Pith Number

pith:OYIZFL27

pith:2018:OYIZFL27GCL3AJX3PC6DM5QIGX

not attested not anchored not stored refs pending

Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature

Aran Raoufi, Hugo Duminil-Copin, Subhajit Goswami

arxiv:1808.00439 v2 · 2018-08-01 · math.PR · math-ph · math.MP

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\usepackage{pith}
\pithnumber{OYIZFL27GCL3AJX3PC6DM5QIGX}

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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.

Cited by

1 paper in Pith

Finitary codings for gradient models and a new graphical representation for the six-vertex model

Receipt and verification

First computed	2026-07-05T08:36:04.894401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

761192af5f3097b026fb78bc36760835d544b284ab67630160053f725bb06971

Aliases

arxiv: 1808.00439 · arxiv_version: 1808.00439v2 · doi: 10.48550/arxiv.1808.00439 · pith_short_12: OYIZFL27GCL3 · pith_short_16: OYIZFL27GCL3AJX3 · pith_short_8: OYIZFL27

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/OYIZFL27GCL3AJX3PC6DM5QIGX \
  | 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: 761192af5f3097b026fb78bc36760835d544b284ab67630160053f725bb06971

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444b948feacd6168486d577c97fcbb259c41f1ca497ad1e44000c6ab9a13dd04",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-01T17:40:40Z",
    "title_canon_sha256": "1e68d99564cec482d0d3e9f8244530c5c428f004efa6193cbfcfc17c77238db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00439",
    "kind": "arxiv",
    "version": 2
  }
}