Pith Number

pith:IY2S7IAU

pith:2017:IY2S7IAUFIQEMYNA32LVR62S24

not attested not anchored not stored refs pending

Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces

Guozhen Lu, Qiaohua Yang

arxiv:1703.08171 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{IY2S7IAUFIQEMYNA32LVR62S24}

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	2026-05-18T00:48:03.692546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46352fa0142a204661a0de9758fb52d737cfe027b70c73824902c69385652353

Aliases

arxiv: 1703.08171 · arxiv_version: 1703.08171v1 · doi: 10.48550/arxiv.1703.08171 · pith_short_12: IY2S7IAUFIQE · pith_short_16: IY2S7IAUFIQEMYNA · pith_short_8: IY2S7IAU

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/IY2S7IAUFIQEMYNA32LVR62S24 \
  | 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: 46352fa0142a204661a0de9758fb52d737cfe027b70c73824902c69385652353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637a54d1c88b98eb4440f44bd08a3097997fb319c46df1c26551ba21cb3f9d09",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-23T17:59:52Z",
    "title_canon_sha256": "3711c3df05885091619e6eb610106897721b857229aab83796dd8264bfa90185"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08171",
    "kind": "arxiv",
    "version": 1
  }
}