Pith Number

pith:KI6TYIDN

pith:2018:KI6TYIDNNDSUL3MUUYJBCWXRVS

not attested not anchored not stored refs pending

Lower bound of Riesz transform kernels and Commutator Theorems on stratified nilpotent Lie groups

Brett D. Wick, Hong-Quan Li, Ji Li, Xuan Thinh Duong

arxiv:1803.01153 v1 · 2018-03-03 · 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{KI6TYIDNNDSUL3MUUYJBCWXRVS}

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	2026-05-18T00:22:01.625247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

523d3c206d68e545ed94a612115af1ac8b8105ff661d6fdb0096e7add8721da6

Aliases

arxiv: 1803.01153 · arxiv_version: 1803.01153v1 · doi: 10.48550/arxiv.1803.01153 · pith_short_12: KI6TYIDNNDSU · pith_short_16: KI6TYIDNNDSUL3MU · pith_short_8: KI6TYIDN

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/KI6TYIDNNDSUL3MUUYJBCWXRVS \
  | 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: 523d3c206d68e545ed94a612115af1ac8b8105ff661d6fdb0096e7add8721da6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adb03a6385da343998076acc169f1da04414f9312c6776036315e97458fd7291",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-03T12:46:05Z",
    "title_canon_sha256": "ad9e84fb90240bfc53fc2aad4e6e4b55fa8a2e691ad05d8bdf8c50995a55a72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01153",
    "kind": "arxiv",
    "version": 1
  }
}