Pith Number

pith:4NQYBOWQ

pith:2011:4NQYBOWQSR2BO6BYPWQGU4H2LT

not attested not anchored not stored refs pending

On the Boundedness of The Bilinear Hilbert Transform along "non-flat" smooth curves

Victor Lie

arxiv:1110.3517 v2 · 2011-10-16 · 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{4NQYBOWQSR2BO6BYPWQGU4H2LT}

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	2026-05-18T01:23:32.400252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e36180bad094741778387da06a70fa5cd203e2b79e6aab505f46a0681ac0f1ee

Aliases

arxiv: 1110.3517 · arxiv_version: 1110.3517v2 · doi: 10.48550/arxiv.1110.3517 · pith_short_12: 4NQYBOWQSR2B · pith_short_16: 4NQYBOWQSR2BO6BY · pith_short_8: 4NQYBOWQ

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/4NQYBOWQSR2BO6BYPWQGU4H2LT \
  | 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: e36180bad094741778387da06a70fa5cd203e2b79e6aab505f46a0681ac0f1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4aaf49aaaf58c1e01f79f7bbbe022e983a5709ae34787f4c135e2d10fdcd3ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-16T19:11:31Z",
    "title_canon_sha256": "24af4e63ece057842efd2b7e3e816e1986170cd1c5ef95d4f6916869dce58d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3517",
    "kind": "arxiv",
    "version": 2
  }
}