Pith Number

pith:PP3XWV4U

pith:2013:PP3XWV4UPJ4Q2PWYSYCKMZUCVK

not attested not anchored not stored refs pending

The fermionic observable in the Ising model and the inverse Kac-Ward operator

Marcin Lis

arxiv:1303.3017 v3 · 2013-03-12 · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PP3XWV4UPJ4Q2PWYSYCKMZUCVK}

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	2026-05-18T02:17:22.107058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf77b57947a790d3ed89604a66682aa9dc57eb64e7bdec881075a267b8ac21f

Aliases

arxiv: 1303.3017 · arxiv_version: 1303.3017v3 · doi: 10.48550/arxiv.1303.3017 · pith_short_12: PP3XWV4UPJ4Q · pith_short_16: PP3XWV4UPJ4Q2PWY · pith_short_8: PP3XWV4U

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/PP3XWV4UPJ4Q2PWYSYCKMZUCVK \
  | 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: 7bf77b57947a790d3ed89604a66682aa9dc57eb64e7bdec881075a267b8ac21f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6b5d7ae1f5aaed3d5ee97c38662a4cc4f1a92ff2dbb71f1cf567d16a887e4a3",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-03-12T20:28:16Z",
    "title_canon_sha256": "4f312d60721b646c60ec146b239876700991b893f1068ca9c1b54f2a2a182c78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3017",
    "kind": "arxiv",
    "version": 3
  }
}