Pith Number

pith:RQOTKPZJ

pith:2018:RQOTKPZJQ56OSQ7WVIUEDHPK74

not attested not anchored not stored refs pending

Quantitative weighted estimates for the Littlewood-Paley square function and Marcinkiewicz multipliers

Andrei K. Lerner

arxiv:1803.06981 v1 · 2018-03-19 · 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{RQOTKPZJQ56OSQ7WVIUEDHPK74}

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	2026-05-18T00:20:40.649392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c1d353f29877ce943f6aa28419deaff2982c7b9c0bd0700e6000a4c233d7dfb

Aliases

arxiv: 1803.06981 · arxiv_version: 1803.06981v1 · doi: 10.48550/arxiv.1803.06981 · pith_short_12: RQOTKPZJQ56O · pith_short_16: RQOTKPZJQ56OSQ7W · pith_short_8: RQOTKPZJ

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/RQOTKPZJQ56OSQ7WVIUEDHPK74 \
  | 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: 8c1d353f29877ce943f6aa28419deaff2982c7b9c0bd0700e6000a4c233d7dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b776c2d9ae85e2cbf6e43f17aaf15fb7334ed7f7af62133213e7d080b61a6e40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-19T15:15:58Z",
    "title_canon_sha256": "640fdaaa228cb23ccc2fb64752b48c2d5321e8fd8dfeec183a40a050e3f62bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.06981",
    "kind": "arxiv",
    "version": 1
  }
}