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Pith Number

pith:U3B3JYGI

pith:2008:U3B3JYGIVOJTJ7AOFWRBGWSAU5
not attested not anchored not stored refs pending

Ground-state properties of the two-site Hubbard-Holstein model: an exact solution

Kelin Wang, Qing-Hu Chen, Tao Liu, Xiaoguang Wang, Yu-Yu Zhang

arxiv:0809.4426 v1 · 2008-09-25 · cond-mat.str-el · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{U3B3JYGIVOJTJ7AOFWRBGWSAU5}

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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 2026-05-18T02:15:33.559838Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a6c3b4e0c8ab9334fc0e2da2135a40a74fef3f83b0803c1f00e368d2f5648042

Aliases

arxiv: 0809.4426 · arxiv_version: 0809.4426v1 · doi: 10.48550/arxiv.0809.4426 · pith_short_12: U3B3JYGIVOJT · pith_short_16: U3B3JYGIVOJTJ7AO · pith_short_8: U3B3JYGI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/U3B3JYGIVOJTJ7AOFWRBGWSAU5 \
  | 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: a6c3b4e0c8ab9334fc0e2da2135a40a74fef3f83b0803c1f00e368d2f5648042
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4145193e523354ad2f739f2176433101a954cb74befb9eb0e174e4d7a1aa379f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2008-09-25T15:12:19Z",
    "title_canon_sha256": "ad34476f580bd09ecff33f8cc5d89b0c77e5a8deebbca213f0aaf418f1824130"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4426",
    "kind": "arxiv",
    "version": 1
  }
}