Pith Number

pith:6KL3MD2E

pith:2016:6KL3MD2EM7FXYTSUWLZVU6NEXG

not attested not anchored not stored refs pending

Weak Factorizations of the Hardy space $H^1(\mathbb{R}^n)$ in terms of Multilinear Riesz Transforms

Brett D. Wick, Ji Li

arxiv:1603.02699 v2 · 2016-03-08 · 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{6KL3MD2EM7FXYTSUWLZVU6NEXG}

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	2026-05-18T00:44:38.979499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f297b60f4467cb7c4e54b2f35a79a4b9ba65c23a71bec1a6fafc1bc165e688a0

Aliases

arxiv: 1603.02699 · arxiv_version: 1603.02699v2 · doi: 10.48550/arxiv.1603.02699 · pith_short_12: 6KL3MD2EM7FX · pith_short_16: 6KL3MD2EM7FXYTSU · pith_short_8: 6KL3MD2E

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/6KL3MD2EM7FXYTSUWLZVU6NEXG \
  | 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: f297b60f4467cb7c4e54b2f35a79a4b9ba65c23a71bec1a6fafc1bc165e688a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26343df3ef35de572aef0ff5c7752dd5a9d84ecd4994dcd112b7d8451fa89b26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-03-08T21:06:33Z",
    "title_canon_sha256": "b59c8b7eb305244f44314c8b298c02b41e67c709be89cd65313a02fd1de292aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02699",
    "kind": "arxiv",
    "version": 2
  }
}