Pith Number

pith:PEZ3QQOT

pith:2024:PEZ3QQOTWSC4XLE6YL3KWK3D3O

not attested not anchored not stored refs pending

Classification Theorem For Positive Critical Points Of Sobolev Trace Inequality

Yang Zhou

arxiv:2402.17602 v4 · 2024-02-27 · math.AP · math.FA

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\usepackage{pith}
\pithnumber{PEZ3QQOTWSC4XLE6YL3KWK3D3O}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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.

Cited by

4 papers in Pith

Liouville Theorem for $(p,q)$-Laplace Equations

Critical quasi-linear Schr\"{o}dinger system with $p$-Laplacian

Liouville theorems for $p$-Laplacian equations in convex cones without finite-energy condition

Classification of solutions to the singular Liouville's equation associated with the $N$ Finsler Laplacian

Receipt and verification

First computed	2026-07-05T08:44:51.428054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7933b841d3b485cbac9ec2f6ab2b63dbae59cd7368122421ef1289952fce70ae

Aliases

arxiv: 2402.17602 · arxiv_version: 2402.17602v4 · doi: 10.48550/arxiv.2402.17602 · pith_short_12: PEZ3QQOTWSC4 · pith_short_16: PEZ3QQOTWSC4XLE6 · pith_short_8: PEZ3QQOT

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PEZ3QQOTWSC4XLE6YL3KWK3D3O \
  | 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: 7933b841d3b485cbac9ec2f6ab2b63dbae59cd7368122421ef1289952fce70ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efee4ba434e843b51a11c316082606212d918299fbe125f724b20cc1378b3e3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-27T15:30:34Z",
    "title_canon_sha256": "e9d322387b08fc12bb9d84e943fdc531cd6a0728ca2c28e77d1646fa0759f2a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17602",
    "kind": "arxiv",
    "version": 4
  }
}