Pith Number

pith:GE7FDF6C

pith:2014:GE7FDF6CT236GNMMQYMD2FBRV5

not attested not anchored not stored refs pending

The Kakeya maximal operator on the variable Lebesgue spaces

Hiroki Saito, Hitoshi Tanaka

arxiv:1404.2690 v1 · 2014-04-10 · 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{GE7FDF6CT236GNMMQYMD2FBRV5}

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	2026-05-18T02:54:29.780915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313e5197c29eb7e3358c86183d1431af568072a433d5899b4e97e7909048ee83

Aliases

arxiv: 1404.2690 · arxiv_version: 1404.2690v1 · doi: 10.48550/arxiv.1404.2690 · pith_short_12: GE7FDF6CT236 · pith_short_16: GE7FDF6CT236GNMM · pith_short_8: GE7FDF6C

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/GE7FDF6CT236GNMMQYMD2FBRV5 \
  | 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: 313e5197c29eb7e3358c86183d1431af568072a433d5899b4e97e7909048ee83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b46e61800c48531b6262408797a117ba97d32c6be0b37beab9a72765ca1dc40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-04-10T04:33:40Z",
    "title_canon_sha256": "18b2d63dbb73902b273828bcda9a0d9dbd7241b4c95cb74efe598bc626741eda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2690",
    "kind": "arxiv",
    "version": 1
  }
}