Pith Number

pith:77FBAR7Y

pith:2015:77FBAR7Y644JDYVRGCODX44RTY

not attested not anchored not stored refs pending

Weighted bounds for multilinear operators with non-smooth kernels

Jose M. Conde-Alonso, Mahdi Hormozi, The Anh Bui, Xuan Thinh Duong

arxiv:1506.07752 v1 · 2015-06-25 · 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{77FBAR7Y644JDYVRGCODX44RTY}

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	2026-05-18T01:38:50.901388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffca1047f8f73891e2b1309c3bf3919e23f945dd4c8142ccf3e4081eef2fbf22

Aliases

arxiv: 1506.07752 · arxiv_version: 1506.07752v1 · doi: 10.48550/arxiv.1506.07752 · pith_short_12: 77FBAR7Y644J · pith_short_16: 77FBAR7Y644JDYVR · pith_short_8: 77FBAR7Y

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/77FBAR7Y644JDYVRGCODX44RTY \
  | 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: ffca1047f8f73891e2b1309c3bf3919e23f945dd4c8142ccf3e4081eef2fbf22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acfaab1dbad0ad00fd44d7ad2a0aee3bbd56adaecb510b13f53d477897f0be4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-25T13:53:22Z",
    "title_canon_sha256": "df529588922fdcd271ce027a284bf87a3bfd81f16f11440dfe805ca1be2a943a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07752",
    "kind": "arxiv",
    "version": 1
  }
}