Pith Number

pith:H4LOY6P2

pith:2017:H4LOY6P2XCVFDQFDRH6K3JGA27

not attested not anchored not stored refs pending

The multi-parameter Hausdorff operators on $H^1$ and $L^p$

Duong Quoc Huy, Luong Dang Ky

arxiv:1705.02548 v2 · 2017-05-07 · math.CA

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4LOY6P2XCVFDQFDRH6K3JGA27}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:28:06.997101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f16ec79fab8aa51c0a389fcada4c0d7d1b9eaf39e212b9176a6443480d4da59

Aliases

arxiv: 1705.02548 · arxiv_version: 1705.02548v2 · doi: 10.48550/arxiv.1705.02548 · pith_short_12: H4LOY6P2XCVF · pith_short_16: H4LOY6P2XCVFDQFD · pith_short_8: H4LOY6P2

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/H4LOY6P2XCVFDQFDRH6K3JGA27 \
  | 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: 3f16ec79fab8aa51c0a389fcada4c0d7d1b9eaf39e212b9176a6443480d4da59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3af64b6a64321727ec9410f034ca2f5203137eb12795ce3b248472064057bf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-07T02:11:30Z",
    "title_canon_sha256": "51b6f435ec941d85bdef5418ca5b93aa7aa1ba1229abfca4262fc418886649f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02548",
    "kind": "arxiv",
    "version": 2
  }
}