Pith Number

pith:EECR4HL7

pith:2017:EECR4HL72I7USNG2IGQAFUYLT6

not attested not anchored not stored refs pending

Two-weight $L^p\to L^q$ bounds for positive dyadic operators in the case $0<q< 1 \le p<\infty$

Igor E. Verbitsky, Timo S. H\"anninen

arxiv:1706.08657 v1 · 2017-06-27 · 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{EECR4HL72I7USNG2IGQAFUYLT6}

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	2026-05-18T00:41:31.445930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21051e1d7fd23f4934da41a002d30b9fa67aac014c1cd478be2de99cd1e69e0f

Aliases

arxiv: 1706.08657 · arxiv_version: 1706.08657v1 · doi: 10.48550/arxiv.1706.08657 · pith_short_12: EECR4HL72I7U · pith_short_16: EECR4HL72I7USNG2 · pith_short_8: EECR4HL7

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/EECR4HL72I7USNG2IGQAFUYLT6 \
  | 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: 21051e1d7fd23f4934da41a002d30b9fa67aac014c1cd478be2de99cd1e69e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6e1f00c5b70ebc88de70b2dee357656183d9aa370e8105f67e5bbe47947f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-27T03:18:55Z",
    "title_canon_sha256": "c6b0ccf457a5788e3d87782b5fcbfd1b3605948128810fb73f7bf2d8defe0a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08657",
    "kind": "arxiv",
    "version": 1
  }
}