Pith Number

pith:QUSKDIQI

pith:2026:QUSKDIQIHQU3BLPRVSO3NIXK2E

not attested not anchored not stored refs pending

An approximate Kappa generator for particle simulations

Seiji Zenitani, Takayuki Umeda

A q-exponential approximation to the Kappa CDF enables fast inverse-transform sampling of velocities for particle simulations.

arxiv:2602.05606 v3 · 2026-02-05 · physics.plasm-ph · astro-ph.IM · physics.space-ph

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\usepackage{pith}
\pithnumber{QUSKDIQIHQU3BLPRVSO3NIXK2E}

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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

Approximating the cumulative distribution function with the q-exponential function, an inverse transform procedure is constructed. The proposed method provides practically accurate results, in particular for k<4.

C2weakest assumption

That the q-exponential approximation to the Kappa CDF remains sufficiently accurate for the error tolerances required in typical particle-in-cell or Monte-Carlo simulations when kappa is less than 4.

C3one line summary

An approximate inverse-transform sampler for Kappa distributions is constructed via q-exponential CDF fitting and shown to be accurate for kappa less than 4 while running efficiently on GPUs.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-08T01:03:57.837997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8524a1a2083c29b0adf1ac9db6a2ead138828b996c760ca0da74e7f34e3bedd0

Aliases

arxiv: 2602.05606 · arxiv_version: 2602.05606v3 · doi: 10.48550/arxiv.2602.05606 · pith_short_12: QUSKDIQIHQU3 · pith_short_16: QUSKDIQIHQU3BLPR · pith_short_8: QUSKDIQI

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/QUSKDIQIHQU3BLPRVSO3NIXK2E \
  | 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: 8524a1a2083c29b0adf1ac9db6a2ead138828b996c760ca0da74e7f34e3bedd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "369ef58cd2ee4762af48d8e63929bf90913916a4c80e07e133ddb4e9fe0d66e3",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "physics.space-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2026-02-05T12:45:04Z",
    "title_canon_sha256": "c8a16f4d6573e19663c6faf2488640f305e525665a411e2c860e00f09b6e3e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05606",
    "kind": "arxiv",
    "version": 3
  }
}