Pith Number

pith:REWTMQ5L

pith:2024:REWTMQ5LRH2PG5T4DIXURYZCXB

not attested not anchored not stored refs pending

Rearranged Stochastic Heat Equation: Ergodicity and Related Gradient Descent on ${\mathcal P}({\mathbb R})$

Fran\c{c}ois Delarue, William R.P. Hammersley

arxiv:2403.16140 v2 · 2024-03-24 · 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{REWTMQ5LRH2PG5T4DIXURYZCXB}

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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.

Cited by

1 paper in Pith

Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation

Receipt and verification

First computed	2026-07-05T08:29:24.790008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

892d3643ab89f4f3767c1a2f48e322b86a7e4968cf73bc879c041e362d706044

Aliases

arxiv: 2403.16140 · arxiv_version: 2403.16140v2 · doi: 10.48550/arxiv.2403.16140 · pith_short_12: REWTMQ5LRH2P · pith_short_16: REWTMQ5LRH2PG5T4 · pith_short_8: REWTMQ5L

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/REWTMQ5LRH2PG5T4DIXURYZCXB \
  | 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: 892d3643ab89f4f3767c1a2f48e322b86a7e4968cf73bc879c041e362d706044

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9eb6fd4a9104b3c4c5e81611b4564cb13985e0af343c662b3e866c09917bd5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-03-24T13:24:01Z",
    "title_canon_sha256": "c48e7ff5358327562d5628e1bdde33b74ec8b40175c091818a91760a9f4bdebe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16140",
    "kind": "arxiv",
    "version": 2
  }
}