Pith Number

pith:QPBOADZI

pith:2007:QPBOADZIM5IQWYT23WB7CPMAEZ

not attested not anchored not stored refs pending

The Weitzenb\"ock Machine

Gregor Weingart, Uwe Semmelmann

arxiv:math/0702031 v1 · 2007-02-01 · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPBOADZIM5IQWYT23WB7CPMAEZ}

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	2026-05-17T23:53:12.277243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c2e00f2867510b627add83f13d802654a76ba813cd0d2aaac0d9ab1a7b2b49

Aliases

arxiv: math/0702031 · arxiv_version: math/0702031v1 · doi: 10.48550/arxiv.math/0702031 · pith_short_12: QPBOADZIM5IQ · pith_short_16: QPBOADZIM5IQWYT2 · pith_short_8: QPBOADZI

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/QPBOADZIM5IQWYT23WB7CPMAEZ \
  | 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: 83c2e00f2867510b627add83f13d802654a76ba813cd0d2aaac0d9ab1a7b2b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17fd7f627dfb70e9d21e0efd42de398b003524b7feae64f57e8d0a1e8eff63c0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-02-01T20:18:04Z",
    "title_canon_sha256": "a9bc2c960c03c3473e87a47407b0cded2a0ce990c35fedd269fc44da8ccd66f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702031",
    "kind": "arxiv",
    "version": 1
  }
}