Pith Number

pith:JITTK472

pith:2012:JITTK472S5VFILNU3WZCRTNQ4O

not attested not anchored not stored refs pending

Weak and Strong Type Weighted Estimates for Multilinear Calder\'{o}n-Zygmund Operators

Kangwei Li, Wenchang Sun

arxiv:1212.4011 v2 · 2012-12-17 · 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{JITTK472S5VFILNU3WZCRTNQ4O}

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	2026-05-18T00:39:16.274556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a273573fa976a542db4ddb228cdb0e3b26100e628eba67dce601b5a00cabb6d

Aliases

arxiv: 1212.4011 · arxiv_version: 1212.4011v2 · doi: 10.48550/arxiv.1212.4011 · pith_short_12: JITTK472S5VF · pith_short_16: JITTK472S5VFILNU · pith_short_8: JITTK472

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/JITTK472S5VFILNU3WZCRTNQ4O \
  | 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: 4a273573fa976a542db4ddb228cdb0e3b26100e628eba67dce601b5a00cabb6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecec990035e0183215199e43a9fee58cf6c51e23fb9b5de03bd43615e03aca64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-17T14:47:32Z",
    "title_canon_sha256": "97241c45fd6f81768b8fd724e29855be950ba0135b285e1c268a6ad59857ed08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4011",
    "kind": "arxiv",
    "version": 2
  }
}