Pith Number

pith:7OCBPDVA

pith:2016:7OCBPDVALRX2Y6MOI35T3EWVJM

not attested not anchored not stored refs pending

Product BMO, little BMO and Riesz Commutators in the Bessel setting

Brett D. Wick, Dongyong Yang, Ji Li, Xuan Thinh Duong, Yumeng Ou

arxiv:1609.01368 v2 · 2016-09-06 · 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{7OCBPDVALRX2Y6MOI35T3EWVJM}

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	2026-05-18T00:35:46.732017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb84178ea05c6fac798e46fb3d92d54b18a847ab43aa605cb6c639b494da0a5d

Aliases

arxiv: 1609.01368 · arxiv_version: 1609.01368v2 · doi: 10.48550/arxiv.1609.01368 · pith_short_12: 7OCBPDVALRX2 · pith_short_16: 7OCBPDVALRX2Y6MO · pith_short_8: 7OCBPDVA

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/7OCBPDVALRX2Y6MOI35T3EWVJM \
  | 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: fb84178ea05c6fac798e46fb3d92d54b18a847ab43aa605cb6c639b494da0a5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c1a66ef5aabe22c6043dd3dce7162325bf325d5907320d5105a50b010fc41f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-09-06T01:51:42Z",
    "title_canon_sha256": "ebc471bdce91a2bff77575b5f13942003c5b72237d4fad19c1e7f6b780b87df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01368",
    "kind": "arxiv",
    "version": 2
  }
}