Pith Number

pith:5ZYAHCLU

pith:2009:5ZYAHCLUGE34AOWNFTJEUU5NW6

not attested not anchored not stored refs pending

Exact thresholds for Ising-Gibbs samplers on general graphs

Allan Sly, Elchanan Mossel

arxiv:0903.2906 v4 · 2009-03-17 · 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{5ZYAHCLUGE34AOWNFTJEUU5NW6}

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	2026-05-18T03:34:36.115935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee700389743137c03acd2cd24a53adb7afc6be03f4b1592898769bca6894c73d

Aliases

arxiv: 0903.2906 · arxiv_version: 0903.2906v4 · doi: 10.48550/arxiv.0903.2906 · pith_short_12: 5ZYAHCLUGE34 · pith_short_16: 5ZYAHCLUGE34AOWN · pith_short_8: 5ZYAHCLU

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/5ZYAHCLUGE34AOWNFTJEUU5NW6 \
  | 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: ee700389743137c03acd2cd24a53adb7afc6be03f4b1592898769bca6894c73d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c925c9f1fcbb2d03c2473cb82a7d538006a55bee9e5411159a8d6eacc85f10e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-03-17T06:19:58Z",
    "title_canon_sha256": "0f5756323c67d1d7e8b7e3f73548503f50b6510725bb931c2a565d914464e0c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2906",
    "kind": "arxiv",
    "version": 4
  }
}