Pith Number

pith:GJ3Z63MM

pith:2018:GJ3Z63MM4NST4IRQBHXASOK64I

not attested not anchored not stored refs pending

Ellipsoids are the only local maximizers of the volume product

Mathieu Meyer, Shlomo Reisner

arxiv:1812.11607 v1 · 2018-12-30 · 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{GJ3Z63MM4NST4IRQBHXASOK64I}

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	2026-05-17T23:52:03.458668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32779f6d8ce3653e223009ee09395ee20327741da386d25a6461fe6e8cae326f

Aliases

arxiv: 1812.11607 · arxiv_version: 1812.11607v1 · doi: 10.48550/arxiv.1812.11607 · pith_short_12: GJ3Z63MM4NST · pith_short_16: GJ3Z63MM4NST4IRQ · pith_short_8: GJ3Z63MM

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/GJ3Z63MM4NST4IRQBHXASOK64I \
  | 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: 32779f6d8ce3653e223009ee09395ee20327741da386d25a6461fe6e8cae326f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78ce1a8db336bace0f29935d8ae163eda557a851c5d76ecad31b28068e4fbf47",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-12-30T20:37:19Z",
    "title_canon_sha256": "c7fa0b344f760b0f09dba7abc1da2d179aa7222563c37e50e6ad1ba486d113d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11607",
    "kind": "arxiv",
    "version": 1
  }
}