Pith Number

pith:MDRDRV5I

pith:2015:MDRDRV5IULULB6SQGESON2IPNS

not attested not anchored not stored refs pending

Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities

Arnaud Guillin (LMBP), Fran\c{c}ois Bolley (LPMA), Ivan Gentil (ICJ)

arxiv:1507.01086 v4 · 2015-07-04 · math.PR · 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{MDRDRV5IULULB6SQGESON2IPNS}

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	2026-05-18T00:48:43.232169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e238d7a8a2e8b0fa503124e6e90f6c8f8049ea74be8f887798ea5465af102c

Aliases

arxiv: 1507.01086 · arxiv_version: 1507.01086v4 · doi: 10.48550/arxiv.1507.01086 · pith_short_12: MDRDRV5IULUL · pith_short_16: MDRDRV5IULULB6SQ · pith_short_8: MDRDRV5I

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/MDRDRV5IULULB6SQGESON2IPNS \
  | 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: 60e238d7a8a2e8b0fa503124e6e90f6c8f8049ea74be8f887798ea5465af102c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5574ba00221b22778441fcd36c18e48996427b96626ef684c4afb1d62fb3054c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-04T09:10:15Z",
    "title_canon_sha256": "e4973d6ae55edfcbfcea73bacbc40fe12e736f57d37b46ca6590fa8233d35f0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01086",
    "kind": "arxiv",
    "version": 4
  }
}