Pith Number

pith:XILJ5NIM

pith:1996:XILJ5NIMGEBFHEPFQFL7H3G4TZ

not attested not anchored not stored refs pending

Grand Canonical Partition Function for Unidimensional Systems: Application to Hubbard Model up to Order beta^3

E. V. Correa Silva (CBPF), I. C. Charret, M. T. Thomaz (UFF), S. M. de Souza

arxiv:cond-mat/9607171 v1 · 1996-07-24 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XILJ5NIMGEBFHEPFQFL7H3G4TZ}

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	2026-05-18T01:07:10.843101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba169eb50c31025391e58157f3ecdc9e76263e5c3a90240ad4d74076f4a2f5d6

Aliases

arxiv: cond-mat/9607171 · arxiv_version: cond-mat/9607171v1 · doi: 10.48550/arxiv.cond-mat/9607171 · pith_short_12: XILJ5NIMGEBF · pith_short_16: XILJ5NIMGEBFHEPF · pith_short_8: XILJ5NIM

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/XILJ5NIMGEBFHEPFQFL7H3G4TZ \
  | 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: ba169eb50c31025391e58157f3ecdc9e76263e5c3a90240ad4d74076f4a2f5d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7631bf6c59e1fef532fb748c1cc76957df5768af7086f8efdacbcef36e024519",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1996-07-24T14:30:00Z",
    "title_canon_sha256": "7755d9b01b271ab2d06c56e6e443fc42eb26fd023e021ea770352d68f9579d58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9607171",
    "kind": "arxiv",
    "version": 1
  }
}