Pith Number

pith:FCOBQ6VX

pith:2013:FCOBQ6VXDIJNE23POGGHJOYELE

not attested not anchored not stored refs pending

Bernstein diffusions for a class of linear parabolic partial differential equations

Jean-C. Zambrini, Pierre-A. Vuillermot

arxiv:1305.4392 v1 · 2013-05-19 · 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{FCOBQ6VXDIJNE23POGGHJOYELE}

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	2026-05-18T03:25:23.853516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289c187ab71a12d26b6f718c74bb045907d6c9eb110e797cf020eab4a396dce9

Aliases

arxiv: 1305.4392 · arxiv_version: 1305.4392v1 · doi: 10.48550/arxiv.1305.4392 · pith_short_12: FCOBQ6VXDIJN · pith_short_16: FCOBQ6VXDIJNE23P · pith_short_8: FCOBQ6VX

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/FCOBQ6VXDIJNE23POGGHJOYELE \
  | 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: 289c187ab71a12d26b6f718c74bb045907d6c9eb110e797cf020eab4a396dce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cca4ce3dd48f86867beabccf06338c8845191068189f63df1caa0bde0089c73",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-19T18:50:05Z",
    "title_canon_sha256": "253337b3f7c2989c5b5e09099ce2f4f8c028348d3cee00d7762183b9db911e58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4392",
    "kind": "arxiv",
    "version": 1
  }
}