Pith Number

pith:4J3U3MYI

pith:2002:4J3U3MYI5GABNK752EKC567SHZ

not attested not anchored not stored refs pending

Mathematics of CLIFFORD - A Maple package for Clifford and Grassmann algebras

Bertfried Fauser, Rafal Ablamowicz

arxiv:math-ph/0212031 v2 · 2002-12-10 · 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{4J3U3MYI5GABNK752EKC567SHZ}

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	2026-05-18T03:36:37.501635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2774db308e98016abfdd1142efbf23e4a2dc7734cdb8639dc5ed39c3083b865

Aliases

arxiv: math-ph/0212031 · arxiv_version: math-ph/0212031v2 · doi: 10.48550/arxiv.math-ph/0212031 · pith_short_12: 4J3U3MYI5GAB · pith_short_16: 4J3U3MYI5GABNK75 · pith_short_8: 4J3U3MYI

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/4J3U3MYI5GABNK752EKC567SHZ \
  | 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: e2774db308e98016abfdd1142efbf23e4a2dc7734cdb8639dc5ed39c3083b865

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae1e884e51e5e7f721012b370562c4a64f08b78c8aa1e85c58b03c3515130bc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2002-12-10T13:08:30Z",
    "title_canon_sha256": "f9ab7f4f8cd501aa771a7d9890fb9c0b772d0a3e97cc0be19ee8a17f8749d8da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0212031",
    "kind": "arxiv",
    "version": 2
  }
}