Pith Number

pith:XG5L63WJ

pith:2024:XG5L63WJNLHMLYIA5IZWMW2E77

not attested not anchored not stored refs pending

Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality

Federico Glaudo, Nicola De Nitti, Tobias K\"onig

arxiv:2403.02303 v2 · 2024-03-04 · 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{XG5L63WJNLHMLYIA5IZWMW2E77}

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

Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality

Receipt and verification

First computed	2026-07-05T08:13:12.689116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9babf6ec96acec5e100ea33665b44ffd6809764cfc5a7b404fbb18941d9acb4

Aliases

arxiv: 2403.02303 · arxiv_version: 2403.02303v2 · doi: 10.48550/arxiv.2403.02303 · pith_short_12: XG5L63WJNLHM · pith_short_16: XG5L63WJNLHMLYIA · pith_short_8: XG5L63WJ

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/XG5L63WJNLHMLYIA5IZWMW2E77 \
  | 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: b9babf6ec96acec5e100ea33665b44ffd6809764cfc5a7b404fbb18941d9acb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65723a497f8199da0fc00581757c5dbc0beeeb948df365cfdbcba7073c0b078",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-03-04T18:33:39Z",
    "title_canon_sha256": "726168f7c795d15f49ee181c3feb3c8957104799012ca4f1beb4677b062a4973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02303",
    "kind": "arxiv",
    "version": 2
  }
}