Pith Number

pith:Y6TA2N23

pith:2015:Y6TA2N23BDBPXBPI5XGXREJ2ZI

not attested not anchored not stored refs pending

Some extensions of the Pr\'ekopa-Leindler inequality using Borell's stochastic approach

Bernard Maurey, Dario Cordero-Erausquin

arxiv:1512.05131 v3 · 2015-12-16 · math.FA · 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{Y6TA2N23BDBPXBPI5XGXREJ2ZI}

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	2026-05-18T01:01:28.871736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a60d375b08c2fb85e8edcd78913aca335e7a9e85c8e036c5d57746afca01fa

Aliases

arxiv: 1512.05131 · arxiv_version: 1512.05131v3 · doi: 10.48550/arxiv.1512.05131 · pith_short_12: Y6TA2N23BDBP · pith_short_16: Y6TA2N23BDBPXBPI · pith_short_8: Y6TA2N23

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/Y6TA2N23BDBPXBPI5XGXREJ2ZI \
  | 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: c7a60d375b08c2fb85e8edcd78913aca335e7a9e85c8e036c5d57746afca01fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0188bccdf87f0517ec49972f1b1f34a064172d7edb3f448ecb6c310af9cc30c3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-16T11:28:53Z",
    "title_canon_sha256": "d34b771afad1f460d267aa7a95d0483c82e1da31aee605aeee533c0488e365e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05131",
    "kind": "arxiv",
    "version": 3
  }
}