Pith Number

pith:F4NVRWGW

pith:2018:F4NVRWGWGXIJ7CB5P4RZG34LDM

not attested not anchored not stored refs pending

On two-weight norm inequalities for positive dyadic operators

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

arxiv:1809.10800 v1 · 2018-09-27 · 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{F4NVRWGWGXIJ7CB5P4RZG34LDM}

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	2026-05-18T00:04:35.031856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1b58d8d635d09f883d7f23936f8b1b1fe0ea62e35012999c15d831b3464915

Aliases

arxiv: 1809.10800 · arxiv_version: 1809.10800v1 · doi: 10.48550/arxiv.1809.10800 · pith_short_12: F4NVRWGWGXIJ · pith_short_16: F4NVRWGWGXIJ7CB5 · pith_short_8: F4NVRWGW

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/F4NVRWGWGXIJ7CB5P4RZG34LDM \
  | 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: 2f1b58d8d635d09f883d7f23936f8b1b1fe0ea62e35012999c15d831b3464915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9015147901afc7678373fec0b4afe281a1a0a17972c8192553a3df0d443d1444",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-27T23:37:58Z",
    "title_canon_sha256": "cc4261a03d876edcacc82bf3513ffba51cf0ba035612c683e3a6b116592fdbed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10800",
    "kind": "arxiv",
    "version": 1
  }
}