Pith Number

pith:VQRJM2R7

pith:2004:VQRJM2R77VVDIEO2BRADQY4KTR

not attested not anchored not stored refs pending

Modified logarithmic Sobolev inequalities and transportation inequalities

Arnaud Guillin, Ivan Gentil, Laurent Miclo

arxiv:math/0405520 v1 · 2004-05-27 · 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{VQRJM2R77VVDIEO2BRADQY4KTR}

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	2026-05-18T01:05:26.335881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac22966a3ffd6a3411da0c4038638a9c57816758b7d32f1565c7552b522a35df

Aliases

arxiv: math/0405520 · arxiv_version: math/0405520v1 · doi: 10.48550/arxiv.math/0405520 · pith_short_12: VQRJM2R77VVD · pith_short_16: VQRJM2R77VVDIEO2 · pith_short_8: VQRJM2R7

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/VQRJM2R77VVDIEO2BRADQY4KTR \
  | 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: ac22966a3ffd6a3411da0c4038638a9c57816758b7d32f1565c7552b522a35df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d6c3fbae46e033efb064418b59c44a47e98d6d591b20b853175800adef8452",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-05-27T07:29:34Z",
    "title_canon_sha256": "779211590b51a7bd4c2afcaf7c6e41ccd27aefe6aed38871604333df8c97258e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405520",
    "kind": "arxiv",
    "version": 1
  }
}