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Pith Number

pith:4ENITN5M

pith:2012:4ENITN5M7W5WFLAAV6ZMUE5PR6
not attested not anchored not stored refs pending

Thermodynamics of Two-Dimensional Ideal Ferromagnets - Three-Loop Analysis

Christoph P. Hofmann

arxiv:1207.5937 v1 · 2012-07-25 · cond-mat.str-el · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4ENITN5M7W5WFLAAV6ZMUE5PR6}

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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 2026-05-18T03:23:03.795215Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e11a89b7acfdbb62ac00afb2ca13af8faabad9a6c00da02e6e7a4ef9067c56f2

Aliases

arxiv: 1207.5937 · arxiv_version: 1207.5937v1 · doi: 10.48550/arxiv.1207.5937 · pith_short_12: 4ENITN5M7W5W · pith_short_16: 4ENITN5M7W5WFLAA · pith_short_8: 4ENITN5M
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ENITN5M7W5WFLAAV6ZMUE5PR6 \
  | 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: e11a89b7acfdbb62ac00afb2ca13af8faabad9a6c00da02e6e7a4ef9067c56f2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "16ad1128201b8785d7c002b2fb4a1ac6f19867aa38e6b82ae7a1c51d661dbd4f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2012-07-25T09:44:03Z",
    "title_canon_sha256": "37d9a19a45f231be617dddd1c4eb34170f3268f31f481e3f4ae87c02d300f6f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5937",
    "kind": "arxiv",
    "version": 1
  }
}