Pith Number

pith:7KZVCE5X

pith:2010:7KZVCE5XR74B6SVAZ5DZ552PXM

not attested not anchored not stored refs pending

Basic properties of the Multivariate Fractional Brownian Motion

Anne Philippe (LMJL), Fr\'ed\'eric Lavancier (LMJL), Jean-Fran\c{c}ois Coeurjolly (GIPSA-lab, LJK), Pierre-Olivier Amblard (GIPSA-lab)

arxiv:1007.0828 v2 · 2010-07-06 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KZVCE5XR74B6SVAZ5DZ552PXM}

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.

Cited by

1 paper in Pith

Two-dimensional fractional Brownian motion: Analysis in time and frequency domains

Receipt and verification

First computed	2026-05-18T03:57:00.956847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fab35113b78ff81f4aa0cf479ef74fbb0143eb2042c0f50ad122257d8428c239

Aliases

arxiv: 1007.0828 · arxiv_version: 1007.0828v2 · doi: 10.48550/arxiv.1007.0828 · pith_short_12: 7KZVCE5XR74B · pith_short_16: 7KZVCE5XR74B6SVA · pith_short_8: 7KZVCE5X

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/7KZVCE5XR74B6SVAZ5DZ552PXM \
  | 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: fab35113b78ff81f4aa0cf479ef74fbb0143eb2042c0f50ad122257d8428c239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b84b82d7b9d19e7c41bd53019d9b67fcfcf4c8c134977d9cdfa3c59e6c0aa07",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-06T07:59:37Z",
    "title_canon_sha256": "f0206c6dece2e119eb003f57d7e4409a9889f9b3d831c1620961f50dbbaf5123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0828",
    "kind": "arxiv",
    "version": 2
  }
}