Pith Number

pith:PIQMXG7Z

pith:2011:PIQMXG7ZBD66PQL4NG3JZVTFIQ

not attested not anchored not stored refs pending

Variational formulation of the Fokker-Planck equation with decay: a particle approach

Marco Veneroni, Mark Peletier, Michiel Renger

arxiv:1108.3181 v3 · 2011-08-16 · math.AP · math.FA · 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{PIQMXG7ZBD66PQL4NG3JZVTFIQ}

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	2026-05-18T03:31:41.909222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a20cb9bf908fde7c17c69b69cd665440dcc5fd379c43195c8f99c41dc0a736b

Aliases

arxiv: 1108.3181 · arxiv_version: 1108.3181v3 · doi: 10.48550/arxiv.1108.3181 · pith_short_12: PIQMXG7ZBD66 · pith_short_16: PIQMXG7ZBD66PQL4 · pith_short_8: PIQMXG7Z

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/PIQMXG7ZBD66PQL4NG3JZVTFIQ \
  | 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: 7a20cb9bf908fde7c17c69b69cd665440dcc5fd379c43195c8f99c41dc0a736b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8730433078ed09065035c7ce6203b250aa5b985e92088736a0a25b42e2ba4970",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-16T08:48:28Z",
    "title_canon_sha256": "d2ce22a7b6527afa6501b08869d12a016257e0a30c53258f3cc328070cf46f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3181",
    "kind": "arxiv",
    "version": 3
  }
}