Pith Number

pith:U4XOJHRU

pith:2019:U4XOJHRUBAS4G5BU7RT2IX4BQY

not attested not anchored not stored refs pending

Sharp $A_1$ weighted estimates for vector valued operators

Israel P. Rivera-R\'ios, Joshua Isralowitz, Sandra Pott

arxiv:1905.13684 v1 · 2019-05-31 · 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{U4XOJHRUBAS4G5BU7RT2IX4BQY}

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	2026-05-17T23:44:34.237946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72ee49e340825c37434fc67a45f81860399fc8341f7c0da34928b51547c9441

Aliases

arxiv: 1905.13684 · arxiv_version: 1905.13684v1 · doi: 10.48550/arxiv.1905.13684 · pith_short_12: U4XOJHRUBAS4 · pith_short_16: U4XOJHRUBAS4G5BU · pith_short_8: U4XOJHRU

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/U4XOJHRUBAS4G5BU7RT2IX4BQY \
  | 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: a72ee49e340825c37434fc67a45f81860399fc8341f7c0da34928b51547c9441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e22992b964f7af66f1aac0fdd03cfb70c2216e2a8eb9f153b2489d5f314c65e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-31T15:47:52Z",
    "title_canon_sha256": "25548ad30861854a19b49a4fba52bf5afb31bdc6e7700ba02fd062ba8ce64435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13684",
    "kind": "arxiv",
    "version": 1
  }
}