Pith Number

pith:J75HU334

pith:2018:J75HU334WSHFQ4FKCBJ54M5SFJ

not attested not anchored not stored refs pending

Sparse Bounds for the Discrete Spherical Maximal Function

Dar\'io Mena, Michael T. Lacey, Robert Kesler

arxiv:1810.02240 v6 · 2018-10-04 · math.CA · math.NT

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\usepackage{pith}
\pithnumber{J75HU334WSHFQ4FKCBJ54M5SFJ}

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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	2026-07-05T00:18:31.267725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffa7a6f7cb48e5870aa1053de33b22a63bd13788cb0bf155ae116c6d038889a

Aliases

arxiv: 1810.02240 · arxiv_version: 1810.02240v6 · doi: 10.48550/arxiv.1810.02240 · pith_short_12: J75HU334WSHF · pith_short_16: J75HU334WSHFQ4FK · pith_short_8: J75HU334

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/J75HU334WSHFQ4FKCBJ54M5SFJ \
  | 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: 4ffa7a6f7cb48e5870aa1053de33b22a63bd13788cb0bf155ae116c6d038889a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1a6041e78915d78b53c4275d6bc7b34619a741987f46da99c6ff41f1c3f3a8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-04T14:27:02Z",
    "title_canon_sha256": "a29a31151163fbf513add76d9f7cf06fe18e985ac03bb207e431ed1aa79844ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02240",
    "kind": "arxiv",
    "version": 6
  }
}