Pith Number

pith:ZIH2NWAU

pith:2012:ZIH2NWAU6RPO4EOW3TGCUQKFCS

not attested not anchored not stored refs pending

Z(2) Gauge Neural Network and its Phase Structure

Tetsuo Matsui, Yuki Nakano, Yusuke Takafuji

arxiv:1206.1110 v1 · 2012-06-06 · cond-mat.dis-nn · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZIH2NWAU6RPO4EOW3TGCUQKFCS}

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	2026-05-18T03:50:48.148760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0fa6d814f45eee11d6dccc2a4145148e37723b5fe6e75aa1ecb7dced499898

Aliases

arxiv: 1206.1110 · arxiv_version: 1206.1110v1 · doi: 10.48550/arxiv.1206.1110 · pith_short_12: ZIH2NWAU6RPO · pith_short_16: ZIH2NWAU6RPO4EOW · pith_short_8: ZIH2NWAU

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/ZIH2NWAU6RPO4EOW3TGCUQKFCS \
  | 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: ca0fa6d814f45eee11d6dccc2a4145148e37723b5fe6e75aa1ecb7dced499898

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1ff25cffbb44493ef90a9d2363d5e9c0bb88cbb9772e4d09bc05e80ad665bb",
    "cross_cats_sorted": [
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-06-06T02:36:06Z",
    "title_canon_sha256": "fb7ff5bb7e7eae10cf036e069da595d807d6c76b066e2c1385a5bffbbb4d75e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1110",
    "kind": "arxiv",
    "version": 1
  }
}