pith. sign in
Pith Number

pith:WUVXNDPH

pith:2013:WUVXNDPHIFT74LKI3BV26CKICY
not attested not anchored not stored refs pending

Potts Models with (17) Invisible States on Thin Graphs

D. A. Johnston, R. P. K. C. M. Ranasinghe

arxiv:1303.0677 v2 · 2013-03-04 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WUVXNDPHIFT74LKI3BV26CKICY}

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 2026-05-18T03:18:18.354028Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b52b768de74167fe2d48d86baf0948160aa5c5262d116acbd4baa571caf2ad97

Aliases

arxiv: 1303.0677 · arxiv_version: 1303.0677v2 · doi: 10.48550/arxiv.1303.0677 · pith_short_12: WUVXNDPHIFT7 · pith_short_16: WUVXNDPHIFT74LKI · pith_short_8: WUVXNDPH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WUVXNDPHIFT74LKI3BV26CKICY \
  | 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: b52b768de74167fe2d48d86baf0948160aa5c5262d116acbd4baa571caf2ad97
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9ff54029babbcac10d04df944774e7e195afa96bcd425a83cbba7912f98083bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-03-04T11:34:18Z",
    "title_canon_sha256": "5ecf052b44bf1da915494a31aab3d6094203a000427c5470ace21a325bdf7b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0677",
    "kind": "arxiv",
    "version": 2
  }
}