Pith Number

pith:PSSZNDC3

pith:2023:PSSZNDC3CTLOFEAOXOCOBTZXVR

not attested not anchored not stored refs pending

$L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

Anh Xuan Do, Guozhen Lu, Joshua Flynn, Nguyen Lam

arxiv:2310.07083 v1 · 2023-10-10 · 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{PSSZNDC3CTLOFEAOXOCOBTZXVR}

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

Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincar\'e Inequalities: a complete characterization of sharp $L^2$ stability and $L^p$ extensions

Receipt and verification

First computed	2026-07-05T06:59:40.324016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca5968c5b14d6e2900ebb84e0cf37ac50dd25ead8f4cd2f34dfc4bfe2e72486

Aliases

arxiv: 2310.07083 · arxiv_version: 2310.07083v1 · doi: 10.48550/arxiv.2310.07083 · pith_short_12: PSSZNDC3CTLO · pith_short_16: PSSZNDC3CTLOFEAO · pith_short_8: PSSZNDC3

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/PSSZNDC3CTLOFEAOXOCOBTZXVR \
  | 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: 7ca5968c5b14d6e2900ebb84e0cf37ac50dd25ead8f4cd2f34dfc4bfe2e72486

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43c87df791c8034069c77c8811f744e3005abb7b4dc8c74a37d1c00ebefeed3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-10-10T23:58:49Z",
    "title_canon_sha256": "a105d044fcce7089302fdc7d6f73dcc0516869f2c0370e0457cf5b4ffdaec25b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.07083",
    "kind": "arxiv",
    "version": 1
  }
}