pith. sign in
Pith Number

pith:6UCALB7H

pith:2017:6UCALB7H6WSLX5M6JCKAYNC6JJ
not attested not anchored not stored refs pending

Cusp singularity in mean field Ising model

Erika Nozawa, Muneyuki Ishida, Ryoko Yahagi, Takayoshi Ootsuka, Yayoi Abe

arxiv:1702.02338 v1 · 2017-02-08 · math-ph · cond-mat.stat-mech · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6UCALB7H6WSLX5M6JCKAYNC6JJ}

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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 2026-05-18T00:32:13.836636Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f5040587e7f5a4bbf59e48940c345e4a52a1aea5db741e6f08f2ddc951509252

Aliases

arxiv: 1702.02338 · arxiv_version: 1702.02338v1 · doi: 10.48550/arxiv.1702.02338 · pith_short_12: 6UCALB7H6WSL · pith_short_16: 6UCALB7H6WSLX5M6 · pith_short_8: 6UCALB7H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6UCALB7H6WSLX5M6JCKAYNC6JJ \
  | 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: f5040587e7f5a4bbf59e48940c345e4a52a1aea5db741e6f08f2ddc951509252
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5e72baaac2ae4fe41b27d30f75b64370060a838419c3fd95e66b527b9e197613",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-08T09:35:40Z",
    "title_canon_sha256": "9ffd98334826f6e7b337b36621170cd8cbf8207e8a8334506f9df749a26646dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02338",
    "kind": "arxiv",
    "version": 1
  }
}