pith. sign in
Pith Number

pith:FI3772PQ

pith:2006:FI3772PQQVXIOSSI7Q4QXDRWTW
not attested not anchored not stored refs pending

Two-Dimensional Critical Potts and its Tricritical Shadow

Adriaan M. J. Schakel, Wolfhard Janke

arxiv:cond-mat/0612650 v1 · 2006-12-27 · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FI3772PQQVXIOSSI7Q4QXDRWTW}

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 2026-05-18T01:39:38.420361Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2a37ffe9f0856e874a48fc390b8e369d97f5d5b08460525aa0b626d6e9004e09

Aliases

arxiv: cond-mat/0612650 · arxiv_version: cond-mat/0612650v1 · doi: 10.48550/arxiv.cond-mat/0612650 · pith_short_12: FI3772PQQVXI · pith_short_16: FI3772PQQVXIOSSI · pith_short_8: FI3772PQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FI3772PQQVXIOSSI7Q4QXDRWTW \
  | 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: 2a37ffe9f0856e874a48fc390b8e369d97f5d5b08460525aa0b626d6e9004e09
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "604c6ce87a3f1d180519f7ded2d24167e934766acef4b99cc9f8a5ae1f0196f1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2006-12-27T17:37:26Z",
    "title_canon_sha256": "3a1d7310d6f1905c2ea74fae1a1bb416fc7902b723135da90d48c69e97b0ff9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0612650",
    "kind": "arxiv",
    "version": 1
  }
}