Pith Number

pith:TJYMFJ3M

pith:2026:TJYMFJ3MF3SIVXHOWDMW5LQE4J

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MF-toolkit: A High-Performance Python Library for Multifractal Analysis with Automated Crossover Detection, Source Identification and Application to Gravitational Waves Data

Maria Cristina Mariani Maria Pia Beccar-Varela, Nahuel Mendez, Osei Tweneboah, Sebastian Jaroszewicz

MF-toolkit automates crossover detection and surrogate testing to identify multifractality sources in time series.

arxiv:2604.16257 v1 · 2026-04-17 · cond-mat.stat-mech · gr-qc

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Claims

C1strongest claim

We introduce MF-toolkit, a high-performance, parallelized Python library designed to address these challenges. It integrates three key innovations: (1) fully automatic crossover detection algorithms (CDV-A and SPIC), which remove operator bias and enhance reproducibility; (2) a built-in implementation of the Iterative Amplitude Adjusted Fourier Transform (IAAFT) for generating surrogate data, enabling the robust identification of the source of multifractality; and (3) a comprehensive suite for generating synthetic time series for rigorous validation.

C2weakest assumption

That the new automatic crossover detection algorithms (CDV-A and SPIC) accurately and generally identify true scaling regions without introducing their own bias, and that this holds for non-stationary noise in real gravitational wave data.

C3one line summary

MF-toolkit is a new Python library with automated crossover detection algorithms and surrogate analysis for multifractal time series, demonstrated on LIGO gravitational wave data.

References

28 extracted · 28 resolved · 0 Pith anchors

[1] Long correlations and truncated levy walks applied to the study latin-american market in- dices 2005

[2] Mosaic organization of dna nucleotides 1994

[3] Scaling detection in extrachromosomal dna 2022

[4] Characterising the interplay of dynamics and artefacts: a multifractal analysis of historical humpback whale recordings 2026

[5] Wavelet-based multifractal analysis of the el niño/southern oscillation, the indian ocean dipole and the north atlantic oscillation 2011

Receipt and verification

First computed	2026-06-23T01:12:07.274728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a70c2a76c2ee48adceeb0d96eae04e24cf2614e75f41da61cc94a3ec7299314

Aliases

arxiv: 2604.16257 · arxiv_version: 2604.16257v1 · doi: 10.48550/arxiv.2604.16257 · pith_short_12: TJYMFJ3MF3SI · pith_short_16: TJYMFJ3MF3SIVXHO · pith_short_8: TJYMFJ3M

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TJYMFJ3MF3SIVXHOWDMW5LQE4J \
  | 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: 9a70c2a76c2ee48adceeb0d96eae04e24cf2614e75f41da61cc94a3ec7299314

Canonical record JSON

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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-17T17:15:43Z",
    "title_canon_sha256": "25f791bc9c3066803313ef992f46d8f84cd8735632b1fd7f6a0336cdf333d550"
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