Pith Number

pith:HZLPUPWC

pith:2017:HZLPUPWC5V2CRZ6WZZDUR5OJNT

not attested not anchored not stored refs pending

Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four

Guozhen Lu, Qiaohua Yang

arxiv:1703.08149 v1 · 2017-03-23 · math.AP · 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{HZLPUPWC5V2CRZ6WZZDUR5OJNT}

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	2026-05-18T00:48:03.749088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e56fa3ec2ed7428e7d6ce4748f5c96cc09757ce1ce2080f7edee669b081a0f3

Aliases

arxiv: 1703.08149 · arxiv_version: 1703.08149v1 · doi: 10.48550/arxiv.1703.08149 · pith_short_12: HZLPUPWC5V2C · pith_short_16: HZLPUPWC5V2CRZ6W · pith_short_8: HZLPUPWC

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/HZLPUPWC5V2CRZ6WZZDUR5OJNT \
  | 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: 3e56fa3ec2ed7428e7d6ce4748f5c96cc09757ce1ce2080f7edee669b081a0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b91cf6f371f4de74ea1c6456c1b39e0a28b3919c4ef4b18b7727c92e4f0d8a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-23T17:27:40Z",
    "title_canon_sha256": "ac183367a23fcb9363b91a8296829ea05c29028dfbf0836a6db89b7c6d532e3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08149",
    "kind": "arxiv",
    "version": 1
  }
}