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Pith Number

pith:5GQFHLZN

pith:2014:5GQFHLZNCKWUZRHEE7TNVHPGE6
not attested not anchored not stored refs pending

Ground state energy of $q$-state Potts model: the minimum modularity

ByungNam Kahng, Doochul Kim, Jae Sung Lee, Joonhyun Yeo, Sungmin Hwang

arxiv:1403.5847 v1 · 2014-03-24 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5GQFHLZNCKWUZRHEE7TNVHPGE6}

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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 2026-05-18T01:43:52.044033Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e9a053af2d12ad4cc4e427e6da9de627b3cc43edc6b2d7996e377644a6adcc8f

Aliases

arxiv: 1403.5847 · arxiv_version: 1403.5847v1 · doi: 10.48550/arxiv.1403.5847 · pith_short_12: 5GQFHLZNCKWU · pith_short_16: 5GQFHLZNCKWUZRHE · pith_short_8: 5GQFHLZN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5GQFHLZNCKWUZRHEE7TNVHPGE6 \
  | 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: e9a053af2d12ad4cc4e427e6da9de627b3cc43edc6b2d7996e377644a6adcc8f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7e77ac2401e4b8df1cfa89c98d0d8c3523881afb97e47c26bd090df1fca6c303",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-03-24T04:19:23Z",
    "title_canon_sha256": "ea01902e1748bae27f2d88ed2276c56c2f0112d7ad3fdcc95cf550ca7e0389f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5847",
    "kind": "arxiv",
    "version": 1
  }
}