Pith Number

pith:ZH3TPGK2

pith:2010:ZH3TPGK2UBAAXHF6B6D7O6LK2Y

not attested not anchored not stored refs pending

Brownian motion with variable drift: 0-1 laws, hitting probabilities and Hausdorff dimension

Perla Sousi, Yuval Peres

arxiv:1010.2987 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{ZH3TPGK2UBAAXHF6B6D7O6LK2Y}

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	2026-05-18T04:39:18.696335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9f737995aa0400b9cbe0f87f7796ad60c27fff4e12acc18254f25ce1060e2e7

Aliases

arxiv: 1010.2987 · arxiv_version: 1010.2987v1 · doi: 10.48550/arxiv.1010.2987 · pith_short_12: ZH3TPGK2UBAA · pith_short_16: ZH3TPGK2UBAAXHF6 · pith_short_8: ZH3TPGK2

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/ZH3TPGK2UBAAXHF6B6D7O6LK2Y \
  | 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: c9f737995aa0400b9cbe0f87f7796ad60c27fff4e12acc18254f25ce1060e2e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95b8d75b5a4d2e809ab8d5a795db11837aee380b879b8fcd4fc32a2cd3016ad5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-14T17:33:58Z",
    "title_canon_sha256": "b8a886a9ffb38b8fd0d35c696d919670fbbba848184f059d3159340e082357fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2987",
    "kind": "arxiv",
    "version": 1
  }
}