Pith Number

pith:O7AV73BA

pith:2026:O7AV73BAKHDSCFUOKM2WV67CJ5

not attested not anchored not stored refs pending

Hyperstatistics

Constantino Tsallis, Lucas Squillante, Mariano de Souza, Samuel M. Soares

Hyperstatistics derives q-generalized Boltzmann factors that reduce to q-exponentials across multiple probability distributions while preserving q-entropy concavity.

arxiv:2604.24783 v2 · 2026-04-23 · cond-mat.stat-mech · hep-ex · hep-th · nucl-th · physics.acc-ph · physics.data-an · physics.ins-det

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\pithnumber{O7AV73BAKHDSCFUOKM2WV67CJ5}

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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 obtain analytical closed-form expressions for the here proposed q-generalized Boltzmann factor B_q considering uniform, γ, Log-normal, F, and the q-γ probability distribution functions. Remarkably, for all investigated distribution functions, B_q reduces to a q-exponential-type function.

C2weakest assumption

That the chosen probability distribution functions (uniform, gamma, etc.) accurately capture the domains where Boltzmann-Gibbs statistics breaks down and that the resulting B_q preserves concavity of the nonadditive q-entropy without additional constraints.

C3one line summary

Hyperstatistics derives closed-form q-generalized Boltzmann factors for non-Boltzmann-Gibbs domains that reduce to q-exponentials across uniform, gamma, log-normal, F, and q-gamma distributions.

Receipt and verification

First computed	2026-06-04T01:08:50.503466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c15fec2051c721168e53356afbe24f782f528b84a6afb0f16177f9ae2ad675

Aliases

arxiv: 2604.24783 · arxiv_version: 2604.24783v2 · doi: 10.48550/arxiv.2604.24783 · pith_short_12: O7AV73BAKHDS · pith_short_16: O7AV73BAKHDSCFUO · pith_short_8: O7AV73BA

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O7AV73BAKHDSCFUOKM2WV67CJ5 \
  | 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: 77c15fec2051c721168e53356afbe24f782f528b84a6afb0f16177f9ae2ad675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e9d043ca85ab1637657c129aa01a697e1d64bc5c42f777866cd6b90cdf5e77a",
    "cross_cats_sorted": [
      "hep-ex",
      "hep-th",
      "nucl-th",
      "physics.acc-ph",
      "physics.data-an",
      "physics.ins-det"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-23T22:30:25Z",
    "title_canon_sha256": "d575131180aff735f330f000f98e45871e8402c24486cb3f38f741525516ad86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.24783",
    "kind": "arxiv",
    "version": 2
  }
}