Pith Number

pith:M46EVY7O

pith:2026:M46EVY7OTVYR6HQDWBS6AM3CUA

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Jones-Roberts solitary waves and the onset of rotation in a spherical surface condensate

Alberto Villois, Davide Proment, Noel Cuadra, Thomas Gasenzer

In a spherical-shell Bose-Einstein condensate, Jones-Roberts solitary waves mark the onset of rotation, evolving from vortex dipoles to hybrid equatorial modes whose speed limits the entire family via a Landau critical velocity.

arxiv:2605.18297 v1 · 2026-05-18 · cond-mat.quant-gas

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\pithnumber{M46EVY7OTVYR6HQDWBS6AM3CUA}

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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 propagation speed of equatorially confined modes plays the role of a Landau critical velocity, thereby setting the upper limiting angular speed of the entire Jones-Roberts family.

C2weakest assumption

The analysis assumes that the nonlinear excitations remain solitary waves that rotate at strictly constant angular speed on an idealized thin spherical shell without significant radial leakage or damping.

C3one line summary

References

67 extracted · 67 resolved · 0 Pith anchors

[1] Initial condition Our numerical analysis begins with the initial condition for a pair of vortices on the surface of the sphere. In the flat plane, the phase profile of a vortex-antivortex pair, situat

[2] Spectral methods The order parameterψis represented using spherical har- monicsY l,m(θ, ϕ) with complex coefficientscl,m, ψ(ϕ, θ)= lmaxX l=0 lX m=−l cl,mYl,m(ϕ, θ),(C4) whose indices are truncated to

[3] δψ ∂ψ∗ sw ∂ϕ +c.c. # dAϕ,θ =−iΩR 2 Z

[4] In the following we chooseθ ξ =1/R, i.e., a core arc-length radius ofRθ ξ =1, in units of the healing length

[5] O. Zobay and B. M. Garraway, Phys. Rev. Lett.86, 1195 (2001) 2001

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:05:53.926126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

673c4ae3ee9d711f1e03b065e03362a010615bcebdd3de7efc17b385144d661d

Aliases

arxiv: 2605.18297 · arxiv_version: 2605.18297v1 · doi: 10.48550/arxiv.2605.18297 · pith_short_12: M46EVY7OTVYR · pith_short_16: M46EVY7OTVYR6HQD · pith_short_8: M46EVY7O

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M46EVY7OTVYR6HQDWBS6AM3CUA \
  | 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: 673c4ae3ee9d711f1e03b065e03362a010615bcebdd3de7efc17b385144d661d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250183d1cd388837edcb14d5965b55091c03215b024d09bba909fdbc19856ea3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-05-18T12:18:33Z",
    "title_canon_sha256": "534223bd6982afabdd724d58b3af067fec6e6a33e3277c4a6c062b49b077812a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18297",
    "kind": "arxiv",
    "version": 1
  }
}