Pith Number

pith:F3K6QSKH

pith:2022:F3K6QSKHSVYA6U4ERMXTO2DZED

not attested not anchored not stored refs pending

A Brezis-Nirenberg type result for mixed local and nonlocal operators

Enrico Valdinoci, Eugenio Vecchi, Serena Dipierro, Stefano Biagi

arxiv:2209.07502 v2 · 2022-09-15 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3K6QSKHSVYA6U4ERMXTO2DZED}

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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

2 papers in Pith

Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions

Blow-up of solutions to semilinear parabolic equations driven by mixed local-nonlocal operators with large initial data

Receipt and verification

First computed	2026-07-05T10:50:06.534875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ed5e8494795700f53848b2f37687920f65fe176a67bf039a8677d0e57df59e7

Aliases

arxiv: 2209.07502 · arxiv_version: 2209.07502v2 · doi: 10.48550/arxiv.2209.07502 · pith_short_12: F3K6QSKHSVYA · pith_short_16: F3K6QSKHSVYA6U4E · pith_short_8: F3K6QSKH

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/F3K6QSKHSVYA6U4ERMXTO2DZED \
  | 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: 2ed5e8494795700f53848b2f37687920f65fe176a67bf039a8677d0e57df59e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8293e49c92ff1d63acdb31e0c451d1df807f18de734000ba0ed3698bebe563e9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-09-15T17:45:28Z",
    "title_canon_sha256": "85b29e48ce1dd59c0eb4e88b0f733c4d2588ff7b4a60c8da4ae8ffcb24692756"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.07502",
    "kind": "arxiv",
    "version": 2
  }
}