Pith Number

pith:N3TVABGR

pith:2013:N3TVABGR6PQNX627U72XKNLIMG

not attested not anchored not stored refs pending

Quantum Commuting Circuits and Complexity of Ising Partition Functions

Keisuke Fujii, Tomoyuki Morimae

arxiv:1311.2128 v2 · 2013-11-09 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3TVABGR6PQNX627U72XKNLIMG}

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	2026-05-18T00:49:40.449452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ee75004d1f3e0dbfb5fa7f575356861b8fe9ae5730e4a2eab411b480ee9d15a

Aliases

arxiv: 1311.2128 · arxiv_version: 1311.2128v2 · doi: 10.48550/arxiv.1311.2128 · pith_short_12: N3TVABGR6PQN · pith_short_16: N3TVABGR6PQNX627 · pith_short_8: N3TVABGR

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/N3TVABGR6PQNX627U72XKNLIMG \
  | 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: 6ee75004d1f3e0dbfb5fa7f575356861b8fe9ae5730e4a2eab411b480ee9d15a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00a3af0dc94457f909528013c5d53b0417e25d7eaa27c1cf6dd3ca13ecf6e041",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-09T02:30:29Z",
    "title_canon_sha256": "5c55e4e0efd8a22959d785d99c47b31f60b66cdce016545fc0fbd0ae705aedd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2128",
    "kind": "arxiv",
    "version": 2
  }
}