Pith Number

pith:GMJIOA6M

pith:2013:GMJIOA6MCJKXUJK2EPOON6U5EL

not attested not anchored not stored refs pending

Asymptotic normality and greatest common divisors

Jos\'e L. Fern\'andez, Pablo Fern\'andez

arxiv:1302.2357 v2 · 2013-02-10 · 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{GMJIOA6MCJKXUJK2EPOON6U5EL}

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	2026-05-18T01:24:19.533598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33128703cc12557a255a23dce6fa9d22deaa21b756fe5f4930b65feb8dba35be

Aliases

arxiv: 1302.2357 · arxiv_version: 1302.2357v2 · doi: 10.48550/arxiv.1302.2357 · pith_short_12: GMJIOA6MCJKX · pith_short_16: GMJIOA6MCJKXUJK2 · pith_short_8: GMJIOA6M

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/GMJIOA6MCJKXUJK2EPOON6U5EL \
  | 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: 33128703cc12557a255a23dce6fa9d22deaa21b756fe5f4930b65feb8dba35be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84fb8a4aa088f9f0629b6533f9863da15bea577512c06fca8ea2e2e884c0b431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-10T20:16:23Z",
    "title_canon_sha256": "528c9b290680c2ef8751bb98aa0ac0405f905e4a1c8019b00052b0afeca63556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2357",
    "kind": "arxiv",
    "version": 2
  }
}