Pith Number

pith:OAO5AQWX

pith:2011:OAO5AQWXPLBNE3YQDF3BVPKD75

not attested not anchored not stored refs pending

Upper bounds for the density of solutions of stochastic differential equations driven by fractional Brownian motions

Cheng Ouyang, Fabrice Baudoin, Samy Tindel

arxiv:1104.3884 v1 · 2011-04-19 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAO5AQWXPLBNE3YQDF3BVPKD75}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:23:47.524367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

701dd042d77ac2d26f1019761abd43ff765d2b07bbf592b4671d1df17974bb9f

Aliases

arxiv: 1104.3884 · arxiv_version: 1104.3884v1 · doi: 10.48550/arxiv.1104.3884 · pith_short_12: OAO5AQWXPLBN · pith_short_16: OAO5AQWXPLBNE3YQ · pith_short_8: OAO5AQWX

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/OAO5AQWXPLBNE3YQDF3BVPKD75 \
  | 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: 701dd042d77ac2d26f1019761abd43ff765d2b07bbf592b4671d1df17974bb9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdcc9a55e51214dc4eb5fe1835987ce377bb8578d083bfd81606a37897e46765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-19T21:30:04Z",
    "title_canon_sha256": "8859410b691ad7d5c9fbfb3bc311cbf5b44cf37c5be7c9ef569cdfa6d5724a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3884",
    "kind": "arxiv",
    "version": 1
  }
}