Pith Number

pith:YE7B5QWX

pith:2006:YE7B5QWXEEUHOJMJJLOPCW6SPK

not attested not anchored not stored refs pending

An explicit bound on the Logarithmic Sobolev constant of weakly dependent random variables

Katalin Marton

arxiv:math/0605397 v2 · 2006-05-15 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YE7B5QWXEEUHOJMJJLOPCW6SPK}

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	2026-05-18T01:41:44.421011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c13e1ec2d721287725894adcf15bd27a9042f73501f08c05289f2e5512449d4d

Aliases

arxiv: math/0605397 · arxiv_version: math/0605397v2 · doi: 10.48550/arxiv.math/0605397 · pith_short_12: YE7B5QWXEEUH · pith_short_16: YE7B5QWXEEUHOJMJ · pith_short_8: YE7B5QWX

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/YE7B5QWXEEUHOJMJJLOPCW6SPK \
  | 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: c13e1ec2d721287725894adcf15bd27a9042f73501f08c05289f2e5512449d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe253da1487c785dc528a40ce176a579de31bab629bd6af6b46e28944932a97",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-05-15T15:40:50Z",
    "title_canon_sha256": "bc1212bb841e8062a51a7921f904fbe2348cff09b6074a46a77f47b5fc7035dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605397",
    "kind": "arxiv",
    "version": 2
  }
}