Pith Number

pith:QJ3JASU7

pith:2012:QJ3JASU7LBUKDZY5HL2KI3AKRY

not attested not anchored not stored refs pending

On the most visited sites of planar Brownian motion

Peter M\"orters, Valentina Cammarota

arxiv:1202.1847 v1 · 2012-02-08 · 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{QJ3JASU7LBUKDZY5HL2KI3AKRY}

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	2026-05-18T00:26:40.557925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8276904a9f5868a1e71d3af4a46c0a8e33750b7705e3aef97f09aa17ff11b01d

Aliases

arxiv: 1202.1847 · arxiv_version: 1202.1847v1 · doi: 10.48550/arxiv.1202.1847 · pith_short_12: QJ3JASU7LBUK · pith_short_16: QJ3JASU7LBUKDZY5 · pith_short_8: QJ3JASU7

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/QJ3JASU7LBUKDZY5HL2KI3AKRY \
  | 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: 8276904a9f5868a1e71d3af4a46c0a8e33750b7705e3aef97f09aa17ff11b01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef42deaf50a3b3df499a180a939ebc42a54d178691bd97e2d5ad3a4d98d9634b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-08T22:14:49Z",
    "title_canon_sha256": "3664dd301029fae73c58822dd8a242d95b58e6e79471c0455fce96c64fc75440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1847",
    "kind": "arxiv",
    "version": 1
  }
}