Pith Number

pith:EU5EJNPQ

pith:2010:EU5EJNPQVLZBCRFEKQEONLYBKR

not attested not anchored not stored refs pending

Dimension dependent hypercontractivity for Gaussian kernels

Dominique Bakry (IUF, Fran\c{c}ois Bolley (CEREMADE), IMT), Ivan Gentil (CEREMADE)

arxiv:1003.5072 v1 · 2010-03-26 · 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{EU5EJNPQVLZBCRFEKQEONLYBKR}

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	2026-05-18T03:13:00.717480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

253a44b5f0aaf21144a45408e6af015472f056729829071dfd6a4af9a70cd2fd

Aliases

arxiv: 1003.5072 · arxiv_version: 1003.5072v1 · doi: 10.48550/arxiv.1003.5072 · pith_short_12: EU5EJNPQVLZB · pith_short_16: EU5EJNPQVLZBCRFE · pith_short_8: EU5EJNPQ

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/EU5EJNPQVLZBCRFEKQEONLYBKR \
  | 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: 253a44b5f0aaf21144a45408e6af015472f056729829071dfd6a4af9a70cd2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "204bd019b26ab2718ac206d298ac54e51673ee1f81c0408bb6ac0aac7d9b063c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-26T08:09:40Z",
    "title_canon_sha256": "7939fafb7b997e17b8b5ca5c2a647d799db32969a3ac19fcfba4c4706aea9267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5072",
    "kind": "arxiv",
    "version": 1
  }
}