Pith Number

pith:2GNMQ4MB

pith:2025:2GNMQ4MBM5TGMBJXHCRQPNQI6B

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Bethe-ansatz study of the Bose-Fermi mixture

Aleksandra Petkovi\'c, Soham Chandak, Zoran Ristivojevic

In equal-mass Bose-Fermi mixtures the squared excitation velocities equal the eigenvalues of the compressibility matrix times the Drude weight matrix.

arxiv:2512.21732 v3 · 2025-12-25 · cond-mat.quant-gas · cond-mat.stat-mech · math-ph · math.MP

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\pithnumber{2GNMQ4MBM5TGMBJXHCRQPNQI6B}

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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 show that the excitation velocities can be calculated from the knowledge of the matrices of compressibility and the Drude weights, as their squares are the eigenvalues of the product of the two matrices.

C2weakest assumption

The system with equal interaction strengths and equal masses of bosons and fermions is integrable and admits an exact Bethe-ansatz solution.

C3one line summary

In an integrable 1D Bose-Fermi mixture with equal parameters, excitation velocities squared are the eigenvalues of the compressibility-Drude weight matrix product, with exact results consistent with momentum-momentum coupling in the low-energy theory.

Receipt and verification

First computed	2026-05-22T01:04:54.416723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d19ac87181676666053738a307b608f0705fc134365c9056722752cf95f541b2

Aliases

arxiv: 2512.21732 · arxiv_version: 2512.21732v3 · doi: 10.48550/arxiv.2512.21732 · pith_short_12: 2GNMQ4MBM5TG · pith_short_16: 2GNMQ4MBM5TGMBJX · pith_short_8: 2GNMQ4MB

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2GNMQ4MBM5TGMBJXHCRQPNQI6B \
  | 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: d19ac87181676666053738a307b608f0705fc134365c9056722752cf95f541b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef011fbebdd62d9fb1508235973b64668ea6627962b59efa4b6600d723e223ad",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2025-12-25T16:31:00Z",
    "title_canon_sha256": "a95f98f03d6954eca89b59bc67ff85ee17f3098923efa876a62dc91d5924f36a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21732",
    "kind": "arxiv",
    "version": 3
  }
}