pith. sign in
Pith Number

pith:7GRA2PKM

pith:2009:7GRA2PKM7DYJE5VB6UBEUM2T3Y
not attested not anchored not stored refs pending

Off-critical lattice models and massive SLEs

Nikolai Makarov, Stanislav Smirnov

arxiv:0909.5377 v1 · 2009-09-29 · math-ph · math.CV · math.MP · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7GRA2PKM7DYJE5VB6UBEUM2T3Y}

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 2026-05-18T00:37:38.668006Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f9a20d3d4cf8f09276a1f5024a3353de1a2be02c2105d1f5c77ec66b725e88f0

Aliases

arxiv: 0909.5377 · arxiv_version: 0909.5377v1 · doi: 10.48550/arxiv.0909.5377 · pith_short_12: 7GRA2PKM7DYJ · pith_short_16: 7GRA2PKM7DYJE5VB · pith_short_8: 7GRA2PKM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7GRA2PKM7DYJE5VB6UBEUM2T3Y \
  | 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: f9a20d3d4cf8f09276a1f5024a3353de1a2be02c2105d1f5c77ec66b725e88f0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6071185db00135a868add02f2e57789f8287bba75c9b6fb55609c2219a6e24b9",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-29T16:22:43Z",
    "title_canon_sha256": "3d743f096f5485c2a5dbc93d6a22c1144653bfe27f4ad26f4630cb76daaa8c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5377",
    "kind": "arxiv",
    "version": 1
  }
}