Pith Number

pith:7JAONAEW

pith:2009:7JAONAEW5YOMUMRCSC3QGIKCRW

not attested not anchored not stored refs pending

A Remark on Zeros of Brownian Motion

Michel Weber

arxiv:0907.1572 v1 · 2009-07-09 · 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{7JAONAEW5YOMUMRCSC3QGIKCRW}

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	2026-05-18T00:40:29.135493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa40e68096ee1cca322290b70321428d982dab1e226c801d82f6735d8ebd8982

Aliases

arxiv: 0907.1572 · arxiv_version: 0907.1572v1 · doi: 10.48550/arxiv.0907.1572 · pith_short_12: 7JAONAEW5YOM · pith_short_16: 7JAONAEW5YOMUMRC · pith_short_8: 7JAONAEW

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/7JAONAEW5YOMUMRCSC3QGIKCRW \
  | 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: fa40e68096ee1cca322290b70321428d982dab1e226c801d82f6735d8ebd8982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c911db26705ca17159406d7841cac4e498e0c8f505999971755c80dfc4895e46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-07-09T14:39:42Z",
    "title_canon_sha256": "2d246b4303fdcae3d3e0d486890f31a8cea70ea4ae457e7ef79709bf54e15b11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1572",
    "kind": "arxiv",
    "version": 1
  }
}