Pith Number

pith:DW77SF76

pith:2013:DW77SF76MRWZH5SO5D3T36GLQG

not attested not anchored not stored refs pending

Limit Theorems for Empirical Density of Greatest Common Divisors

Behzad Mehrdad, Lingjiong Zhu

arxiv:1310.7260 v4 · 2013-10-27 · math.PR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DW77SF76MRWZH5SO5D3T36GLQG}

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	2026-05-18T01:03:06.748296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dbff917fe646d93f64ee8f73df8cb81a80d2cba709a2f2b0b5d3d6066864e0a

Aliases

arxiv: 1310.7260 · arxiv_version: 1310.7260v4 · doi: 10.48550/arxiv.1310.7260 · pith_short_12: DW77SF76MRWZ · pith_short_16: DW77SF76MRWZH5SO · pith_short_8: DW77SF76

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/DW77SF76MRWZH5SO5D3T36GLQG \
  | 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: 1dbff917fe646d93f64ee8f73df8cb81a80d2cba709a2f2b0b5d3d6066864e0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e668f867da34bf5e932218813c47334bf71b78f97f4bd79ef094dc40e0bfeb7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-27T22:27:03Z",
    "title_canon_sha256": "32194a9e230583a8f14794fc4a7271e0bc364fb98f7777d8e13f70b9faf0d051"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7260",
    "kind": "arxiv",
    "version": 4
  }
}