Pith Number

pith:JEZ5SAYX

pith:2012:JEZ5SAYXNDMZ4S4O6ESD5URMHF

not attested not anchored not stored refs pending

What is special about the divisors of 12?

Michael Mayers, Sunil K. Chebolu

arxiv:1212.3347 v1 · 2012-12-13 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEZ5SAYXNDMZ4S4O6ESD5URMHF}

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	2026-05-18T03:38:32.472685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4933d9031768d99e4b8ef1243ed22c39416178dc108f74bd90d3411f17e99672

Aliases

arxiv: 1212.3347 · arxiv_version: 1212.3347v1 · doi: 10.48550/arxiv.1212.3347 · pith_short_12: JEZ5SAYXNDMZ · pith_short_16: JEZ5SAYXNDMZ4S4O · pith_short_8: JEZ5SAYX

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/JEZ5SAYXNDMZ4S4O6ESD5URMHF \
  | 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: 4933d9031768d99e4b8ef1243ed22c39416178dc108f74bd90d3411f17e99672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0233e0e80652573ca15c56f5b4e8895cf0f1dd8ff9a3dc1cae89040ac866ebc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-12-13T21:19:39Z",
    "title_canon_sha256": "4cc6871eeb85111ab1c3a3310d6fa03e853f1a1e883748d05b54ac09836c34e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3347",
    "kind": "arxiv",
    "version": 1
  }
}