Pith Number

pith:OAB7XACD

pith:2013:OAB7XACDJNE7JKUNKMR6GBK4CO

not attested not anchored not stored refs pending

Forward-backward systems of stochastic differential equations generated by Bernstein diffusions

Ana Bela Cruzeiro, Pierre-A. Vuillermot

arxiv:1305.4388 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{OAB7XACDJNE7JKUNKMR6GBK4CO}

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	2026-05-18T03:25:23.873288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7003fb80434b49f4aa8d5323e3055c13b40ad2627c198737dd35ba93c2e5fa41

Aliases

arxiv: 1305.4388 · arxiv_version: 1305.4388v1 · doi: 10.48550/arxiv.1305.4388 · pith_short_12: OAB7XACDJNE7 · pith_short_16: OAB7XACDJNE7JKUN · pith_short_8: OAB7XACD

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/OAB7XACDJNE7JKUNKMR6GBK4CO \
  | 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: 7003fb80434b49f4aa8d5323e3055c13b40ad2627c198737dd35ba93c2e5fa41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11214480972f4d5917779a472d531728a438306a96384341c66cbba79443a9a5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-19T18:23:13Z",
    "title_canon_sha256": "173203a99fe5724aa4fdc2cab0588b9576c633a01623ea0a4c6fa5e6273d5e3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4388",
    "kind": "arxiv",
    "version": 1
  }
}