Pith Number

pith:5AILK6V7

pith:2012:5AILK6V7KJE4SXT26L6OQASEVC

not attested not anchored not stored refs pending

Infinite dimensional weak Dirichlet processes, stochastic PDEs and optimal control

Francesco Russo (ENSTA ParisTech UMA), Giorgio Fabbri (EPEE)

arxiv:1207.5710 v2 · 2012-07-24 · 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{5AILK6V7KJE4SXT26L6OQASEVC}

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	2026-05-18T01:12:36.788622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e810b57abf5249c95e7af2fce80244a8b51eab669bf38aef0deb22f360529e18

Aliases

arxiv: 1207.5710 · arxiv_version: 1207.5710v2 · doi: 10.48550/arxiv.1207.5710 · pith_short_12: 5AILK6V7KJE4 · pith_short_16: 5AILK6V7KJE4SXT2 · pith_short_8: 5AILK6V7

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/5AILK6V7KJE4SXT26L6OQASEVC \
  | 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: e810b57abf5249c95e7af2fce80244a8b51eab669bf38aef0deb22f360529e18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c529468cf2f428473c237efbab2dacaf70f8b04c9287d0566e8eae04bacfc7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-24T14:27:12Z",
    "title_canon_sha256": "a09ea6cb277eab59bf9d36d1bbf962bf33630498e8e3e0d2bebcd4c56b77abb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5710",
    "kind": "arxiv",
    "version": 2
  }
}