Pith Number

pith:VOLKQ4GO

pith:2016:VOLKQ4GOPE7KE7U7XVOUNZO4XZ

not attested not anchored not stored refs pending

On the bilinear square Fourier multiplier operators and related multilinear square functions

Kozo Yabuta, Qingying Xue, Zengyan Si

arxiv:1604.05579 v1 · 2016-04-19 · 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{VOLKQ4GOPE7KE7U7XVOUNZO4XZ}

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	2026-05-18T01:16:38.303362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab96a870ce793ea27e9fbd5d46e5dcbe581d0ef8253144aa5b9a16d0e3741bdd

Aliases

arxiv: 1604.05579 · arxiv_version: 1604.05579v1 · doi: 10.48550/arxiv.1604.05579 · pith_short_12: VOLKQ4GOPE7K · pith_short_16: VOLKQ4GOPE7KE7U7 · pith_short_8: VOLKQ4GO

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/VOLKQ4GOPE7KE7U7XVOUNZO4XZ \
  | 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: ab96a870ce793ea27e9fbd5d46e5dcbe581d0ef8253144aa5b9a16d0e3741bdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d00db752c2f1269342d1b7f7bd20e8ac058fb3c3cb86a2fddcbc312fc8144c3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-04-19T14:11:09Z",
    "title_canon_sha256": "e2a9abfcd790794aeaa11b84bff9736f329ab2044b08214f228d1c79fdcda7e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05579",
    "kind": "arxiv",
    "version": 1
  }
}