Pith Number

pith:GW3BU6CG

pith:2011:GW3BU6CG3GNFPVDE2Q3LC6N7ZV

not attested not anchored not stored refs pending

Criteria of off-diagonal long-range order in Bose and Fermi systems based on the Lee-Yang cluster expansion method

Masahito Ueda, Naoyuki Sakumichi, Norio Kawakami

arxiv:1112.5768 v2 · 2011-12-25 · cond-mat.quant-gas · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GW3BU6CG3GNFPVDE2Q3LC6N7ZV}

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	2026-05-18T03:58:38.074136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b61a7846d99a57d464d436b179bfcd779cce6e0bd674b3f8f81b8ff4bd8845

Aliases

arxiv: 1112.5768 · arxiv_version: 1112.5768v2 · doi: 10.48550/arxiv.1112.5768 · pith_short_12: GW3BU6CG3GNF · pith_short_16: GW3BU6CG3GNFPVDE · pith_short_8: GW3BU6CG

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/GW3BU6CG3GNFPVDE2Q3LC6N7ZV \
  | 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: 35b61a7846d99a57d464d436b179bfcd779cce6e0bd674b3f8f81b8ff4bd8845

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ee4f3bf14eaddb8f5b60a9a96b690852258ad2e143c268f40f29c9fe9f4f78",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2011-12-25T05:18:00Z",
    "title_canon_sha256": "5b061bf8ef1d49059a6988932be08fbc794dddd323a01030cd9a0db435789560"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5768",
    "kind": "arxiv",
    "version": 2
  }
}