Pith Number

pith:3I24ZGFA

pith:2012:3I24ZGFAZJFQZI7G4Y5M7LMBKR

not attested not anchored not stored refs pending

A list of identities made with products between two different generators of the Clifford algebra

J. B. Formiga

arxiv:1209.5792 v1 · 2012-09-25 · math-ph · gr-qc · hep-th · 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{3I24ZGFAZJFQZI7G4Y5M7LMBKR}

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	2026-05-18T03:44:46.371506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da35cc98a0ca4b0ca3e6e63acfad81545d84f40ae788c63f8f773fcfe5fc6876

Aliases

arxiv: 1209.5792 · arxiv_version: 1209.5792v1 · doi: 10.48550/arxiv.1209.5792 · pith_short_12: 3I24ZGFAZJFQ · pith_short_16: 3I24ZGFAZJFQZI7G · pith_short_8: 3I24ZGFA

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/3I24ZGFAZJFQZI7G4Y5M7LMBKR \
  | 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: da35cc98a0ca4b0ca3e6e63acfad81545d84f40ae788c63f8f773fcfe5fc6876

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be52c58ccbcd41d9d3f723f46acc1c869d4b96b56af96f3de824a52a77bc3e97",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-25T23:34:58Z",
    "title_canon_sha256": "7e965de375abb29b9779aedcb06c00e308c7754d8c1d7d2d823f57cb69ca196b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5792",
    "kind": "arxiv",
    "version": 1
  }
}