Pith Number

pith:7AKKFLBT

pith:2018:7AKKFLBTWANTLFNEIC3XPHFEQC

not attested not anchored not stored refs pending

Maximal operators associated with bilinear multipliers of limited decay

Danqing He, Loukas Grafakos, Petr Honz\'ik

arxiv:1804.08537 v2 · 2018-04-23 · 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{7AKKFLBTWANTLFNEIC3XPHFEQC}

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	2026-05-18T00:17:26.805730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f814a2ac33b01b3595a440b7779ca480845e6272f7d2ef67290aa6f10e5ddda4

Aliases

arxiv: 1804.08537 · arxiv_version: 1804.08537v2 · doi: 10.48550/arxiv.1804.08537 · pith_short_12: 7AKKFLBTWANT · pith_short_16: 7AKKFLBTWANTLFNE · pith_short_8: 7AKKFLBT

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/7AKKFLBTWANTLFNEIC3XPHFEQC \
  | 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: f814a2ac33b01b3595a440b7779ca480845e6272f7d2ef67290aa6f10e5ddda4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb29cdf64375d9240bac90df11cf95d8b6b15765196fbc3fb1dd19c407c4624f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-04-23T16:23:00Z",
    "title_canon_sha256": "a431343afe3cb817ac491f1e448577f68520209a2be852f8a31097805993ceaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08537",
    "kind": "arxiv",
    "version": 2
  }
}