Pith Number

pith:CD7W53NP

pith:2016:CD7W53NPO4Z37AA3RH6U5KYRUY

not attested not anchored not stored refs pending

The Fefferman-Stein type inequalities for strong and directional maximal operators in the plane

Hiroki Saito, Hitoshi Tanaka

arxiv:1610.03186 v1 · 2016-10-11 · 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{CD7W53NPO4Z37AA3RH6U5KYRUY}

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	2026-05-18T01:02:46.302393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10ff6eedaf7733bf801b89fd4eab11a60b104f28d946f789f7c0f51ed6ae00b8

Aliases

arxiv: 1610.03186 · arxiv_version: 1610.03186v1 · doi: 10.48550/arxiv.1610.03186 · pith_short_12: CD7W53NPO4Z3 · pith_short_16: CD7W53NPO4Z37AA3 · pith_short_8: CD7W53NP

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/CD7W53NPO4Z37AA3RH6U5KYRUY \
  | 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: 10ff6eedaf7733bf801b89fd4eab11a60b104f28d946f789f7c0f51ed6ae00b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f48f941a08af80431ff8259507edc9602a3ad3de6c3449e6392870ef361d4f32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-10-11T04:54:28Z",
    "title_canon_sha256": "f029fe2b95461be3b6c99ef01f6d00fcc8d23d4314e59be81ef709674ad27ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03186",
    "kind": "arxiv",
    "version": 1
  }
}