Pith Number

pith:VPUGM4MH

pith:2024:VPUGM4MH4IOKZNGKOMJEVFZ7A4

not attested not anchored not stored refs pending

On positive solutions of critical semilinear equations involving the Logarithmic Laplacian

Feng Zhou, Huyuan Chen

arxiv:2409.04797 v6 · 2024-09-07 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPUGM4MH4IOKZNGKOMJEVFZ7A4}

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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

The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces

Receipt and verification

First computed	2026-07-05T11:35:50.901674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe8667187e21cacb4ca73124a973f0723996b03a5757fd2c200f35d0b536f6e

Aliases

arxiv: 2409.04797 · arxiv_version: 2409.04797v6 · doi: 10.48550/arxiv.2409.04797 · pith_short_12: VPUGM4MH4IOK · pith_short_16: VPUGM4MH4IOKZNGK · pith_short_8: VPUGM4MH

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/VPUGM4MH4IOKZNGKOMJEVFZ7A4 \
  | 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: abe8667187e21cacb4ca73124a973f0723996b03a5757fd2c200f35d0b536f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343b3e75bdf3c1e9362921f62acedf28fceefb94769a50ff60b7097a3cc4f489",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-07T11:27:28Z",
    "title_canon_sha256": "2e4e91a8ed0b1720f21eaf34cc1e63f25d1eaa78cfc1007f71e82e802518ca8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.04797",
    "kind": "arxiv",
    "version": 6
  }
}