Pith Number

pith:7CQASSVF

pith:2009:7CQASSVFUX3D2TAFQHSZMI64RJ

not attested not anchored not stored refs pending

A construction of the rough path above fractional Brownian motion using Volterra's representation

David Nualart, Samy Tindel

arxiv:0909.1307 v2 · 2009-09-07 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CQASSVFUX3D2TAFQHSZMI64RJ}

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	2026-05-18T04:08:44.939567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a0094aa5a5f63d4c0581e59623dc8a5a6b0945b9f358faa109361329d47a07

Aliases

arxiv: 0909.1307 · arxiv_version: 0909.1307v2 · doi: 10.48550/arxiv.0909.1307 · pith_short_12: 7CQASSVFUX3D · pith_short_16: 7CQASSVFUX3D2TAF · pith_short_8: 7CQASSVF

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/7CQASSVFUX3D2TAFQHSZMI64RJ \
  | 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: f8a0094aa5a5f63d4c0581e59623dc8a5a6b0945b9f358faa109361329d47a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22803166f94c344c76baead50b23cb970d4b1e344c236b9633729abb47113a9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-07T18:48:11Z",
    "title_canon_sha256": "5dbba3020c8e9304a93b4574273e1a27b1dc220d95685b724c555a089945ce49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1307",
    "kind": "arxiv",
    "version": 2
  }
}