Pith Number

pith:OL7ANL5K

pith:2017:OL7ANL5KU4HAHQ56N3JLML5WJQ

not attested not anchored not stored refs pending

Dimension-free $L^p$ estimates for vectors of Riesz transforms associated with orthogonal expansions

B{\l}a\.zej Wr\'obel

arxiv:1701.01889 v2 · 2017-01-07 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL7ANL5KU4HAHQ56N3JLML5WJQ}

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	2026-05-18T00:20:56.809560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fe06afaaa70e03c3be6ed2b62fb64c1ec06aa4ab066d1bbda72c4566b2539e

Aliases

arxiv: 1701.01889 · arxiv_version: 1701.01889v2 · doi: 10.48550/arxiv.1701.01889 · pith_short_12: OL7ANL5KU4HA · pith_short_16: OL7ANL5KU4HAHQ56 · pith_short_8: OL7ANL5K

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/OL7ANL5KU4HAHQ56N3JLML5WJQ \
  | 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: 72fe06afaaa70e03c3be6ed2b62fb64c1ec06aa4ab066d1bbda72c4566b2539e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209a828d9a6180ce291f25bef72623492b26deb03e6e49672bcd86c198b2563b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-07T22:01:52Z",
    "title_canon_sha256": "7c71985415831693b08ca6111d440c63de11e402921066aecec18062b2d968c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01889",
    "kind": "arxiv",
    "version": 2
  }
}