pith. sign in
Pith Number

pith:RJAKUTUA

pith:2018:RJAKUTUATY5B6TOIH7UG3N7UF2
not attested not anchored not stored refs pending

Weak-type endpoint bounds for Bochner-Riesz means for the Hermite operator

Ji Li, Lesley A. Ward, Lixin Yan, Peng Chen

arxiv:1807.00960 v2 · 2018-07-03 · math.CA · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RJAKUTUATY5B6TOIH7UG3N7UF2}

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 2026-05-18T00:06:55.795249Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8a40aa4e809e3a1f4dc83fe86db7f42eada0683f80e2df9ddd9d162a9cce5c8d

Aliases

arxiv: 1807.00960 · arxiv_version: 1807.00960v2 · doi: 10.48550/arxiv.1807.00960 · pith_short_12: RJAKUTUATY5B · pith_short_16: RJAKUTUATY5B6TOI · pith_short_8: RJAKUTUA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RJAKUTUATY5B6TOIH7UG3N7UF2 \
  | 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: 8a40aa4e809e3a1f4dc83fe86db7f42eada0683f80e2df9ddd9d162a9cce5c8d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a437c1d51e3f1f1081d9e59bfb84869b3662328a69d7eb345555d20bcb570ce3",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-03T03:13:31Z",
    "title_canon_sha256": "389a9088e9c66a612308ea40078b77122754a149d154d937f16cd9c38bdedd7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00960",
    "kind": "arxiv",
    "version": 2
  }
}