Pith Number

pith:JJFS2N22

pith:2010:JJFS2N22CUJF75TCSYWRTF6HYQ

not attested not anchored not stored refs pending

Integral Octonions, Octonion XY-Product, and the Leech Lattice

Geoffrey Dixon

arxiv:1011.2541 v1 · 2010-11-11 · hep-th · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJFS2N22CUJF75TCSYWRTF6HYQ}

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	2026-05-18T04:36:10.086413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a4b2d375a15125ff662962d1997c7c42249a28febd0ee7fb3a97caa93bef850

Aliases

arxiv: 1011.2541 · arxiv_version: 1011.2541v1 · doi: 10.48550/arxiv.1011.2541 · pith_short_12: JJFS2N22CUJF · pith_short_16: JJFS2N22CUJF75TC · pith_short_8: JJFS2N22

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/JJFS2N22CUJF75TCSYWRTF6HYQ \
  | 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: 4a4b2d375a15125ff662962d1997c7c42249a28febd0ee7fb3a97caa93bef850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5724fb06930655005ce3f80a5b818de713544297a90ee7416049715f8cec180f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-11-11T00:58:17Z",
    "title_canon_sha256": "2c5bd62fc2528ce1e2eafcbdf8e1923fb8231f0bec1a21366983e769bd93e90a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2541",
    "kind": "arxiv",
    "version": 1
  }
}