Pith Number

pith:6BHQUA32

pith:2018:6BHQUA326F7YHRMD2KK3ZL4JBD

not attested not anchored not stored refs pending

$L^2\times L^2 \to L^1$ boundedness criteria

Danqing He, Lenka Slav\'ikov\'a, Loukas Grafakos

arxiv:1802.09400 v1 · 2018-02-26 · 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{6BHQUA326F7YHRMD2KK3ZL4JBD}

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	2026-05-18T00:22:33.787525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f04f0a037af17f83c583d295bcaf8908c238e98e0ea669080dccb198c455b969

Aliases

arxiv: 1802.09400 · arxiv_version: 1802.09400v1 · doi: 10.48550/arxiv.1802.09400 · pith_short_12: 6BHQUA326F7Y · pith_short_16: 6BHQUA326F7YHRMD · pith_short_8: 6BHQUA32

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/6BHQUA326F7YHRMD2KK3ZL4JBD \
  | 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: f04f0a037af17f83c583d295bcaf8908c238e98e0ea669080dccb198c455b969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c62faeeddcb66e31d8a9aee9312be0d26e209f34311d3a575b113068e8c5eef5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-02-26T15:28:19Z",
    "title_canon_sha256": "3cafca1c444cf537e55ca97d27256ee9a6082cb6540d86cda7c8c54a14778998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09400",
    "kind": "arxiv",
    "version": 1
  }
}