiv",
    "version": 1
  }
}