Pith Number

pith:KJCKJUS2

pith:2013:KJCKJUS24FQDGEJBDJWYKWU2N3

not attested not anchored not stored refs pending

Rigidity of equality cases in Steiner's perimeter inequality

Filippo Cagnetti, Francesco Maggi, Guido De Philippis, Maria Colombo

arxiv:1309.1639 v1 · 2013-09-06 · math.AP · math.MG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJCKJUS24FQDGEJBDJWYKWU2N3}

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	2026-05-18T01:22:24.978236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5244a4d25ae1603311211a6d855a9a6ecb7619463e793a3e5b351e9428d287d0

Aliases

arxiv: 1309.1639 · arxiv_version: 1309.1639v1 · doi: 10.48550/arxiv.1309.1639 · pith_short_12: KJCKJUS24FQD · pith_short_16: KJCKJUS24FQDGEJB · pith_short_8: KJCKJUS2

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/KJCKJUS24FQDGEJBDJWYKWU2N3 \
  | 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: 5244a4d25ae1603311211a6d855a9a6ecb7619463e793a3e5b351e9428d287d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73d338b89aa9a5c5888f4d6c13ca592e44636d4188b0d09576572fe96e57af3b",
    "cross_cats_sorted": [
      "math.MG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-06T13:47:33Z",
    "title_canon_sha256": "6682f88234603632ec9deb79b8622a2c0877071ac5b50ed65c5f1082e29ae7e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1639",
    "kind": "arxiv",
    "version": 1
  }
}