Pith Number

pith:C2Q2SPU6

pith:2025:C2Q2SPU6AJHX6DJYYXHOLIQPJL

not attested not anchored not stored refs pending

Bifurcation and multiplicity results for critical problems involving the $p$-Grushin operator

Giovanni Molica Bisci, Paolo Malanchini, Simone Secchi

arxiv:2501.11013 v1 · 2025-01-19 · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2Q2SPU6AJHX6DJYYXHOLIQPJL}

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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

1 paper in Pith

Bifurcation and multiplicity results for critical Grushin-Choquard problems

Receipt and verification

First computed	2026-07-05T10:03:01.855231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a1a93e9e024f7f0d38c5cee5a20f4ad097872ba851316775ffd4fcee6e2008

Aliases

arxiv: 2501.11013 · arxiv_version: 2501.11013v1 · doi: 10.48550/arxiv.2501.11013 · pith_short_12: C2Q2SPU6AJHX · pith_short_16: C2Q2SPU6AJHX6DJY · pith_short_8: C2Q2SPU6

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/C2Q2SPU6AJHX6DJYYXHOLIQPJL \
  | 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: 16a1a93e9e024f7f0d38c5cee5a20f4ad097872ba851316775ffd4fcee6e2008

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91ccf2157829332f9d37c09a1178b5f10f5b257c45b74c35b2560a6b656ee431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-01-19T11:14:12Z",
    "title_canon_sha256": "a4da7cfd0464d711d0feb9ace8a6dbabec65bf45ec63fc4fb19547a968219b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11013",
    "kind": "arxiv",
    "version": 1
  }
}