Pith Number

pith:DE5VFOEG

pith:2018:DE5VFOEGOC2HUKE5NTND7VUBDU

not attested not anchored not stored refs pending

Estimates for Parametric Marcinkiewicz Integrals on Musielak-Orlicz Hardy Spaces

Baode Li, Bo Li, Xiaoli Qiu, Xiong Liu

arxiv:1807.08921 v1 · 2018-07-24 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DE5VFOEGOC2HUKE5NTND7VUBDU}

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	2026-05-18T00:09:57.407456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193b52b88670b47a289d6cda3fd6811d3823c57a88996540086b6ade5c352196

Aliases

arxiv: 1807.08921 · arxiv_version: 1807.08921v1 · doi: 10.48550/arxiv.1807.08921 · pith_short_12: DE5VFOEGOC2H · pith_short_16: DE5VFOEGOC2HUKE5 · pith_short_8: DE5VFOEG

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/DE5VFOEGOC2HUKE5NTND7VUBDU \
  | 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: 193b52b88670b47a289d6cda3fd6811d3823c57a88996540086b6ade5c352196

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aea08b07fa77700fa2d40a6abc1233a76f30669591fc291b3c9a34e047f3f0bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-24T06:13:46Z",
    "title_canon_sha256": "4641e95328c90544bb1e84cbfcc6b30cab2635eb0976011d8a79857d7d03fcce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08921",
    "kind": "arxiv",
    "version": 1
  }
}