Pith Number

pith:O7QLCRQ4

pith:2017:O7QLCRQ4AC55K4VPSOUHMXBH3B

not attested not anchored not stored refs pending

Weighted Inequalities for the Fractional Laplacian and the Existence of Extremals

Ariel Salort, Irene Drelichman, Pablo De N\'apoli

arxiv:1705.00030 v2 · 2017-04-28 · 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{O7QLCRQ4AC55K4VPSOUHMXBH3B}

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	2026-05-18T00:14:28.976972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77e0b1461c00bbd572af93a8765c27d8521f385bdc0f0afbac01eed57063cfd9

Aliases

arxiv: 1705.00030 · arxiv_version: 1705.00030v2 · doi: 10.48550/arxiv.1705.00030 · pith_short_12: O7QLCRQ4AC55 · pith_short_16: O7QLCRQ4AC55K4VP · pith_short_8: O7QLCRQ4

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/O7QLCRQ4AC55K4VPSOUHMXBH3B \
  | 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: 77e0b1461c00bbd572af93a8765c27d8521f385bdc0f0afbac01eed57063cfd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "082737d0219e2a9958f5e37f7661765680e13c5b5aeba63a8f32ee1a289ec33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-28T18:38:07Z",
    "title_canon_sha256": "6286fad867de031b2536da6d216e002660aa583e93a3dae54fe14eaeae8ef470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00030",
    "kind": "arxiv",
    "version": 2
  }
}