Pith Number

pith:HN4FD5VD

pith:2026:HN4FD5VDJLMMYXC2AWS7NWRTNV

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Asymptotic profiles for the Cauchy problem of semilinear beam equation with two variable coefficients in the subcritical case

Mohamed Ali Hamza, Shuji Yoshikawa, Yuta Wakasugi

Self-similar solutions of the associated parabolic problem are asymptotically stable for the semilinear beam equation with two variable coefficients in the subcritical case.

arxiv:2605.00550 v2 · 2026-05-01 · math.AP

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\usepackage{pith}
\pithnumber{HN4FD5VDJLMMYXC2AWS7NWRTNV}

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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

We prove an asymptotic stability result of self-similar solutions of the associated parabolic problem.

C2weakest assumption

The semilinear beam equation with two variable coefficients admits the required weighted energy estimates in parabolic self-similar variables in the subcritical case.

C3one line summary

Proves asymptotic stability of self-similar solutions for the semilinear beam equation in the subcritical case using fine energy estimates in weighted spaces rewritten in parabolic self-similar variables.

Receipt and verification

First computed	2026-06-02T03:04:41.665902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b7851f6a34ad8cc5c5a05a5f6da336d591ca6379006c54d3f7f0fcd82174fa7

Aliases

arxiv: 2605.00550 · arxiv_version: 2605.00550v2 · doi: 10.48550/arxiv.2605.00550 · pith_short_12: HN4FD5VDJLMM · pith_short_16: HN4FD5VDJLMMYXC2 · pith_short_8: HN4FD5VD

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HN4FD5VDJLMMYXC2AWS7NWRTNV \
  | 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: 3b7851f6a34ad8cc5c5a05a5f6da336d591ca6379006c54d3f7f0fcd82174fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6347683a945bcf26b40876da7be12a92257668b059b783ff2c0c2a767edc192c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-01T10:04:59Z",
    "title_canon_sha256": "a1b9115d624d63974d739c3d3f8eb7fa1b59bd344faf4f57244045efc1f17b10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00550",
    "kind": "arxiv",
    "version": 2
  }
}