Pith Number

pith:B4CBCDFW

pith:2010:B4CBCDFW3BROSVRPNCWEQQSRL5

not attested not anchored not stored refs pending

Weighted inequalities for multivariable dyadic paraproducs

Daewon Chung

arxiv:1001.1461 v2 · 2010-01-09 · math.FA · 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{B4CBCDFW3BROSVRPNCWEQQSRL5}

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	2026-05-18T04:35:05.130329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f04110cb6d862e9562f68ac4842515f54125c156124a72515dff20f361ca7c3

Aliases

arxiv: 1001.1461 · arxiv_version: 1001.1461v2 · doi: 10.48550/arxiv.1001.1461 · pith_short_12: B4CBCDFW3BRO · pith_short_16: B4CBCDFW3BROSVRP · pith_short_8: B4CBCDFW

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/B4CBCDFW3BROSVRPNCWEQQSRL5 \
  | 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: 0f04110cb6d862e9562f68ac4842515f54125c156124a72515dff20f361ca7c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17715e4edd479cd36ecbb63de09fb1febb1360c185917af4a68cfa9fd2b88767",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-09T23:50:12Z",
    "title_canon_sha256": "57df6b697c0c86a004175d1f90c189b9274c73364be57eb6b54bb52f48b0c6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1461",
    "kind": "arxiv",
    "version": 2
  }
}