Pith Number

pith:6BULRWXH

pith:2009:6BULRWXHIV2TRYNLYPPZHCPAND

not attested not anchored not stored refs pending

A cluster expansion approach to renormalization group transformations

Mei Yin

arxiv:0911.0117 v3 · 2009-11-01 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6BULRWXHIV2TRYNLYPPZHCPAND}

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	2026-05-18T02:11:00.995236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f068b8dae7457538e1abc3df9389e068f003747bcf4b9c309b58c2d904ef53fb

Aliases

arxiv: 0911.0117 · arxiv_version: 0911.0117v3 · doi: 10.48550/arxiv.0911.0117 · pith_short_12: 6BULRWXHIV2T · pith_short_16: 6BULRWXHIV2TRYNL · pith_short_8: 6BULRWXH

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/6BULRWXHIV2TRYNLYPPZHCPAND \
  | 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: f068b8dae7457538e1abc3df9389e068f003747bcf4b9c309b58c2d904ef53fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ada16e32d716b00f608eb991d629c3dfc5324ba140b11f7fd111c576fa25c4c1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-01T00:06:29Z",
    "title_canon_sha256": "7591f5b8c0e3c287f069c4da94b6e730c733c12c6e8191bd5fefe4cb7548a803"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0117",
    "kind": "arxiv",
    "version": 3
  }
}