Pith Number

pith:5GML5SPQ

pith:2024:5GML5SPQSYQ6XXRW4IM47E4BU7

not attested not anchored not stored refs pending

Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds

Cheng Ouyang, Fabrice Baudoin, Hongyi Chen

arxiv:2411.09614 v2 · 2024-11-14 · 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{5GML5SPQSYQ6XXRW4IM47E4BU7}

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	2026-07-05T11:18:40.262908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e998bec9f09621ebde36e219cf9381a7c4ae02eb86cb66190ac896ffbfde47d9

Aliases

arxiv: 2411.09614 · arxiv_version: 2411.09614v2 · doi: 10.48550/arxiv.2411.09614 · pith_short_12: 5GML5SPQSYQ6 · pith_short_16: 5GML5SPQSYQ6XXRW · pith_short_8: 5GML5SPQ

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/5GML5SPQSYQ6XXRW4IM47E4BU7 \
  | 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: e998bec9f09621ebde36e219cf9381a7c4ae02eb86cb66190ac896ffbfde47d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e58fdd7fd3aead806a8a7af6d0656a5417d432ecfcd5d78bdeffc1e2a8c7b546",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-14T17:33:44Z",
    "title_canon_sha256": "4472c4796b1e1783e7172da6cd9da80441543f3d59dd94d4882852272d14ed02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09614",
    "kind": "arxiv",
    "version": 2
  }
}