Pith Number

pith:QPIZHTNP

pith:2018:QPIZHTNPRHOZAYGKL4MFQEUP33

not attested not anchored not stored refs pending

Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups

Durvudkhan Suragan, Michael Ruzhansky, Nurgissa Yessirkegenov

arxiv:1805.01842 v1 · 2018-05-04 · 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{QPIZHTNPRHOZAYGKL4MFQEUP33}

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	2026-05-18T00:16:46.482281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83d193cdaf89dd9060ca5f1858128fdec5a4ed0b96b80cd7a73b4ff120c80714

Aliases

arxiv: 1805.01842 · arxiv_version: 1805.01842v1 · doi: 10.48550/arxiv.1805.01842 · pith_short_12: QPIZHTNPRHOZ · pith_short_16: QPIZHTNPRHOZAYGK · pith_short_8: QPIZHTNP

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/QPIZHTNPRHOZAYGKL4MFQEUP33 \
  | 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: 83d193cdaf89dd9060ca5f1858128fdec5a4ed0b96b80cd7a73b4ff120c80714

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5362953d2fbe36f1ea88d6e012ae8de8419530782fc40850afe890decd959050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-04T16:35:02Z",
    "title_canon_sha256": "499525e6052a5bd59023b817fa743bc8310e3d69e8788f0d3cb73bb0dfab89b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01842",
    "kind": "arxiv",
    "version": 1
  }
}