Pith Number

pith:QGT7VRLS

pith:2017:QGT7VRLSMWKZDAIEUH3VPYB5SP

not attested not anchored not stored refs pending

Boundedness of parameterized Marcinkiewicz integrals with variable kernels on Hardy spaces and weak Hardy spaces

Bo Li

arxiv:1711.09613 v1 · 2017-11-27 · 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{QGT7VRLSMWKZDAIEUH3VPYB5SP}

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	2026-05-18T00:29:35.001016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81a7fac5726595918104a1f757e03d93fd0fe6c423f93c8369904b3ef3da5823

Aliases

arxiv: 1711.09613 · arxiv_version: 1711.09613v1 · doi: 10.48550/arxiv.1711.09613 · pith_short_12: QGT7VRLSMWKZ · pith_short_16: QGT7VRLSMWKZDAIE · pith_short_8: QGT7VRLS

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/QGT7VRLSMWKZDAIEUH3VPYB5SP \
  | 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: 81a7fac5726595918104a1f757e03d93fd0fe6c423f93c8369904b3ef3da5823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9146f10064fd9dbf9173d4e1111f663194e8c2485169593659f539c115b6cbab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-27T10:35:04Z",
    "title_canon_sha256": "ec5da818c284afa68214166df730f7f37e0eb9ecc08a4183bbbf6b09ae52d8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09613",
    "kind": "arxiv",
    "version": 1
  }
}