Pith Number

pith:4QRFPNWE

pith:2025:4QRFPNWEAKIKQ7H7CNKG2OQ5UG

not attested not anchored not stored refs pending

A Smoluchowski-Kramers approximation for the stochastic variational wave equation

Billel Guelmame, Julien Vovelle

arxiv:2511.13567 v2 · 2025-11-17 · math.AP · 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{4QRFPNWEAKIKQ7H7CNKG2OQ5UG}

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	2026-06-04T01:09:39.638886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e42257b6c40290a87cff13546d3a1da18e0357f62cd593acd0dca976db84b235

Aliases

arxiv: 2511.13567 · arxiv_version: 2511.13567v2 · doi: 10.48550/arxiv.2511.13567 · pith_short_12: 4QRFPNWEAKIK · pith_short_16: 4QRFPNWEAKIKQ7H7 · pith_short_8: 4QRFPNWE

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/4QRFPNWEAKIKQ7H7CNKG2OQ5UG \
  | 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: e42257b6c40290a87cff13546d3a1da18e0357f62cd593acd0dca976db84b235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "235fe7954d8b06d44cb12ed3bea65a19361a4e30aa426206e4f90a193d73200a",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-11-17T16:35:42Z",
    "title_canon_sha256": "afb0a32c942c2f91363ffbc0dc7a0781a2a0a0fc7940376fa1b45c1182a8b144"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.13567",
    "kind": "arxiv",
    "version": 2
  }
}