Pith Number

pith:CACMTQWY

pith:1998:CACMTQWY6NZYM3LKFXXK4DQURB

not attested not anchored not stored refs pending

Matrix exponential via Clifford algebras

Rafal Ablamowicz

arxiv:math-ph/9807038 v1 · 1998-07-01 · 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{CACMTQWY6NZYM3LKFXXK4DQURB}

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	2026-05-18T01:38:30.738078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1004c9c2d8f373866d6a2deeae0e1488714580575d82b75c89fd5eaec7c9e8b8

Aliases

arxiv: math-ph/9807038 · arxiv_version: math-ph/9807038v1 · doi: 10.48550/arxiv.math-ph/9807038 · pith_short_12: CACMTQWY6NZY · pith_short_16: CACMTQWY6NZYM3LK · pith_short_8: CACMTQWY

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/CACMTQWY6NZYM3LKFXXK4DQURB \
  | 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: 1004c9c2d8f373866d6a2deeae0e1488714580575d82b75c89fd5eaec7c9e8b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f588f1edd2a664dc63347e4bd14de194606fd4ba0a4745c617c113b44c577fd5",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-07-01T00:00:00Z",
    "title_canon_sha256": "deacd7c929f7402ccb63084f8fe98741ead07fb5b3e38da6e0445c3eadae180b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9807038",
    "kind": "arxiv",
    "version": 1
  }
}