Pith Number

pith:6IAI6N45

pith:2010:6IAI6N45RC6MFZ7OUPLF6YHD5X

not attested not anchored not stored refs pending

A series of algebras generalizing the octonions and Hurwitz-Radon identity

Sophie Morier-Genoud, Valentin Ovsienko

arxiv:1003.0429 v4 · 2010-03-01 · math.RA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IAI6N45RC6MFZ7OUPLF6YHD5X}

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	2026-05-18T02:08:47.922625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2008f379d88bcc2e7eea3d65f60e3edc3b8e99437a335c8cb2772efd776fd2a

Aliases

arxiv: 1003.0429 · arxiv_version: 1003.0429v4 · doi: 10.48550/arxiv.1003.0429 · pith_short_12: 6IAI6N45RC6M · pith_short_16: 6IAI6N45RC6MFZ7O · pith_short_8: 6IAI6N45

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/6IAI6N45RC6MFZ7OUPLF6YHD5X \
  | 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: f2008f379d88bcc2e7eea3d65f60e3edc3b8e99437a335c8cb2772efd776fd2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333605f1e6dafa72adfc36bfeace8eb0169a67eecb39f20f17b0d02fe53a9b05",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-03-01T19:25:25Z",
    "title_canon_sha256": "f01aa8bf40b117a661b1540bab4d272364a4bb672154655948aa298a5f23d79d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0429",
    "kind": "arxiv",
    "version": 4
  }
}