Pith Number

pith:ACOXSTQP

pith:2026:ACOXSTQPPPR7OJZB5PABHZVSPM

not attested not anchored not stored refs pending

Analysis of inviscid shear instability of axisymmetric flows

Haider Munawar, Kengo Deguchi, Runjie Song

Sufficient conditions based on Kelvin-Arnold and hurdle theorems determine stability of axisymmetric annular and pipe flows.

arxiv:2601.18029 v1 · 2026-01-25 · physics.flu-dyn

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\pithnumber{ACOXSTQPPPR7OJZB5PABHZVSPM}

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Record completeness

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4 Citations 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

Our sufficient condition for stability improves upon the classical result of Batchelor & Gill (1962)... A novel sufficient condition for instability is also derived by extending the recently proposed hurdle theorem... These analytical criteria are applied to annular and pipe model flows and are shown to effectively predict the neutral parameters obtained from eigenvalue computations of the stability problem.

C2weakest assumption

The derivations assume that the second Kelvin-Arnold theorem and the hurdle-theorem extension apply directly to axisymmetric base flows with the chosen disturbance classes; the paper provides no independent verification that these extensions hold without additional restrictions on the base-flow profiles.

C3one line summary

Sufficient conditions for inviscid stability and instability of axisymmetric annular and pipe flows are derived via extensions of the Kelvin-Arnold and hurdle theorems and validated against eigenvalue computations.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:05:06.833024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009d794e0f7be3f72721ebc013e6b27b1707947dcfeb5eb42383fbf8a5598d37

Aliases

arxiv: 2601.18029 · arxiv_version: 2601.18029v1 · doi: 10.48550/arxiv.2601.18029 · pith_short_12: ACOXSTQPPPR7 · pith_short_16: ACOXSTQPPPR7OJZB · pith_short_8: ACOXSTQP

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ACOXSTQPPPR7OJZB5PABHZVSPM \
  | 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: 009d794e0f7be3f72721ebc013e6b27b1707947dcfeb5eb42383fbf8a5598d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5ebe1371341ce3cbab4cc5601249dd48a7281ae95ddfa8e68b42b2ff89dd996",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-01-25T22:52:04Z",
    "title_canon_sha256": "0133b97d4034311aaebf6cbd94ca79277b65a393da6e70ce7beccf276096504e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.18029",
    "kind": "arxiv",
    "version": 1
  }
}