Pith Number

pith:XNKK7DFQ

pith:2012:XNKK7DFQSXJ45JPZQJ52H3SOBA

not attested not anchored not stored refs pending

Rotation invariant Minkowski classes of convex bodies

Franz E. Schuster, Rolf Schneider

arxiv:1207.7286 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{XNKK7DFQSXJ45JPZQJ52H3SOBA}

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	2026-05-18T03:49:46.279014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb54af8cb095d3cea5f9827ba3ee4e0813d157d88760895318669be56665df5a

Aliases

arxiv: 1207.7286 · arxiv_version: 1207.7286v1 · doi: 10.48550/arxiv.1207.7286 · pith_short_12: XNKK7DFQSXJ4 · pith_short_16: XNKK7DFQSXJ45JPZ · pith_short_8: XNKK7DFQ

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/XNKK7DFQSXJ45JPZQJ52H3SOBA \
  | 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: bb54af8cb095d3cea5f9827ba3ee4e0813d157d88760895318669be56665df5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b01676eb1b27b7c0203d913c998e4502213342b3cbf0f3da81faa38820ab76e4",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-31T15:21:33Z",
    "title_canon_sha256": "9753016a34cac9974b8e07dcd7b58ae83d6e5cd4c89af14d7956a5839c01df2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7286",
    "kind": "arxiv",
    "version": 1
  }
}