Pith Number

pith:NSYMBJD4

pith:2012:NSYMBJD4WA3I2R5224RBBZQ6K7

not attested not anchored not stored refs pending

Extended Griess algebras and Matsuo-Norton trace formulae

Hiroshi Yamauchi

arxiv:1206.3380 v1 · 2012-06-15 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSYMBJD4WA3I2R5224RBBZQ6K7}

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	2026-05-18T03:53:30.443969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cb0c0a47cb0368d47bad72210e61e57e4a22ff9c8f0e19d582f5e0c7e4cd1d6

Aliases

arxiv: 1206.3380 · arxiv_version: 1206.3380v1 · doi: 10.48550/arxiv.1206.3380 · pith_short_12: NSYMBJD4WA3I · pith_short_16: NSYMBJD4WA3I2R52 · pith_short_8: NSYMBJD4

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/NSYMBJD4WA3I2R5224RBBZQ6K7 \
  | 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: 6cb0c0a47cb0368d47bad72210e61e57e4a22ff9c8f0e19d582f5e0c7e4cd1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d760caf8b1206fe53a1404f0e770c133f1bcdaa1fa6c660c28a7b6ce0c32d498",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-06-15T07:09:09Z",
    "title_canon_sha256": "3d869aad322b224cba6bc868d09fb90baa0510815561f9d4a902c32d3bb30a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3380",
    "kind": "arxiv",
    "version": 1
  }
}