Pith Number

pith:VANGCMYY

pith:2012:VANGCMYY2F5FXQAM3QUBGUGUP7

not attested not anchored not stored refs pending

A Characterization of a New Type of Strong Law of Large Numbers

Andrew Rosalsky, Deli Li, Yongcheng Qi

arxiv:1210.6336 v1 · 2012-10-23 · 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{VANGCMYY2F5FXQAM3QUBGUGUP7}

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	2026-05-18T03:42:32.670852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a81a613318d17a5bc00cdc281350d47ffa426b39f2abf9ea2f1f68c249d33b00

Aliases

arxiv: 1210.6336 · arxiv_version: 1210.6336v1 · doi: 10.48550/arxiv.1210.6336 · pith_short_12: VANGCMYY2F5F · pith_short_16: VANGCMYY2F5FXQAM · pith_short_8: VANGCMYY

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/VANGCMYY2F5FXQAM3QUBGUGUP7 \
  | 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: a81a613318d17a5bc00cdc281350d47ffa426b39f2abf9ea2f1f68c249d33b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014d6a7d4d7182e328bbe4efd471b740df3f2b2f100f4da63c3f264415d444df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-23T19:43:59Z",
    "title_canon_sha256": "37893fddf26de73a8c3b22e51ea0061c7f20435fbb36d5bcae8c8e963e715c43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6336",
    "kind": "arxiv",
    "version": 1
  }
}