Pith Number

pith:D34DLXVB

pith:2019:D34DLXVB5IMQDGJRTY4B6B5W3W

not attested not anchored not stored refs pending

Averages along the Square Integers: $\ell^p$ improving and Sparse Inequalities

Fan Yang, Michael T Lacey, Rui Han

arxiv:1907.05734 v2 · 2019-07-12 · 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{D34DLXVB5IMQDGJRTY4B6B5W3W}

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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

Sharp $\ell^p$-Improving Estimates for Fixed-Radius Discrete Spherical Averages

Receipt and verification

First computed	2026-07-05T02:41:00.162080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef835dea1ea190199319e381f07b6dd8a4f3ba4552be906678c04bab7289761

Aliases

arxiv: 1907.05734 · arxiv_version: 1907.05734v2 · doi: 10.48550/arxiv.1907.05734 · pith_short_12: D34DLXVB5IMQ · pith_short_16: D34DLXVB5IMQDGJR · pith_short_8: D34DLXVB

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/D34DLXVB5IMQDGJRTY4B6B5W3W \
  | 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: 1ef835dea1ea190199319e381f07b6dd8a4f3ba4552be906678c04bab7289761

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35312ba07eca77a4ff97863450170e41bbc03fe58e3b37cc9b3fcbb14320abb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-12T13:22:17Z",
    "title_canon_sha256": "9513b30687f9c379aaf9c1295bd5d672423d31db4d1053e0957ebce68d83cef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05734",
    "kind": "arxiv",
    "version": 2
  }
}