Pith Number

pith:CGUIWT72

pith:2026:CGUIWT72BFMO6KFCU2MVRFVBBM

not attested not anchored not stored refs pending

Enabling Lie-Algebraic Classical Simulation beyond Free Fermions

Adelina B\"arligea, Jakob S. Kottmann, Matthew L. Sims-Goh

Symmetry-adapted bases enable polynomial-cost Lie-algebraic simulation beyond free fermions.

arxiv:2604.16701 v2 · 2026-04-17 · quant-ph · math-ph · math.MP

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\usepackage{pith}
\pithnumber{CGUIWT72BFMO6KFCU2MVRFVBBM}

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Record completeness

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2 Internet Archive

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

we develop an explicit Pauli orbit basis for permutation-equivariant dynamics, supporting cubic-dimensional algebras despite exponential Pauli support, and a subspace-adapted (modified) generalized Gell-Mann basis for bounded Hamming-weight (U(1)-equivariant) dynamics, yielding polynomial costs on fixed excitation sectors.

C2weakest assumption

That the newly identified dynamical Lie algebras remain polynomially bounded in dimension and that the symmetry-adapted bases render the adjoint-space mapping computationally tractable for the targeted circuit families.

C3one line summary

New Pauli orbit and modified Gell-Mann bases enable polynomial-cost Lie-algebraic simulation for permutation-equivariant and bounded-excitation quantum dynamics.

Receipt and verification

First computed	2026-06-02T01:03:47.180897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11a88b4ffa0958ef28a2a6995896a10b327987383e36dd079a7394f753d2744a

Aliases

arxiv: 2604.16701 · arxiv_version: 2604.16701v2 · doi: 10.48550/arxiv.2604.16701 · pith_short_12: CGUIWT72BFMO · pith_short_16: CGUIWT72BFMO6KFC · pith_short_8: CGUIWT72

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/CGUIWT72BFMO6KFCU2MVRFVBBM \
  | 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: 11a88b4ffa0958ef28a2a6995896a10b327987383e36dd079a7394f753d2744a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3afd934822107eed10d017fc9969de797e31697759d751eac47060e13d54993",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-17T21:05:34Z",
    "title_canon_sha256": "fd6d1955721030cff45f7fc241880a0cc19ce8e7998ab8d7d937e3fd77f6ccfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.16701",
    "kind": "arxiv",
    "version": 2
  }
}