Pith Number

pith:RSNRMEAJ

pith:2019:RSNRMEAJES7COC4O2UX555BNND

not attested not anchored not stored refs pending

Existence of an extremal of Dunkl-type Sobolev inequality and of Stein-Weiss inequality for D-Riesz potential

Sanjay Parui, Saswata Adhikari, V. P. Anoop

arxiv:1902.08530 v4 · 2019-02-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RSNRMEAJES7COC4O2UX555BNND}

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.

Receipt and verification

First computed	2026-05-17T23:46:28.844950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c9b16100924be270b8ed52fdef42d68c76ce3794e500a1aa64f281e66aecf7a

Aliases

arxiv: 1902.08530 · arxiv_version: 1902.08530v4 · doi: 10.48550/arxiv.1902.08530 · pith_short_12: RSNRMEAJES7C · pith_short_16: RSNRMEAJES7COC4O · pith_short_8: RSNRMEAJ

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/RSNRMEAJES7COC4O2UX555BNND \
  | 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: 8c9b16100924be270b8ed52fdef42d68c76ce3794e500a1aa64f281e66aecf7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ece0bcfb4c92a10829c8a4a878a6836690ebaa6dc5daeae72a7f52c0d2a9a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-22T15:23:46Z",
    "title_canon_sha256": "5c16b4e6dae709681b055ec1a362db5b8808139b4808e3e041be52fab3c4953e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08530",
    "kind": "arxiv",
    "version": 4
  }
}