Pith Number

pith:6TR6HCSV

pith:2025:6TR6HCSVLTN3FH77ZL7EOXM7FR

not attested not anchored not stored refs pending

Almost everywhere convergence of Bochner-Riesz means for the Hermite type Laguerre expansions

Longben Wei, Zhiwen Duan

arxiv:2506.16958 v1 · 2025-06-20 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TR6HCSVLTN3FH77ZL7EOXM7FR}

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	2026-07-05T11:24:46.025798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e3e38a555cdbb29fffcafe475d9f2c4a293cb8ee0e8d4e38c914e971eab68a

Aliases

arxiv: 2506.16958 · arxiv_version: 2506.16958v1 · doi: 10.48550/arxiv.2506.16958 · pith_short_12: 6TR6HCSVLTN3 · pith_short_16: 6TR6HCSVLTN3FH77 · pith_short_8: 6TR6HCSV

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/6TR6HCSVLTN3FH77ZL7EOXM7FR \
  | 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: f4e3e38a555cdbb29fffcafe475d9f2c4a293cb8ee0e8d4e38c914e971eab68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "523b68235116379bb7d987f2cebf60de197588e9c655e3149f6ff15102ff65a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-20T12:45:21Z",
    "title_canon_sha256": "675e3bafad4ca54d7bcafa2c21384a53c1562649d9a87cb958e32d71d9da106b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16958",
    "kind": "arxiv",
    "version": 1
  }
}