Pith Number

pith:QE3UB2AN

pith:2013:QE3UB2ANMWPQQPDJZ754K3IEBM

not attested not anchored not stored refs pending

The Blaschke-Santalo Inequality

Gabriele Bianchi, Michael Kelly

arxiv:1312.0244 v3 · 2013-12-01 · math.MG · 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{QE3UB2ANMWPQQPDJZ754K3IEBM}

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	2026-05-18T00:00:45.570232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813740e80d659f083c69cffbc56d040b1bfb117465ad36f712f1e0215efc80db

Aliases

arxiv: 1312.0244 · arxiv_version: 1312.0244v3 · doi: 10.48550/arxiv.1312.0244 · pith_short_12: QE3UB2ANMWPQ · pith_short_16: QE3UB2ANMWPQQPDJ · pith_short_8: QE3UB2AN

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/QE3UB2ANMWPQQPDJZ754K3IEBM \
  | 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: 813740e80d659f083c69cffbc56d040b1bfb117465ad36f712f1e0215efc80db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a096a456700c1ed03f319cf25a43338392347fd03b55e391a98b7dc2635755bb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-01T16:17:44Z",
    "title_canon_sha256": "211cbbedd1283a728e175ece664cfe051285ed9453a62c60cfebdd4a578e7756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0244",
    "kind": "arxiv",
    "version": 3
  }
}