Pith Number

pith:AHMJ4ONT

pith:2024:AHMJ4ONTYBQLZVEVHKTU6YXS7T

not attested not anchored not stored refs pending

Marcinkiewicz integrals associated with Schr\"{o}dinger operator on Campanato type spaces

Jiali Yu, Qingying Xue

arxiv:2402.01433 v1 · 2024-02-02 · 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{AHMJ4ONTYBQLZVEVHKTU6YXS7T}

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	2026-07-05T07:40:44.080104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01d89e39b3c060bcd4953aa74f62f2fcdaf4c29883f652293a7f568429e13db5

Aliases

arxiv: 2402.01433 · arxiv_version: 2402.01433v1 · doi: 10.48550/arxiv.2402.01433 · pith_short_12: AHMJ4ONTYBQL · pith_short_16: AHMJ4ONTYBQLZVEV · pith_short_8: AHMJ4ONT

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/AHMJ4ONTYBQLZVEVHKTU6YXS7T \
  | 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: 01d89e39b3c060bcd4953aa74f62f2fcdaf4c29883f652293a7f568429e13db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4471355c102f935a0fa5d97f85245b3f468f585116502a664aef327e3596cc6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-02-02T14:24:32Z",
    "title_canon_sha256": "ffb6b0b6ec06af3ff96e97fa682660e0a716528354b2e565efd20ba086002931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.01433",
    "kind": "arxiv",
    "version": 1
  }
}