Pith Number

pith:HSQ3QO6N

pith:2005:HSQ3QO6NESVXVM7TFSLSB2DRRN

not attested not anchored not stored refs pending

Coupling all the L\'{e}vy stochastic areas of multidimensional Brownian motion

Wilfrid S. Kendall

arxiv:math/0512336 v2 · 2005-12-14 · 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{HSQ3QO6NESVXVM7TFSLSB2DRRN}

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	2026-05-18T04:08:35.575554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ca1b83bcd24ab7ab3f32c9720e8718b4159522c67ba76847f878398bc8ddfae

Aliases

arxiv: math/0512336 · arxiv_version: math/0512336v2 · doi: 10.48550/arxiv.math/0512336 · pith_short_12: HSQ3QO6NESVX · pith_short_16: HSQ3QO6NESVXVM7T · pith_short_8: HSQ3QO6N

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/HSQ3QO6NESVXVM7TFSLSB2DRRN \
  | 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: 3ca1b83bcd24ab7ab3f32c9720e8718b4159522c67ba76847f878398bc8ddfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b449af082caa2db89fc788e1613afb712ce992383988e7e28a552b79ffb16ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-12-14T17:20:58Z",
    "title_canon_sha256": "e451fd5d4ed3f9ecdaab65585605c3718acdaf33cfd32dc3a99a9d270c7537c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512336",
    "kind": "arxiv",
    "version": 2
  }
}