Pith Number

pith:OBMUJH27

pith:2011:OBMUJH2727UDWR3FPE5YP27BVT

not attested not anchored not stored refs pending

The critical Ising model via Kac-Ward matrices

David Cimasoni

arxiv:1101.5559 v3 · 2011-01-28 · math-ph · math.GT · 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{OBMUJH2727UDWR3FPE5YP27BVT}

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	2026-05-18T02:03:20.788206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7059449f5fd7e83b4765793b87ebe1ace5d8fb86fb4737744835c9288310ee57

Aliases

arxiv: 1101.5559 · arxiv_version: 1101.5559v3 · doi: 10.48550/arxiv.1101.5559 · pith_short_12: OBMUJH2727UD · pith_short_16: OBMUJH2727UDWR3F · pith_short_8: OBMUJH27

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/OBMUJH2727UDWR3FPE5YP27BVT \
  | 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: 7059449f5fd7e83b4765793b87ebe1ace5d8fb86fb4737744835c9288310ee57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883c97a95f1354f903b6802ef58090c51361e69a9714a825a1cac0a65909ab21",
    "cross_cats_sorted": [
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-28T15:58:46Z",
    "title_canon_sha256": "d8929ecd720d64ca401221147a791baf5821244c314db0a7d3ad0987b63bbe9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5559",
    "kind": "arxiv",
    "version": 3
  }
}