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Pith Number

pith:K3FB2NY4

pith:2012:K3FB2NY4E6ZVFAJCEMXKZCFRPM
not attested not anchored not stored refs pending

Criticality governed by the stable renormalization fixed point of the Ising model in the hierarchical small-world network

Koji Nemoto, Takehisa Hasegawa, Tomoaki Nogawa

arxiv:1206.5064 v2 · 2012-06-22 · cond-mat.stat-mech · cond-mat.dis-nn

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{K3FB2NY4E6ZVFAJCEMXKZCFRPM}

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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.
Receipt and verification
First computed 2026-05-18T03:45:00.200462Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

56ca1d371c27b3528122232eac88b17b292595573ff985f4f17b2fe83d71f155

Aliases

arxiv: 1206.5064 · arxiv_version: 1206.5064v2 · doi: 10.48550/arxiv.1206.5064 · pith_short_12: K3FB2NY4E6ZV · pith_short_16: K3FB2NY4E6ZVFAJC · pith_short_8: K3FB2NY4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/K3FB2NY4E6ZVFAJCEMXKZCFRPM \
  | 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: 56ca1d371c27b3528122232eac88b17b292595573ff985f4f17b2fe83d71f155
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2d867b5207e57f11af7c170d4806238fbe8d610b1b3505355d70ae03a6619b27",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-06-22T06:21:45Z",
    "title_canon_sha256": "1460c1b48258f048e0b1a1e06eceb549700c0cf1aca81ed676f21927ec4da2a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5064",
    "kind": "arxiv",
    "version": 2
  }
}