Pith Number

pith:5LJQXWHX

pith:2015:5LJQXWHXTSERAE5KACTW7YAH3D

not attested not anchored not stored refs pending

On the square function associated with generalized Bochner-Riesz means

Laura Cladek

arxiv:1510.05199 v2 · 2015-10-18 · 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{5LJQXWHXTSERAE5KACTW7YAH3D}

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	2026-05-18T01:29:40.093718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ead30bd8f79c891013aa00a76fe007d8c6c24f8240ff4e884a3f8b2ed9bd6e4e

Aliases

arxiv: 1510.05199 · arxiv_version: 1510.05199v2 · doi: 10.48550/arxiv.1510.05199 · pith_short_12: 5LJQXWHXTSER · pith_short_16: 5LJQXWHXTSERAE5K · pith_short_8: 5LJQXWHX

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/5LJQXWHXTSERAE5KACTW7YAH3D \
  | 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: ead30bd8f79c891013aa00a76fe007d8c6c24f8240ff4e884a3f8b2ed9bd6e4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2988cd31f24374d65855b89a842fff83843c8f9ba5e687da0c1e449826844ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-18T05:14:15Z",
    "title_canon_sha256": "ac09f2c092aeded153676bf025142e9a6b3a2af910eec5d6a7c18323b4458a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05199",
    "kind": "arxiv",
    "version": 2
  }
}