Pith Number

pith:UTKNSBKD

pith:2018:UTKNSBKD467S6TIC4NZQWEOJB4

not attested not anchored not stored refs pending

Compactness of Riesz transform commutator on stratified Lie groups

Ji Li, Peng Chen, Qingyan Wu, Xuan Thinh Duong

arxiv:1806.07153 v1 · 2018-06-19 · 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{UTKNSBKD467S6TIC4NZQWEOJB4}

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	2026-05-18T00:12:51.735332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d4d90543e7bf2f4d02e3730b11c90f0424d796ce1346359ded1774670816e6

Aliases

arxiv: 1806.07153 · arxiv_version: 1806.07153v1 · doi: 10.48550/arxiv.1806.07153 · pith_short_12: UTKNSBKD467S · pith_short_16: UTKNSBKD467S6TIC · pith_short_8: UTKNSBKD

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/UTKNSBKD467S6TIC4NZQWEOJB4 \
  | 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: a4d4d90543e7bf2f4d02e3730b11c90f0424d796ce1346359ded1774670816e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc04d6aa26e106e74ef7023afd047a8dc53ef1740c3c8793b2363a5bcd2c2144",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-06-19T11:03:43Z",
    "title_canon_sha256": "715c4342db8959f88d591a044b0c6a7204fb88dcadb9e319066b322a8f8d965d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.07153",
    "kind": "arxiv",
    "version": 1
  }
}