Pith Number

pith:RZ3U33E5

pith:2017:RZ3U33E5AWU3OY53MAFV7JL6RZ

not attested not anchored not stored refs pending

Maximal polynomial modulations of singular integrals

Pavel Zorin-Kranich

arxiv:1711.03524 v6 · 2017-11-09 · 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{RZ3U33E5AWU3OY53MAFV7JL6RZ}

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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	2026-07-05T03:44:48.299937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e774dec9d05a9b763bb600b5fa57e8e78de9b47543293770c85cb8edce3c223

Aliases

arxiv: 1711.03524 · arxiv_version: 1711.03524v6 · doi: 10.48550/arxiv.1711.03524 · pith_short_12: RZ3U33E5AWU3 · pith_short_16: RZ3U33E5AWU3OY53 · pith_short_8: RZ3U33E5

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/RZ3U33E5AWU3OY53MAFV7JL6RZ \
  | 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: 8e774dec9d05a9b763bb600b5fa57e8e78de9b47543293770c85cb8edce3c223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d1146ce1665f0b9bd46f1acf9af2937fd8899f69e196e7a9afc870479418922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-11-09T18:52:39Z",
    "title_canon_sha256": "532983a3348e6a150174c44eebd1be4ae7ba0b896dcd4572efcb4e89b378cdb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03524",
    "kind": "arxiv",
    "version": 6
  }
}