Pith Number

pith:Q6F6YKUN

pith:2010:Q6F6YKUN5EEU3QJCXW23HR2TQN

not attested not anchored not stored refs pending

Approximating a geometric fractional Brownian motion and related processes via discrete Wick calculus

Christian Bender, Peter Parczewski

arxiv:1010.1666 v1 · 2010-10-08 · 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{Q6F6YKUN5EEU3QJCXW23HR2TQN}

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	2026-05-18T04:39:39.953203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

878bec2a8de9094dc122bdb5b3c75383586c0ac9b0e36490f8e0bf214e84dcbf

Aliases

arxiv: 1010.1666 · arxiv_version: 1010.1666v1 · doi: 10.48550/arxiv.1010.1666 · pith_short_12: Q6F6YKUN5EEU · pith_short_16: Q6F6YKUN5EEU3QJC · pith_short_8: Q6F6YKUN

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/Q6F6YKUN5EEU3QJCXW23HR2TQN \
  | 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: 878bec2a8de9094dc122bdb5b3c75383586c0ac9b0e36490f8e0bf214e84dcbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2f5e5ea1532df3c5b6bbbec7249d8fe72f0b2d8d48036757386ecf7cf94e81",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-10-08T11:34:30Z",
    "title_canon_sha256": "8721caa382af2943338d140989c17ab14d71e87ad186aa01d588952879100f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1666",
    "kind": "arxiv",
    "version": 1
  }
}