Pith Number

pith:Z2YY57GC

pith:2012:Z2YY57GCIMKOLPYD4UBYRXVWPZ

not attested not anchored not stored refs pending

Integrability as a consequence of discrete holomorphicity: the Z_N model

I. T. Alam, M. T. Batchelor

arxiv:1207.3883 v2 · 2012-07-17 · cond-mat.stat-mech · 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{Z2YY57GCIMKOLPYD4UBYRXVWPZ}

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	2026-05-18T03:19:46.063856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb18efcc24314e5bf03e50388deb67e4e9009018bf4a7ab6dd713212f6c239c

Aliases

arxiv: 1207.3883 · arxiv_version: 1207.3883v2 · doi: 10.48550/arxiv.1207.3883 · pith_short_12: Z2YY57GCIMKO · pith_short_16: Z2YY57GCIMKOLPYD · pith_short_8: Z2YY57GC

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/Z2YY57GCIMKOLPYD4UBYRXVWPZ \
  | 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: ceb18efcc24314e5bf03e50388deb67e4e9009018bf4a7ab6dd713212f6c239c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4a8bffc772eb50c68b4522b15a2e61a180ff6b28502b2696de5e4b8550987f9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-07-17T05:34:07Z",
    "title_canon_sha256": "06e10608d5964cfcf62472c5516879d096b75d8b9ca6c99d486ccfcc61d3e2e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3883",
    "kind": "arxiv",
    "version": 2
  }
}