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Pith Number

pith:JISPEVM7

pith:2011:JISPEVM72K3RJO3IOKE32KCTX2
not attested not anchored not stored refs pending

A Method to Control Order of Phase Transition: Invisible States in Discrete Spin Models

Naoki Kawashima, Ryo Tamura, Shu Tanaka

arxiv:1111.6509 v2 · 2011-11-28 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JISPEVM72K3RJO3IOKE32KCTX2}

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 2026-05-18T04:01:25.775414Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4a24f2559fd2b714bb687289bd2853bea2c193cfbbcdd16d1d29e02354b5be74

Aliases

arxiv: 1111.6509 · arxiv_version: 1111.6509v2 · doi: 10.48550/arxiv.1111.6509 · pith_short_12: JISPEVM72K3R · pith_short_16: JISPEVM72K3RJO3I · pith_short_8: JISPEVM7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JISPEVM72K3RJO3IOKE32KCTX2 \
  | 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: 4a24f2559fd2b714bb687289bd2853bea2c193cfbbcdd16d1d29e02354b5be74
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "28e0773ccd92e0a266c88fc2ec9c4e78b0ac1971e0a621895bb51cf9b3499e29",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-11-28T16:38:40Z",
    "title_canon_sha256": "945c00b7732391db2265dedb221a81769e9703d624088284b10bf2eca135f407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6509",
    "kind": "arxiv",
    "version": 2
  }
}