Pith Number

pith:XKWBKGWN

pith:2017:XKWBKGWNBPQG3YGF3FLVC26MXP

not attested not anchored not stored refs pending

Norm of the Hausdorff operator on the real Hardy space $H^1(\mathbb R)$

Ha Duy Hung, Luong Dang Ky, Thai Thuan Quang

arxiv:1702.03486 v1 · 2017-02-12 · 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{XKWBKGWNBPQG3YGF3FLVC26MXP}

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	2026-05-18T00:50:53.657391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baac151acd0be06de0c5d957516bccbbc0ee76675ed08df8f6241bf83fd29082

Aliases

arxiv: 1702.03486 · arxiv_version: 1702.03486v1 · doi: 10.48550/arxiv.1702.03486 · pith_short_12: XKWBKGWNBPQG · pith_short_16: XKWBKGWNBPQG3YGF · pith_short_8: XKWBKGWN

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/XKWBKGWNBPQG3YGF3FLVC26MXP \
  | 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: baac151acd0be06de0c5d957516bccbbc0ee76675ed08df8f6241bf83fd29082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "955ae44f6248efb9f8cb249bbd9c30fb4d66f3317fc427e04c310af07fe25477",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-02-12T04:17:28Z",
    "title_canon_sha256": "dfd4d9c895f1ebf2665c096d0de4512df79552f83956510145d84b7afc781ad5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03486",
    "kind": "arxiv",
    "version": 1
  }
}