Pith Number

pith:AO2T6W2I

pith:2026:AO2T6W2IQL6NCAZBOVBOC3D4ZY

not attested not anchored not stored refs pending

Producing Quality Pseudorandomness with a Generalized Gauss Continued-Fraction Map

Benjamin V. Holt

The family of r-continued-fraction maps generates pseudorandom sequences that outperform the Mersenne Twister on standard statistical test suites.

arxiv:2605.05378 v2 · 2026-05-06 · math.DS · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{AO2T6W2IQL6NCAZBOVBOC3D4ZY}

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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

the family of r-continued-fraction maps ... generate pseudorandom output which outperforms many standard generators, such as the Mersenne Twister, in statistical quality, as ascertained by use of the Dieharder, PractRand, and TestU01 suites.

C2weakest assumption

That finite-precision computer implementations of the r-continued-fraction maps preserve enough of the underlying chaotic mixing properties to avoid introducing detectable patterns or biases that the statistical test suites would miss.

C3one line summary

Generalized r-continued-fraction maps produce pseudorandom output that outperforms the Mersenne Twister and other standard generators on Dieharder, PractRand, and TestU01 test suites.

Receipt and verification

First computed	2026-06-03T01:05:50.971940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03b53f5b4882fcd103217542e16c7cce347729fb4fa4218d6cba90dfad24c2c6

Aliases

arxiv: 2605.05378 · arxiv_version: 2605.05378v2 · doi: 10.48550/arxiv.2605.05378 · pith_short_12: AO2T6W2IQL6N · pith_short_16: AO2T6W2IQL6NCAZB · pith_short_8: AO2T6W2I

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AO2T6W2IQL6NCAZBOVBOC3D4ZY \
  | 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: 03b53f5b4882fcd103217542e16c7cce347729fb4fa4218d6cba90dfad24c2c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6f9a0530e314e892e02d682346893f1d530df5cfa7158174dfe3d9080079b5",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-05-06T19:00:30Z",
    "title_canon_sha256": "cf102c05d5ebbc628d76f2b6fac701ffbe32182a904060251c8bb5f1a34d9737"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.05378",
    "kind": "arxiv",
    "version": 2
  }
}