Pith Number

pith:GIKIGSU3

pith:2017:GIKIGSU32NAB7Y3Y6LOGGRFF7D

not attested not anchored not stored refs pending

The boundedness of multilinear Calder\'on-Zygmund operators on weighted and variable Hardy spaces

David Cruz-Uribe, Hanh Van Nguyen, Kabe Moen

arxiv:1708.07195 v1 · 2017-08-23 · math.CA · 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{GIKIGSU32NAB7Y3Y6LOGGRFF7D}

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	2026-05-18T00:36:46.946402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3214834a9bd3401fe378f2dc6344a5f8d31207f51e76b12cd232f92ae582718a

Aliases

arxiv: 1708.07195 · arxiv_version: 1708.07195v1 · doi: 10.48550/arxiv.1708.07195 · pith_short_12: GIKIGSU32NAB · pith_short_16: GIKIGSU32NAB7Y3Y · pith_short_8: GIKIGSU3

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/GIKIGSU32NAB7Y3Y6LOGGRFF7D \
  | 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: 3214834a9bd3401fe378f2dc6344a5f8d31207f51e76b12cd232f92ae582718a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2a63be240b272de67bc22d1acee9ca263fa4f9d613e076b36b82833159b4a69",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-08-23T21:34:22Z",
    "title_canon_sha256": "b7597c07ae8d98e9aa4177567efa487d4d1aa306b4a57cf2d5d00f9e7ccb134f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.07195",
    "kind": "arxiv",
    "version": 1
  }
}