Pith Number

pith:HJ22ZJVQ

pith:2014:HJ22ZJVQZCINUWIAHBQUREXTH3

not attested not anchored not stored refs pending

Law of large numbers for random walk with unbounded jumps and BDP with bounded jumps in random environment

Hua-Ming Wang

arxiv:1406.6222 v3 · 2014-06-24 · 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{HJ22ZJVQZCINUWIAHBQUREXTH3}

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	2026-05-18T02:41:41.328051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a75aca6b0c890da590038614892f33ef5247e5b143effa3a52b93223e710553

Aliases

arxiv: 1406.6222 · arxiv_version: 1406.6222v3 · doi: 10.48550/arxiv.1406.6222 · pith_short_12: HJ22ZJVQZCIN · pith_short_16: HJ22ZJVQZCINUWIA · pith_short_8: HJ22ZJVQ

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/HJ22ZJVQZCINUWIAHBQUREXTH3 \
  | 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: 3a75aca6b0c890da590038614892f33ef5247e5b143effa3a52b93223e710553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efa2fd52ab21284273f15d1f4986a4a7de1b396f39c46ab75e73751f29266456",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-24T12:56:15Z",
    "title_canon_sha256": "710be9edd234f364f3b0edcf9e76fb25193c18e189d787d9f7b58e9204095bbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6222",
    "kind": "arxiv",
    "version": 3
  }
}