Pith Number

pith:4RR4DCL3

pith:2009:4RR4DCL3Y4YGMVHR4BJVEKZSB2

not attested not anchored not stored refs pending

Brownian and fractional Brownian stochastic currents via Malliavin calculus

Ciprian Tudor (CES, Franco Flandoli, Samos)

arxiv:0907.0292 v1 · 2009-07-02 · 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{4RR4DCL3Y4YGMVHR4BJVEKZSB2}

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	2026-05-18T04:40:54.669929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e463c1897bc7306654f1e053522b320e9416d197cb7a994519ac9981fbea611f

Aliases

arxiv: 0907.0292 · arxiv_version: 0907.0292v1 · doi: 10.48550/arxiv.0907.0292 · pith_short_12: 4RR4DCL3Y4YG · pith_short_16: 4RR4DCL3Y4YGMVHR · pith_short_8: 4RR4DCL3

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/4RR4DCL3Y4YGMVHR4BJVEKZSB2 \
  | 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: e463c1897bc7306654f1e053522b320e9416d197cb7a994519ac9981fbea611f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5be32e61c5a630ced250295924a90128ffc4f32ff1e06a963a7d7b629b84403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-02T06:30:44Z",
    "title_canon_sha256": "91f9d464036ca2fc563b425a34a305b74ddbedbeebe1bd38a27460ca17abac2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0292",
    "kind": "arxiv",
    "version": 1
  }
}