Pith Number

pith:4WEKBLQJ

pith:2017:4WEKBLQJH57OIH6UZVZFQHVR6F

not attested not anchored not stored refs pending

Weighted Estimates for Rough Bilinear Singular Integrals via Sparse Domination

Alexander Barron

arxiv:1702.04790 v3 · 2017-02-15 · 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{4WEKBLQJH57OIH6UZVZFQHVR6F}

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	2026-05-18T00:42:07.084404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e588a0ae093f7ee41fd4cd72581eb1f151763ed1a09da787236f1c9b5f87d4ae

Aliases

arxiv: 1702.04790 · arxiv_version: 1702.04790v3 · doi: 10.48550/arxiv.1702.04790 · pith_short_12: 4WEKBLQJH57O · pith_short_16: 4WEKBLQJH57OIH6U · pith_short_8: 4WEKBLQJ

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/4WEKBLQJH57OIH6UZVZFQHVR6F \
  | 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: e588a0ae093f7ee41fd4cd72581eb1f151763ed1a09da787236f1c9b5f87d4ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7fb206b3c3e92cb1d78ceffca6eafd18fa3f5fde742159aa26f6137537ce72f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-15T21:45:35Z",
    "title_canon_sha256": "1ba12729125bc93b3e0c07f699b61017fc371834e2905a3d035bc0d4bf0e6b15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04790",
    "kind": "arxiv",
    "version": 3
  }
}