Pith Number

pith:7KOLATPA

pith:2010:7KOLATPACRN4TNVDSD2F7EPI7N

not attested not anchored not stored refs pending

Instants of small amplitude of Brownian motion and application to the Kubilius model

Michel Weber

arxiv:1010.2867 v1 · 2010-10-14 · 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{7KOLATPACRN4TNVDSD2F7EPI7N}

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	2026-05-18T00:40:29.094526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9cb04de0145bc9b6a390f45f91e8fb4cd8882a88e25314eec5c6501d8917b4

Aliases

arxiv: 1010.2867 · arxiv_version: 1010.2867v1 · doi: 10.48550/arxiv.1010.2867 · pith_short_12: 7KOLATPACRN4 · pith_short_16: 7KOLATPACRN4TNVD · pith_short_8: 7KOLATPA

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/7KOLATPACRN4TNVDSD2F7EPI7N \
  | 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: fa9cb04de0145bc9b6a390f45f91e8fb4cd8882a88e25314eec5c6501d8917b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd9ee3c355945074ecef068e2ada151c11e6c4b8d215cccb91e548a3a2b7a364",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-14T09:42:11Z",
    "title_canon_sha256": "f74719bb3e99315a79dcf589825f0b4ceedd4d8b49a4eb15e9372a2caaa56645"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2867",
    "kind": "arxiv",
    "version": 1
  }
}