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Pith Number

pith:KG7LANOF

pith:2013:KG7LANOFS4QZAL6H43DSRSN7IJ
not attested not anchored not stored refs pending

Potts Models with Invisible States on General Bethe Lattices

D.A. Johnston, N. Ananikian, N.Sh. Izmailyan, R. Kenna, R.P.K.C.M. Ranasinghe

arxiv:1307.2803 v1 · 2013-07-10 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KG7LANOFS4QZAL6H43DSRSN7IJ}

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 2026-05-18T03:13:45.388756Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

51beb035c59721902fc7e6c728c9bf4262f48d0f05904a3137dc93b016a84367

Aliases

arxiv: 1307.2803 · arxiv_version: 1307.2803v1 · doi: 10.48550/arxiv.1307.2803 · pith_short_12: KG7LANOFS4QZ · pith_short_16: KG7LANOFS4QZAL6H · pith_short_8: KG7LANOF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KG7LANOFS4QZAL6H43DSRSN7IJ \
  | 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: 51beb035c59721902fc7e6c728c9bf4262f48d0f05904a3137dc93b016a84367
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "60207d5732c04c7e2b7ee9425f13b820355d003221c18f58b0322c0fd79ef5b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-07-10T14:34:11Z",
    "title_canon_sha256": "aa797913a5b980680043717acf5a00bbf521575df7bf3683c9b89b5357e59f0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2803",
    "kind": "arxiv",
    "version": 1
  }
}