Pith Number

pith:5BTKRSB2

pith:2012:5BTKRSB27TF24UBPRSEMQTS44E

not attested not anchored not stored refs pending

GL(n) contravariant Minkowski valuations

Franz E. Schuster, Thomas Wannerer

arxiv:1207.7256 v1 · 2012-07-31 · math.MG · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BTKRSB27TF24UBPRSEMQTS44E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:49:46.385719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e866a8c83afccbae502f8c88c84e5ce11075cc7ed308427c0a85ee5848255944

Aliases

arxiv: 1207.7256 · arxiv_version: 1207.7256v1 · doi: 10.48550/arxiv.1207.7256 · pith_short_12: 5BTKRSB27TF2 · pith_short_16: 5BTKRSB27TF24UBP · pith_short_8: 5BTKRSB2

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/5BTKRSB27TF24UBPRSEMQTS44E \
  | 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: e866a8c83afccbae502f8c88c84e5ce11075cc7ed308427c0a85ee5848255944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1890438a1510938919ffa00273cc2ff0e5a997e2830b6b97ffe5445f0ef66574",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-31T14:23:07Z",
    "title_canon_sha256": "a33dda8c44d40127fd15a15e7e77a2b808503a946b70a08388623281357a4c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7256",
    "kind": "arxiv",
    "version": 1
  }
}