Pith Number

pith:KX4KKLMS

pith:2025:KX4KKLMSEQTD7EZ7L2D7NKHTLO

not attested not anchored not stored refs pending

Fractional $Q$-curvature on the sphere and optimal partitions

Alberto Salda\~na, H\'ector A. Chang-Lara, Juan Carlos Fern\'andez

arxiv:2504.16882 v1 · 2025-04-23 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KX4KKLMSEQTD7EZ7L2D7NKHTLO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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	2026-07-05T10:53:05.871918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f8a52d9224263f933f5e87f6a8f35ba0ec9360b967f1e7c7b801578bcefa49

Aliases

arxiv: 2504.16882 · arxiv_version: 2504.16882v1 · doi: 10.48550/arxiv.2504.16882 · pith_short_12: KX4KKLMSEQTD · pith_short_16: KX4KKLMSEQTD7EZ7 · pith_short_8: KX4KKLMS

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/KX4KKLMSEQTD7EZ7L2D7NKHTLO \
  | 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: 55f8a52d9224263f933f5e87f6a8f35ba0ec9360b967f1e7c7b801578bcefa49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72e65ed927275bade253d3943ae31d86e7f1efbd57c3d0190cd5efbc8093040c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-23T16:58:35Z",
    "title_canon_sha256": "e443ad02b7b0f572d2ba009314224bf9dc4710026824c0f60d98b2e184b164b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16882",
    "kind": "arxiv",
    "version": 1
  }
}