Pith Number

pith:YCKETCBB

pith:2024:YCKETCBBMKVGCZZVL4MM2UZKZV

not attested not anchored not stored refs pending

A note on nonlinear critical problems involving the Grushin Subelliptic Operator: bifurcation and multiplicity results

Giovanni Molica Bisci, Paolo Malanchini, Simone Secchi

arxiv:2402.17476 v1 · 2024-02-27 · math.AP

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\usepackage{pith}
\pithnumber{YCKETCBBMKVGCZZVL4MM2UZKZV}

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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 problems involving the $p$-Grushin operator

Receipt and verification

First computed	2026-07-05T07:49:47.202516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09449882162aa6167355f18cd532acd4408065b4a181148a5ec30ec2ccb31ed

Aliases

arxiv: 2402.17476 · arxiv_version: 2402.17476v1 · doi: 10.48550/arxiv.2402.17476 · pith_short_12: YCKETCBBMKVG · pith_short_16: YCKETCBBMKVGCZZV · pith_short_8: YCKETCBB

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/YCKETCBBMKVGCZZVL4MM2UZKZV \
  | 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: c09449882162aa6167355f18cd532acd4408065b4a181148a5ec30ec2ccb31ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eedfefc16de2cd04ad7315c793b7a5ffc20845de8ae213769659d44d8345931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-02-27T12:59:52Z",
    "title_canon_sha256": "13c97a7ff7692d91d934179a054d3fd294f0771d6d668c1176b2bc3336a48af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.17476",
    "kind": "arxiv",
    "version": 1
  }
}