Pith Number

pith:FVGTENEJ

pith:2026:FVGTENEJ3KW5Z5SDQFFZ2IFEAS

not attested not anchored not stored refs resolved

vega-mir: An information-theoretic Python toolkit for symbolic music, with applications to harmonic graphs and rubato spectra

Fred Jalbert-Desforges

vega-mir bundles nine metrics for symbolic music and applies network and spectral analysis to find a 0.61 correlation between composer graph centrality and KL divergence plus structured rubato in Bach performers.

arxiv:2605.16539 v1 · 2026-05-15 · cs.SD · physics.data-an

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4 Citations open

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Claims

C1strongest claim

On the fourteen MAESTRO composers with N >= 10 pieces, the PageRank value of the gravity-centre node correlates with the marginal Kullback-Leibler distance at rho = 0.61 (Spearman, composer-level jackknife N = 14); Gould holds the highest periodicity ratio of the three performers on the 247-piece Bach corpus.

C2weakest assumption

The gravity-centre node in the chord-transition graphs and the chosen rubato curve extraction method are assumed to capture musically meaningful structure without additional validation against human judgments or alternative graph constructions, as implied by the case-study descriptions in the abstract.

C3one line summary

References

11 extracted · 11 resolved · 1 Pith anchors

[1] Cancino-Chacón, Carlos Eduardo, Silvan David Peter, Emmanouil Karystinaios, Francesco Foscarin, Maarten Grachten, and Gerhard Widmer. 2022. ``Partitura: A P ython Package for Symbolic Music Processing 2022 · doi:10.21105/joss.04519

[2] Cuthbert, Michael Scott, and Christopher Ariza. 2010. ``Music21: A Toolkit for Computer-Aided Musicology and Symbolic Music Data.'' Proceedings of the 11th International Society for Music Information 2010

[3] Schult, and Pieter J 2008

[4] Harris, Charles R. et al. 2020. ``Array Programming with NumPy .'' Nature 585 (7825): 357--62. https://doi.org/10.1038/s41586-020-2649-2 2020 · doi:10.1038/s41586-020-2649-2

[5] Higuchi, Tomoyuki. 1988. ``Approach to an Irregular Time Series on the Basis of the Fractal Theory.'' Physica D: Nonlinear Phenomena 31 (2): 277--83. https://doi.org/10.1016/0167-2789(88)90081-4 1988 · doi:10.1016/0167-2789(88)90081-4

Formal links

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Receipt and verification

First computed	2026-05-20T00:02:28.069005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d4d323489daaddcf643814b9d20a404b7d280bc203f2063eb5cbe1549b993eb

Aliases

arxiv: 2605.16539 · arxiv_version: 2605.16539v1 · doi: 10.48550/arxiv.2605.16539 · pith_short_12: FVGTENEJ3KW5 · pith_short_16: FVGTENEJ3KW5Z5SD · pith_short_8: FVGTENEJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FVGTENEJ3KW5Z5SDQFFZ2IFEAS \
  | 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: 2d4d323489daaddcf643814b9d20a404b7d280bc203f2063eb5cbe1549b993eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7400f37f1af1b05c82e5ae95f69444224b0c52cb9cbe2d988fefba3e7617638a",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.SD",
    "submitted_at": "2026-05-15T18:34:22Z",
    "title_canon_sha256": "828e1125a7371b04f39ddd6d9a49a618fc4ea92757b9801719f8b4f9c8166859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16539",
    "kind": "arxiv",
    "version": 1
  }
}