Pith Number

pith:NSPBHATB

pith:2012:NSPBHATBMCG475P56ZREEGGWNZ

not attested not anchored not stored refs pending

The sharp weighted bound for multilinear maximal functions and Calder\'{o}n-Zygmund operators

Kabe Moen, Kangwei Li, Wenchang Sun

arxiv:1212.1054 v4 · 2012-12-05 · 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{NSPBHATBMCG475P56ZREEGGWNZ}

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	2026-05-18T00:39:16.282513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9e138261608dcff5fdf6624218d66e6f5f6410d484d0a18541068cb6bf523b

Aliases

arxiv: 1212.1054 · arxiv_version: 1212.1054v4 · doi: 10.48550/arxiv.1212.1054 · pith_short_12: NSPBHATBMCG4 · pith_short_16: NSPBHATBMCG475P5 · pith_short_8: NSPBHATB

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/NSPBHATBMCG475P56ZREEGGWNZ \
  | 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: 6c9e138261608dcff5fdf6624218d66e6f5f6410d484d0a18541068cb6bf523b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5bb6fe999d0a26b0f15e8bc43fb724410535805c4c46761a98d29dbc60d4314",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-05T15:35:30Z",
    "title_canon_sha256": "85cd66f848a08e7523074c2bdd12e690e3ebd0677af9646edc3252b01f11dc34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1054",
    "kind": "arxiv",
    "version": 4
  }
}