Pith Number

pith:DURKVG6L

pith:2017:DURKVG6LKPYSCAFPSQ6J2DJTOK

not attested not anchored not stored refs pending

On the norm of the operator $aI+bH$ on $L^p(\mathbb R)$

Kai Zhu, Loukas Grafakos, Yong Ding

arxiv:1702.04848 v2 · 2017-02-16 · 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{DURKVG6LKPYSCAFPSQ6J2DJTOK}

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	2026-05-18T00:21:28.836818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d22aa9bcb53f12100af943c9d0d3372bf8a1164698e89abe13034162314f2bc

Aliases

arxiv: 1702.04848 · arxiv_version: 1702.04848v2 · doi: 10.48550/arxiv.1702.04848 · pith_short_12: DURKVG6LKPYS · pith_short_16: DURKVG6LKPYSCAFP · pith_short_8: DURKVG6L

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/DURKVG6LKPYSCAFPSQ6J2DJTOK \
  | 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: 1d22aa9bcb53f12100af943c9d0d3372bf8a1164698e89abe13034162314f2bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0460b477e429b5cbb999379f46217809b93c4f36842d211643d20a7be9bb1088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-16T03:37:33Z",
    "title_canon_sha256": "42f8128748a66372b8000ec34bf442f39be18ddcb39d85d113fd61bf75c0bc98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04848",
    "kind": "arxiv",
    "version": 2
  }
}