Pith Number

pith:OHEYAH4T

pith:2026:OHEYAH4TOZ6UKRRVCZBRAN57EV

not attested not anchored not stored refs resolved

Dynamic similarity of vortex shedding in a superfluid flowing past a penetrable obstacle

Junhwan Kwon, Y. Shin

A superfluid Reynolds number built from the supersonic region around a penetrable obstacle collapses wake patterns and drag across different obstacle sizes.

arxiv:2602.03518 v2 · 2026-02-03 · cond-mat.quant-gas · physics.flu-dyn

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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

Using this flow-defined length scale, we construct a superfluid Reynolds number Re_s = (v_0 - v_c) D_eff / (ℏ/m) ... We show that Re_s organizes the wake dynamics across obstacle sizes and strengths: the transition from dipole-row emission to alternating vortex cluster shedding occurs at Re_s around 2, and both the Strouhal number and the drag coefficient collapse onto universal curves when plotted as functions of Re_s.

C2weakest assumption

That the Mach-1 contour of the time-averaged irrotational flow accurately delineates the region where quantized vortices nucleate and that subtracting v_c yields a dynamically meaningful velocity scale independent of specific numerical details or obstacle modeling choices.

C3one line summary

A superfluid Reynolds number defined from the Mach-1 contour of the irrotational flow organizes wake dynamics for penetrable obstacles, with shedding transition at Re_s ~2 and collapse of Strouhal number and drag coefficient.

References

63 extracted · 63 resolved · 0 Pith anchors

[1] G. K. Batchelor,An Introduction to Fluid Dynamics (Cambridge University Press, England, 2000) 2000

[2] Roshko, On the development of turbulent wakes from vortex streets, National Advisory Committee for Aero- nautics Technical Note 1191, California Institute of Tech- nology, 1953 1953

[3] M. Provansal, C. Mathis, and L. Boyer, B´ enard–von K´ arm´ an instability: transient and forced regimes, J. Fluid Mech.182, 1 (1987) 1987

[4] J. H. Lienhard, Synopsis of lift, drag, and vortex fre- quency data for rigid circular cylinders, inTechnical Ex- tension Service(Washington State university, Bulletin, 1966) 1966

[5] A. Roshko, Experiments on the flow past a circular cylin- der at very high Reynolds number, J. Fluid Mech.10, 345 (1961) 1961

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:09:23.966654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71c9801f93767d45463516431037bf2548aa3bfbda7834dfe10cef221422b868

Aliases

arxiv: 2602.03518 · arxiv_version: 2602.03518v2 · doi: 10.48550/arxiv.2602.03518 · pith_short_12: OHEYAH4TOZ6U · pith_short_16: OHEYAH4TOZ6UKRRV · pith_short_8: OHEYAH4T

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/OHEYAH4TOZ6UKRRVCZBRAN57EV \
  | 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: 71c9801f93767d45463516431037bf2548aa3bfbda7834dfe10cef221422b868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bebd5bed3ef14670871cfbe580a370588699e12020c689fc21b1c189578b2d85",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-02-03T13:36:20Z",
    "title_canon_sha256": "ab7f24fba12442831bf8b48a80256eec999b2d002d0e61a585eb5d71293187e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.03518",
    "kind": "arxiv",
    "version": 2
  }
}