Pith Number

pith:PKXMHP27

pith:2009:PKXMHP27KLFSZ3TCU5XEOGEEGC

not attested not anchored not stored refs pending

Projecting the Fokker-Planck Equation onto a finite dimensional exponential family

Damiano Brigo, Giovanni Pistone

arxiv:0901.1308 v1 · 2009-01-09 · 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{PKXMHP27KLFSZ3TCU5XEOGEEGC}

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	2026-07-04T15:35:57.944518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aaec3bf5f52cb2cee62a76e47188430acbd55bcefbf17629a77df9c79976f67

Aliases

arxiv: 0901.1308 · arxiv_version: 0901.1308v1 · doi: 10.48550/arxiv.0901.1308 · pith_short_12: PKXMHP27KLFS · pith_short_16: PKXMHP27KLFSZ3TC · pith_short_8: PKXMHP27

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/PKXMHP27KLFSZ3TCU5XEOGEEGC \
  | 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: 7aaec3bf5f52cb2cee62a76e47188430acbd55bcefbf17629a77df9c79976f67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98ae3efd7e6985fe38597ae90e38da0b9b28169ee90c296591eb2d248f6b3e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-01-09T20:18:26Z",
    "title_canon_sha256": "232016348aed50b56eadd8133895d41476f353991cd80d44baf7e0cac69cb19c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.1308",
    "kind": "arxiv",
    "version": 1
  }
}