Pith Number

pith:BJSYSYZF

pith:2014:BJSYSYZF3H5QGIQ2YMVAAHOJUW

not attested not anchored not stored refs pending

Weighted multilinear Hardy operators and commutators

Shan Zhen Lu, Shu Li Gong, Wen Yuan, Zun Wei Fu

arxiv:1409.5862 v1 · 2014-09-20 · 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{BJSYSYZF3H5QGIQ2YMVAAHOJUW}

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	2026-05-18T02:42:15.771856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a65896325d9fb03221ac32a001dc9a59f79333550551edb42163e0cd6904151

Aliases

arxiv: 1409.5862 · arxiv_version: 1409.5862v1 · doi: 10.48550/arxiv.1409.5862 · pith_short_12: BJSYSYZF3H5Q · pith_short_16: BJSYSYZF3H5QGIQ2 · pith_short_8: BJSYSYZF

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/BJSYSYZF3H5QGIQ2YMVAAHOJUW \
  | 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: 0a65896325d9fb03221ac32a001dc9a59f79333550551edb42163e0cd6904151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e30fe5413f2eafb556ad7da368cd152f7b7fc9255fb52504fef7987f651b6bae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-09-20T06:37:14Z",
    "title_canon_sha256": "299c8d96312676bc12f9f533f30fe88c40e7b0da409602a1a8b6e7d14426db85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5862",
    "kind": "arxiv",
    "version": 1
  }
}