Pith Number

pith:YFGIYUJS

pith:2024:YFGIYUJSXVYGPVDH7BJSGIG6Z2

not attested not anchored not stored refs pending

Multilinear Commutators of Multilinear Square Operators Associated with New $BMO$ Functions and New Weight Functions

Chunliang Li, Shuhui Yang, Yan Lin

arxiv:2402.15766 v1 · 2024-02-24 · 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{YFGIYUJSXVYGPVDH7BJSGIG6Z2}

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	2026-07-05T07:48:57.703466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c14c8c5132bd7067d467f8532320dece96241a633c12aaf6d97cc1f3b0aba6a9

Aliases

arxiv: 2402.15766 · arxiv_version: 2402.15766v1 · doi: 10.48550/arxiv.2402.15766 · pith_short_12: YFGIYUJSXVYG · pith_short_16: YFGIYUJSXVYGPVDH · pith_short_8: YFGIYUJS

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/YFGIYUJSXVYGPVDH7BJSGIG6Z2 \
  | 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: c14c8c5132bd7067d467f8532320dece96241a633c12aaf6d97cc1f3b0aba6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292ad5c1a810446bfd17a435e087eaf8e3b570378a0b32eecf4d17d79f58a9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-02-24T08:47:26Z",
    "title_canon_sha256": "c3d0d30d376d02e63b4fd7644004ccacee0b0828ca11480278b6a41a77f0bd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.15766",
    "kind": "arxiv",
    "version": 1
  }
}