Pith Number

pith:OOL7WAZJ

pith:2017:OOL7WAZJQLQY2ANT7AEAJTONPB

not attested not anchored not stored refs pending

The Marcinkiewicz multiplier theorem revisited

Lenka Slav\'ikov\'a, Loukas Grafakos

arxiv:1706.07201 v1 · 2017-06-22 · 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{OOL7WAZJQLQY2ANT7AEAJTONPB}

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	2026-05-18T00:41:52.353888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7397fb032982e18d01b3f80804cdcd784c4ffe53abe82328c412d24a1c107460

Aliases

arxiv: 1706.07201 · arxiv_version: 1706.07201v1 · doi: 10.48550/arxiv.1706.07201 · pith_short_12: OOL7WAZJQLQY · pith_short_16: OOL7WAZJQLQY2ANT · pith_short_8: OOL7WAZJ

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/OOL7WAZJQLQY2ANT7AEAJTONPB \
  | 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: 7397fb032982e18d01b3f80804cdcd784c4ffe53abe82328c412d24a1c107460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64b9a41e4b2718907c53bb86dff9ad37981559f93305072cb23d82107db30c77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-22T08:06:54Z",
    "title_canon_sha256": "56c6403eaf4a01be9d8ced2940b3e6f29460b3a120869346a7d39b6a87bd1708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07201",
    "kind": "arxiv",
    "version": 1
  }
}