Pith Number

pith:KYVNOVXZ

pith:2010:KYVNOVXZL5KRNA2OP76PMFBDK6

not attested not anchored not stored refs pending

The Logarithmic Sobolev Constant of The Lamplighter

Abdellah Youssfi (LAMA), Anne Beaulieu (LAMA), Bernard Host (LAMA), Cyril Roberto (LAMA), Evgeny Abakumov (LAMA), Fran\c{c}ois Blanchard (LAMA), Francis Ribaud (LAMA), Fr\'ed\'eric Portal (LAMA), Guillaume Lecu\'e (LAMA), Julien Roth (LAMA), Magdalena Kobylanski (LAMA), Marie-H\'el\`ene Mourgues (LAMA), Mathieu Meyer (LAMA), Matthieu Fradelizi (LAMA), Miguel Martinez (LAMA), Natha\"el Gozlan (LAMA), Pascal Romon (LAMA), Paul-Marie Samson (LAMA), Pierre Vandekerkhove (LAMA), Thiery Jeantheau (LAMA)

arxiv:1011.1764 v1 · 2010-11-08 · 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{KYVNOVXZL5KRNA2OP76PMFBDK6}

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	2026-05-18T03:32:17.941717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

562ad756f95f5516834e7ffcf6142357bd6248c6c60b5321d71448fd4511e088

Aliases

arxiv: 1011.1764 · arxiv_version: 1011.1764v1 · doi: 10.48550/arxiv.1011.1764 · pith_short_12: KYVNOVXZL5KR · pith_short_16: KYVNOVXZL5KRNA2O · pith_short_8: KYVNOVXZ

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/KYVNOVXZL5KRNA2OP76PMFBDK6 \
  | 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: 562ad756f95f5516834e7ffcf6142357bd6248c6c60b5321d71448fd4511e088

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b181919355b59a3c7da1baed953f8c45d78ad124f9b3299aa824811feb12bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-08T10:43:20Z",
    "title_canon_sha256": "83fbcea2a34546ac676d888b4e33380617e34568c106a44d09045e083231a5ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1764",
    "kind": "arxiv",
    "version": 1
  }
}