Pith Number

pith:J3HGE5VE

pith:2012:J3HGE5VE566ODXWDAWOTWYB5WD

not attested not anchored not stored refs pending

Record-dependent measures on the symmetric groups

Alexander Gnedin, Vadim Gorin

arxiv:1202.3680 v2 · 2012-02-16 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J3HGE5VE566ODXWDAWOTWYB5WD}

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	2026-05-18T02:59:06.616676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ece6276a4efbce1dec3059d3b603db0e0a712002a72e5ab6bcea46d6fd58253

Aliases

arxiv: 1202.3680 · arxiv_version: 1202.3680v2 · doi: 10.48550/arxiv.1202.3680 · pith_short_12: J3HGE5VE566O · pith_short_16: J3HGE5VE566ODXWD · pith_short_8: J3HGE5VE

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/J3HGE5VE566ODXWDAWOTWYB5WD \
  | 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: 4ece6276a4efbce1dec3059d3b603db0e0a712002a72e5ab6bcea46d6fd58253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "925e4e165f1cb562bd89ee68f76ae7c6b513f5dbd1620c3893ec870b54995fe7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-16T19:44:03Z",
    "title_canon_sha256": "f2f5e1e3b3bce5142626f95de735cdb1fc19e4e7eb891225b6c473e95d7e3aed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3680",
    "kind": "arxiv",
    "version": 2
  }
}