Pith Number

pith:OZ7CZFE7

pith:2013:OZ7CZFE7NLE7LGCALPTDOG52JB

not attested not anchored not stored refs pending

Log concavity for matrix-valued functions and a matrix-valued Pr\'ekopa theorem

Hossein Raufi

arxiv:1311.7343 v1 · 2013-11-28 · math.CV · 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{OZ7CZFE7NLE7LGCALPTDOG52JB}

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	2026-05-18T03:05:56.557004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767e2c949f6ac9f598405be6371bba484b4146f12bd94fbec21a2ea0991e37c8

Aliases

arxiv: 1311.7343 · arxiv_version: 1311.7343v1 · doi: 10.48550/arxiv.1311.7343 · pith_short_12: OZ7CZFE7NLE7 · pith_short_16: OZ7CZFE7NLE7LGCA · pith_short_8: OZ7CZFE7

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/OZ7CZFE7NLE7LGCALPTDOG52JB \
  | 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: 767e2c949f6ac9f598405be6371bba484b4146f12bd94fbec21a2ea0991e37c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba3cafefa47ca61472ac112e94c1034a35aba9457342edf3aeca3be02e14467e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-11-28T15:50:36Z",
    "title_canon_sha256": "9f4866f3e90998dc51cc1a76ced0272a5a87a516b58ba1e9d21f967703be9815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7343",
    "kind": "arxiv",
    "version": 1
  }
}