Pith Number

pith:Z27Q74S6

pith:2012:Z27Q74S6CLYMYI2NLLDHNE76TY

not attested not anchored not stored refs pending

Poincar\'{e} and logarithmic Sobolev inequalities by decomposition of the energy landscape

Andr\'e Schlichting, Georg Menz

arxiv:1202.1510 v4 · 2012-02-07 · math.PR · math-ph · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z27Q74S6CLYMYI2NLLDHNE76TY}

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	2026-05-18T01:09:25.090080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cebf0ff25e12f0cc234d5ac67693fe9e3a57be8294e26dd086d972987856355c

Aliases

arxiv: 1202.1510 · arxiv_version: 1202.1510v4 · doi: 10.48550/arxiv.1202.1510 · pith_short_12: Z27Q74S6CLYM · pith_short_16: Z27Q74S6CLYMYI2N · pith_short_8: Z27Q74S6

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/Z27Q74S6CLYMYI2NLLDHNE76TY \
  | 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: cebf0ff25e12f0cc234d5ac67693fe9e3a57be8294e26dd086d972987856355c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf6798e2cf3644e495aefce67d9888aa7f0e08ffd540265cd0a77d85dd223b2d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-07T19:50:03Z",
    "title_canon_sha256": "b467aeb0aab4bbe00029ca206540ad3c4bd968acd42bf1956fcc0b5305727389"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1510",
    "kind": "arxiv",
    "version": 4
  }
}