Pith Number

pith:YOMYZA2O

pith:2011:YOMYZA2OSWCD33K4MR7GNEQYS6

not attested not anchored not stored refs pending

Exact bosonization of the Ising model

Julien Dub\'edat

arxiv:1112.4399 v1 · 2011-12-19 · math.PR · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOMYZA2OSWCD33K4MR7GNEQYS6}

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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.

Cited by

1 paper in Pith

Bosonization of primary fields for the critical Ising model on multiply connected planar domains

Receipt and verification

First computed	2026-05-18T03:59:01.890246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3998c834e95843ded5c647e6692189784c9316adebf57861105d37dd27ec07b

Aliases

arxiv: 1112.4399 · arxiv_version: 1112.4399v1 · doi: 10.48550/arxiv.1112.4399 · pith_short_12: YOMYZA2OSWCD · pith_short_16: YOMYZA2OSWCD33K4 · pith_short_8: YOMYZA2O

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/YOMYZA2OSWCD33K4MR7GNEQYS6 \
  | 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: c3998c834e95843ded5c647e6692189784c9316adebf57861105d37dd27ec07b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "000897ab82eeb3326165cbc13a18c7973add69ece920dc09afc97abbaa638507",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-19T16:48:04Z",
    "title_canon_sha256": "de4d6c1b8b733dfee24ed6d7a219c9b9d3e12e55aac0fc536648e96f08448fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4399",
    "kind": "arxiv",
    "version": 1
  }
}