Pith Number

pith:R54JC2IJ

pith:2012:R54JC2IJRGEDIXQQWQN4EKAEWC

not attested not anchored not stored refs pending

Rotation equivariant Minkowski valuations

Franz E. Schuster, Rolf Schneider

arxiv:1207.7279 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{R54JC2IJRGEDIXQQWQN4EKAEWC}

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	2026-05-18T03:49:46.297442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f789169098988345e10b41bc22804b08d93a2bfeb273c4c78324947df6cf0e4

Aliases

arxiv: 1207.7279 · arxiv_version: 1207.7279v1 · doi: 10.48550/arxiv.1207.7279 · pith_short_12: R54JC2IJRGED · pith_short_16: R54JC2IJRGEDIXQQ · pith_short_8: R54JC2IJ

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/R54JC2IJRGEDIXQQWQN4EKAEWC \
  | 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: 8f789169098988345e10b41bc22804b08d93a2bfeb273c4c78324947df6cf0e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3801dca3e1be132bb5d8470d375007251188eb7c3a15dc063ee8e0a8390d43",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-31T15:09:09Z",
    "title_canon_sha256": "489a12d5b5aa1e82f7a9cf56b17a6f8a3e8a89a7f1eb24187e5062d523ec5532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7279",
    "kind": "arxiv",
    "version": 1
  }
}