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Pith Number

pith:NWH4WRNT

pith:2012:NWH4WRNTMMENPNGWPZIOOJYBA2
not attested not anchored not stored refs pending

Planar Ising magnetization field I. Uniqueness of the critical scaling limit

Charles M. Newman, Christophe Garban, Federico Camia

arxiv:1205.6610 v5 · 2012-05-30 · math.PR · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NWH4WRNTMMENPNGWPZIOOJYBA2}

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 2026-05-18T02:25:32.913887Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6d8fcb45b36308d7b4d67e50e7270106809165da3085b36e04c090e1641722ca

Aliases

arxiv: 1205.6610 · arxiv_version: 1205.6610v5 · doi: 10.48550/arxiv.1205.6610 · pith_short_12: NWH4WRNTMMEN · pith_short_16: NWH4WRNTMMENPNGW · pith_short_8: NWH4WRNT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NWH4WRNTMMENPNGWPZIOOJYBA2 \
  | 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: 6d8fcb45b36308d7b4d67e50e7270106809165da3085b36e04c090e1641722ca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "091342d34eae2b828d75d2ed012b98ad7342b030aa0d4f806a33901a90bb9169",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-30T10:00:11Z",
    "title_canon_sha256": "5f70b1956ada2290e82d3e33dddf6fa6747219867f7495aa7df2586ca640da9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6610",
    "kind": "arxiv",
    "version": 5
  }
}