Pith Number

pith:MZRFINTH

pith:2002:MZRFINTHOJSIN77LUPINAEADCT

not attested not anchored not stored refs pending

Bounding spectral gaps of Markov chains: a novel exact multi-decomposition technique

N. Destainville

arxiv:cond-mat/0211166 v1 · 2002-11-08 · cond-mat.stat-mech · 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{MZRFINTHOJSIN77LUPINAEADCT}

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	2026-05-18T01:06:58.631025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6662543667726486ffeba3d0d0100314f3c5e421c4e732165df8667015f9faa4

Aliases

arxiv: cond-mat/0211166 · arxiv_version: cond-mat/0211166v1 · doi: 10.48550/arxiv.cond-mat/0211166 · pith_short_12: MZRFINTHOJSI · pith_short_16: MZRFINTHOJSIN77L · pith_short_8: MZRFINTH

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/MZRFINTHOJSIN77LUPINAEADCT \
  | 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: 6662543667726486ffeba3d0d0100314f3c5e421c4e732165df8667015f9faa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55d4eb28a97d1e61e3c5a24f677c298d0c304d8fce756f60729f6687c8e5d561",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-11-08T14:47:00Z",
    "title_canon_sha256": "39cf444796c3c99cfed6f3d61a07e319c5dd5a503638c5569ea2bd0823c6d21e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0211166",
    "kind": "arxiv",
    "version": 1
  }
}