Pith Number

pith:PBD5O3DJ

pith:2024:PBD5O3DJNKM7HIQYCL4EK5RDF6

not attested not anchored not stored refs pending

Clustering Theorem for Bose-Hubbard class Gibbs states

Tomotaka Kuwahara, Xin-Hai Tong, Zongping Gong

arxiv:2411.10759 v4 · 2024-11-16 · 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{PBD5O3DJNKM7HIQYCL4EK5RDF6}

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	2026-06-23T01:12:44.690385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7847d76c696a99f3a21812f84576232fbc0f09cd8c86769f529f2884f37f8d30

Aliases

arxiv: 2411.10759 · arxiv_version: 2411.10759v4 · doi: 10.48550/arxiv.2411.10759 · pith_short_12: PBD5O3DJNKM7 · pith_short_16: PBD5O3DJNKM7HIQY · pith_short_8: PBD5O3DJ

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/PBD5O3DJNKM7HIQYCL4EK5RDF6 \
  | 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: 7847d76c696a99f3a21812f84576232fbc0f09cd8c86769f529f2884f37f8d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3414dfe6f7747cbb690b420652fb20e900e77b0054f674aff78eab7ba62e359b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2024-11-16T09:30:43Z",
    "title_canon_sha256": "636021bd30567d9766f0501b8a321cb98da2213455b49c26cb55dd49cb4237c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10759",
    "kind": "arxiv",
    "version": 4
  }
}