Pith Number

pith:5CAU5QDB

pith:2012:5CAU5QDBLAKDEZE5AIQJ7DUIVG

not attested not anchored not stored refs pending

The Steiner Formula for Minkowski Valuations

Franz E. Schuster, Lukas Parapatits

arxiv:1207.7276 v1 · 2012-07-31 · math.MG · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5CAU5QDBLAKDEZE5AIQJ7DUIVG}

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	2026-05-18T03:49:46.307475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8814ec061581432649d02209f8e88a98ad65c513048abba28df06a9abbde6fd

Aliases

arxiv: 1207.7276 · arxiv_version: 1207.7276v1 · doi: 10.48550/arxiv.1207.7276 · pith_short_12: 5CAU5QDBLAKD · pith_short_16: 5CAU5QDBLAKDEZE5 · pith_short_8: 5CAU5QDB

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/5CAU5QDBLAKDEZE5AIQJ7DUIVG \
  | 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: e8814ec061581432649d02209f8e88a98ad65c513048abba28df06a9abbde6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185df64cb91bd51db9245601cf690cf61e680763369f288a537f6d12388dc9dd",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-31T15:01:07Z",
    "title_canon_sha256": "4547616f683f6618e38d7097a07c2b54a8099c07a2430f24230c2d4d326fa669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7276",
    "kind": "arxiv",
    "version": 1
  }
}