Pith Number

pith:TG4K76D4

pith:2026:TG4K76D4AZAA5I2K2KKVEEYTX4

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Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/$\mathbb{Z}_2^2$ symmetry

J. M. P. Carmelo

The Hubbard model on bipartite lattices in d>1 obeys seven exact theorems derived from its full [SU(2)×SU(2)×U(1)]/ℤ₂² symmetry.

arxiv:2604.25712 v2 · 2026-04-28 · cond-mat.str-el

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\pithnumber{TG4K76D4AZAA5I2K2KKVEEYTX4}

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Record completeness

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3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

Seven exact theorems that provide new physical insight into the model are established. Overall, the exact framework based on physical spins and physical η-spins for the Hubbard model on bipartite lattices of spatial dimension d>1 introduced in this paper offers a robust foundation for future studies.

C2weakest assumption

The full [SU(2)×SU(2)×U(1)]/Z₂² symmetry applies exactly to the Hubbard model on bipartite lattices in d>1 and generates the seven theorems without additional assumptions or approximations.

C3one line summary

Seven exact theorems for the Hubbard model on bipartite lattices in d>1 are derived from its full [SU(2)×SU(2)×U(1)]/Z₂² symmetry, introducing a framework of physical spins and η-spins.

Receipt and verification

First computed	2026-05-20T00:04:33.030824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99b8aff87c06400ea34ad295521313bf062a0df9a83abef88889c8bb695317f4

Aliases

arxiv: 2604.25712 · arxiv_version: 2604.25712v2 · doi: 10.48550/arxiv.2604.25712 · pith_short_12: TG4K76D4AZAA · pith_short_16: TG4K76D4AZAA5I2K · pith_short_8: TG4K76D4

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TG4K76D4AZAA5I2K2KKVEEYTX4 \
  | 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: 99b8aff87c06400ea34ad295521313bf062a0df9a83abef88889c8bb695317f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a83a34402b251fe39117faa36fd23f6abeb0993149decacae4d00d781a11fdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-04-28T14:41:14Z",
    "title_canon_sha256": "a5e63fc3cb485035adfd077cd8a6f45e7db0227248db4c91b50d4c0abebee18d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25712",
    "kind": "arxiv",
    "version": 2
  }
}