Pith Number

pith:NMPRFZ66

pith:2010:NMPRFZ66WLO3UL325HOEPJ5DDW

not attested not anchored not stored refs pending

Quasi-polynomial mixing of the 2D stochastic Ising model with "plus" boundary up to criticality

Allan Sly, Eyal Lubetzky, Fabio Lucio Toninelli, Fabio Martinelli

arxiv:1012.1271 v1 · 2010-12-06 · 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{NMPRFZ66WLO3UL325HOEPJ5DDW}

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	2026-05-18T02:23:15.144829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b1f12e7deb2ddba2f7ae9dc47a7a31d96d95c1cb14f534f1ed4e802218a8db5

Aliases

arxiv: 1012.1271 · arxiv_version: 1012.1271v1 · doi: 10.48550/arxiv.1012.1271 · pith_short_12: NMPRFZ66WLO3 · pith_short_16: NMPRFZ66WLO3UL32 · pith_short_8: NMPRFZ66

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/NMPRFZ66WLO3UL325HOEPJ5DDW \
  | 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: 6b1f12e7deb2ddba2f7ae9dc47a7a31d96d95c1cb14f534f1ed4e802218a8db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a968fcd30dea93872c7169bed0175491aee48112a8f53bf8fd44e4b2355ca32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-06T18:20:10Z",
    "title_canon_sha256": "139c5802edcb9097bd2356b2befb03fd0dd7f5bb8ff34ea374a0f8be0d9cd897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1271",
    "kind": "arxiv",
    "version": 1
  }
}