Pith Number

pith:POUOWOCU

pith:2017:POUOWOCUAU6B5FPEWT55CX6DEX

not attested not anchored not stored refs pending

Planar Ising model at criticality: state-of-the-art and perspectives

Dmitry Chelkak

arxiv:1712.04192 v2 · 2017-12-12 · 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{POUOWOCUAU6B5FPEWT55CX6DEX}

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	2026-05-18T00:24:03.862265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba8eb3854053c1e95e4b4fbd15fc325f9057560530ff6c8893b2e5bf8850c86

Aliases

arxiv: 1712.04192 · arxiv_version: 1712.04192v2 · doi: 10.48550/arxiv.1712.04192 · pith_short_12: POUOWOCUAU6B · pith_short_16: POUOWOCUAU6B5FPE · pith_short_8: POUOWOCU

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/POUOWOCUAU6B5FPEWT55CX6DEX \
  | 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: 7ba8eb3854053c1e95e4b4fbd15fc325f9057560530ff6c8893b2e5bf8850c86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27e320a1dfb66b38c851ca7d1df69acdcde56b21306f307d3e0a2d4084a0d986",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-12-12T09:48:42Z",
    "title_canon_sha256": "2d4d180c52ad34aad9d9e5192859a7621b96e7450a018c71afb7eacf1670e0c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04192",
    "kind": "arxiv",
    "version": 2
  }
}