Pith Number

pith:VOL655TD

pith:2010:VOL655TDV4EBNBKZD4JOB7URPT

not attested not anchored not stored refs pending

Division Algebras; Spinors; Idempotents; The Algebraic Structure of Reality

Geoffrey M Dixon

arxiv:1012.1304 v1 · 2010-12-06 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOL655TDV4EBNBKZD4JOB7URPT}

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.

Cited by

3 papers in Pith

Octonions, complex structures and Standard Model fermions

A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra

Electroweak Structure and Three Fermion Generations in Clifford Algebra with S3 Family Symmetry

Receipt and verification

First computed	2026-05-18T04:34:01.618983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab97eef663af081685591f12e0fe917cec4648c0237f3d6042478cb080b138af

Aliases

arxiv: 1012.1304 · arxiv_version: 1012.1304v1 · doi: 10.48550/arxiv.1012.1304 · pith_short_12: VOL655TDV4EB · pith_short_16: VOL655TDV4EBNBKZ · pith_short_8: VOL655TD

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/VOL655TDV4EBNBKZD4JOB7URPT \
  | 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: ab97eef663af081685591f12e0fe917cec4648c0237f3d6042478cb080b138af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdfa220f9ab548c737bf9c0cec22f7d01189c71f659c293a1414b7256c6cfa49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-06T20:29:56Z",
    "title_canon_sha256": "c171f85b55565ddd59d4c8e3947425fc151defef7a4bb41179398165d857704b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1304",
    "kind": "arxiv",
    "version": 1
  }
}