Pith Number

pith:ZLXOABEM

pith:2011:ZLXOABEMBY4TX6KC4HKMEDFLCZ

not attested not anchored not stored refs pending

Gibbs/Metropolis algorithms on a convex polytope

Gilles Lebeau, Laurent Michel, Persi Diaconis

arxiv:1104.0749 v1 · 2011-04-05 · math.SP · 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{ZLXOABEMBY4TX6KC4HKMEDFLCZ}

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	2026-05-18T04:25:02.627901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caeee0048c0e393bf942e1d4c20cab1657340951cd96ddfe9d594877c5c0564d

Aliases

arxiv: 1104.0749 · arxiv_version: 1104.0749v1 · doi: 10.48550/arxiv.1104.0749 · pith_short_12: ZLXOABEMBY4T · pith_short_16: ZLXOABEMBY4TX6KC · pith_short_8: ZLXOABEM

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/ZLXOABEMBY4TX6KC4HKMEDFLCZ \
  | 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: caeee0048c0e393bf942e1d4c20cab1657340951cd96ddfe9d594877c5c0564d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bed9ec2939b672b491f046aaf4cef5d269c9febc0f7eaee0bddb3e64d7b8824",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-04-05T07:26:00Z",
    "title_canon_sha256": "01900c975f8f583539f78d10eeb2aaf3010b3121dbf62c6b86dbd38e49255155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0749",
    "kind": "arxiv",
    "version": 1
  }
}