Pith Number

pith:TIXFBZ74

pith:2009:TIXFBZ74HPKC3UYV5UXD6NLLBO

not attested not anchored not stored refs pending

Potts model on recursive lattices: some new exact results

Fabrizio Canfora, Pedro D. Alvarez, Sebastian A. Reyes, Simon Riquelme

arxiv:0912.4705 v4 · 2009-12-23 · cond-mat.stat-mech · hep-ph · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIXFBZ74HPKC3UYV5UXD6NLLBO}

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	2026-05-18T02:24:45.391470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a2e50e7fc3bd42dd315ed2e3f356b0bbe18fa73aabe7a8cdef38a3b282d08d0

Aliases

arxiv: 0912.4705 · arxiv_version: 0912.4705v4 · doi: 10.48550/arxiv.0912.4705 · pith_short_12: TIXFBZ74HPKC · pith_short_16: TIXFBZ74HPKC3UYV · pith_short_8: TIXFBZ74

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO \
  | 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: 9a2e50e7fc3bd42dd315ed2e3f356b0bbe18fa73aabe7a8cdef38a3b282d08d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126df32f2421f78ee6dbba327598f8a4ccf171caf4dc0f9ded3ccca3fd661d7f",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-12-23T19:55:36Z",
    "title_canon_sha256": "59d0870808230f0a11bffae825b47aacd9c01119cef8636831d6fe813d8ea3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4705",
    "kind": "arxiv",
    "version": 4
  }
}