Pith Number

pith:UMXXZZU3

pith:2014:UMXXZZU3QK7WQMCQ4MOYCWS33Z

not attested not anchored not stored refs pending

A simplicial polytope that maximizes the isotropic constant must be a simplex

Luis Rademacher

arxiv:1404.5662 v2 · 2014-04-22 · math.FA · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMXXZZU3QK7WQMCQ4MOYCWS33Z}

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	2026-05-18T01:25:03.659979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32f7ce69b82bf683050e31d815a5bde68f8d40bdb3dc4287e2450a28563d26d

Aliases

arxiv: 1404.5662 · arxiv_version: 1404.5662v2 · doi: 10.48550/arxiv.1404.5662 · pith_short_12: UMXXZZU3QK7W · pith_short_16: UMXXZZU3QK7WQMCQ · pith_short_8: UMXXZZU3

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/UMXXZZU3QK7WQMCQ4MOYCWS33Z \
  | 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: a32f7ce69b82bf683050e31d815a5bde68f8d40bdb3dc4287e2450a28563d26d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5921d7bcbc1d24dbaf7cc4f4d35fd270d88a4ac4f4245fafdb8eb117fa74ba32",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-04-22T21:59:38Z",
    "title_canon_sha256": "dd96086d3e200820227416927b7f2eb892ff80586b7347dceb8f8c1ae3fc520d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5662",
    "kind": "arxiv",
    "version": 2
  }
}