Pith Number

pith:QFBSUFUK

pith:2011:QFBSUFUKVZ3Q5RE2P5TDPDWFW4

not attested not anchored not stored refs pending

The Polynomial Carleson Operator

Victor Lie

arxiv:1105.4504 v3 · 2011-05-19 · 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{QFBSUFUKVZ3Q5RE2P5TDPDWFW4}

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.

Cited by

1 paper in Pith

The Hilbert transform along the parabola, the polynomial Carleson theorem and oscillatory singular integrals

Receipt and verification

First computed	2026-05-17T23:54:27.479753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81432a168aae770ec49a7f66378ec5b71b515105ab4b93d66ceadc5c50eb50bd

Aliases

arxiv: 1105.4504 · arxiv_version: 1105.4504v3 · doi: 10.48550/arxiv.1105.4504 · pith_short_12: QFBSUFUKVZ3Q · pith_short_16: QFBSUFUKVZ3Q5RE2 · pith_short_8: QFBSUFUK

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/QFBSUFUKVZ3Q5RE2P5TDPDWFW4 \
  | 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: 81432a168aae770ec49a7f66378ec5b71b515105ab4b93d66ceadc5c50eb50bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895300a0c5ed826de57589cebbbe04c7e329de82e25052a53961dc6baa20efb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-19T17:01:31Z",
    "title_canon_sha256": "ac93264cd075a7aed7b0fd8c6282ae733f1e12464c36c6244c85a276acba982f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4504",
    "kind": "arxiv",
    "version": 3
  }
}