Pith Number

pith:IPTRSAWO

pith:2016:IPTRSAWON7GXKWULRPNIODRWVM

not attested not anchored not stored refs pending

Sparse bilinear forms for Bochner Riesz multipliers and applications

Cristina Benea (LMJL), Frederic Bernicot (LMJL), Teresa Luque (LMJL)

arxiv:1605.06401 v1 · 2016-05-20 · 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{IPTRSAWON7GXKWULRPNIODRWVM}

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	2026-05-18T00:45:06.566454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e71902ce6fcd755a8b8bda870e36ab2fdd6e035b954753912b39e95c759a47

Aliases

arxiv: 1605.06401 · arxiv_version: 1605.06401v1 · doi: 10.48550/arxiv.1605.06401 · pith_short_12: IPTRSAWON7GX · pith_short_16: IPTRSAWON7GXKWUL · pith_short_8: IPTRSAWO

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/IPTRSAWON7GXKWULRPNIODRWVM \
  | 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: 43e71902ce6fcd755a8b8bda870e36ab2fdd6e035b954753912b39e95c759a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7886118a1ee22de609bd4d9b2076225ace118cac260487e8e3c52d52a3c1f0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-05-20T15:22:09Z",
    "title_canon_sha256": "e42ffe82cfac663a5897348f3c3820dcef5ae22c34e82f441d11156977582461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06401",
    "kind": "arxiv",
    "version": 1
  }
}