Pith Number

pith:VUE62ZDU

pith:2009:VUE62ZDUMZ3GFET3A7GHO2NKMS

not attested not anchored not stored refs pending

Exact solution of the Bose-Hubbard model on the Bethe lattice

Francesco Zamponi, Guilhem Semerjian, Marco Tarzia

arxiv:0904.3075 v2 · 2009-04-20 · cond-mat.quant-gas · cond-mat.other · 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{VUE62ZDUMZ3GFET3A7GHO2NKMS}

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	2026-05-18T02:13:58.796345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad09ed6474667662927b07cc7769aa64b463769dc5e29b03ff7af95a3b1e9a00

Aliases

arxiv: 0904.3075 · arxiv_version: 0904.3075v2 · doi: 10.48550/arxiv.0904.3075 · pith_short_12: VUE62ZDUMZ3G · pith_short_16: VUE62ZDUMZ3GFET3 · pith_short_8: VUE62ZDU

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/VUE62ZDUMZ3GFET3A7GHO2NKMS \
  | 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: ad09ed6474667662927b07cc7769aa64b463769dc5e29b03ff7af95a3b1e9a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b814370378b8c2b1575722fa63d8b692278d363f7bca17a942024552288ea8",
    "cross_cats_sorted": [
      "cond-mat.other",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2009-04-20T17:24:55Z",
    "title_canon_sha256": "78a2c551562dafc2b71dcb8c081b23c56a92a427fa49a21c21c1d9aec00e772a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3075",
    "kind": "arxiv",
    "version": 2
  }
}