Pith Number

pith:OEGDI6EQ

pith:2026:OEGDI6EQGI4VWDGWWSIR7Y5ODC

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A user-friendly package and workflow for generating effective homogeneous rheologies for the study of the long-term orbital evolution of multilayered planetary bodies

Yeva Gevorgyan

A package automates reduction of layered planetary interiors to equivalent homogeneous generalized Voigt rheologies for tidal evolution studies.

arxiv:2603.14444 v3 · 2026-03-15 · astro-ph.EP · astro-ph.IM · cs.NA · math.NA

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\usepackage{pith}
\pithnumber{OEGDI6EQGI4VWDGWWSIR7Y5ODC}

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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 package automates construction of an effective homogeneous generalized Voigt rheology for a spherically symmetric incompressible layered body with Maxwell solid layers, providing parameters suitable for downstream numerical applications in tidal evolution studies.

C2weakest assumption

That the numerical identification of secular relaxation poles and residues, followed by inversion into generalized Voigt compliance, accurately reproduces the layered response over the frequency interval relevant for orbital evolution without significant truncation or numerical artifacts.

C3one line summary

An open-source package automates reduction of spherically symmetric incompressible layered Maxwell bodies to equivalent homogeneous generalized Voigt rheologies via propagator-matrix Love numbers, pole-residue identification, and compliance inversion.

Formal links

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Receipt and verification

First computed	2026-06-03T14:05:23.674759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

710c34789032395b0cd6b4911fe3ae1894132ff17a018fbc9bb4f19d7ac852a9

Aliases

arxiv: 2603.14444 · arxiv_version: 2603.14444v3 · doi: 10.48550/arxiv.2603.14444 · pith_short_12: OEGDI6EQGI4V · pith_short_16: OEGDI6EQGI4VWDGW · pith_short_8: OEGDI6EQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OEGDI6EQGI4VWDGWWSIR7Y5ODC \
  | 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: 710c34789032395b0cd6b4911fe3ae1894132ff17a018fbc9bb4f19d7ac852a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927d712fedb9bb726013dd148aaf4b530ff5889ed59fe8e3ee9527379b590613",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2026-03-15T15:42:15Z",
    "title_canon_sha256": "65f20938c21111f09ffcd079d25f0c476c5cafb9d292a2bdd337804d51dd3b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.14444",
    "kind": "arxiv",
    "version": 3
  }
}