Pith Number

pith:WAK34RO3

pith:2014:WAK34RO3QZXKYJNY4JM6JHV6UB

not attested not anchored not stored refs pending

$L^{p}$ estimates for bilinear and multi-parameter Hilbert transforms

Guozhen Lu, Wei Dai

arxiv:1403.0624 v1 · 2014-03-03 · 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{WAK34RO3QZXKYJNY4JM6JHV6UB}

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	2026-05-18T01:22:24.303461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b015be45db866eac25b8e259e49ebea06f2691abe3e5c70f9ad42c3b964017de

Aliases

arxiv: 1403.0624 · arxiv_version: 1403.0624v1 · doi: 10.48550/arxiv.1403.0624 · pith_short_12: WAK34RO3QZXK · pith_short_16: WAK34RO3QZXKYJNY · pith_short_8: WAK34RO3

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/WAK34RO3QZXKYJNY4JM6JHV6UB \
  | 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: b015be45db866eac25b8e259e49ebea06f2691abe3e5c70f9ad42c3b964017de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58541cd6781bae75d4281cc496a6a20693012a092a936c9007cc2d558649b8e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-03-03T22:44:57Z",
    "title_canon_sha256": "0522cb3c6cd0c1cf70b85fbf219fc41022ca15a47ba2c8e629649bb99af052df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0624",
    "kind": "arxiv",
    "version": 1
  }
}