Pith Number

pith:ZHDJQHVE

pith:2011:ZHDJQHVEUOVXCCXRVWIP7DS7UY

not attested not anchored not stored refs pending

Ordered random walks with heavy tails

Denis Denisov, Vitali Wachtel

arxiv:1103.4529 v1 · 2011-03-23 · 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{ZHDJQHVEUOVXCCXRVWIP7DS7UY}

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	2026-05-18T04:26:01.846575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c6981ea4a3ab710af1ad90ff8e5fa60d897a27b93f666c48a822c3d95cb387

Aliases

arxiv: 1103.4529 · arxiv_version: 1103.4529v1 · doi: 10.48550/arxiv.1103.4529 · pith_short_12: ZHDJQHVEUOVX · pith_short_16: ZHDJQHVEUOVXCCXR · pith_short_8: ZHDJQHVE

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/ZHDJQHVEUOVXCCXRVWIP7DS7UY \
  | 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: c9c6981ea4a3ab710af1ad90ff8e5fa60d897a27b93f666c48a822c3d95cb387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d35f912a587b6d4667dd6e4afd5206d710d82da117730b5ddf5f0a953b19007",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-23T14:23:37Z",
    "title_canon_sha256": "91d9937d60b5af92b98f2a2e4090b850ffdfa7898fcc7e8f8e5d11a0ea6903b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4529",
    "kind": "arxiv",
    "version": 1
  }
}