Pith Number

pith:MCYR66YW

pith:2019:MCYR66YWAHSAZCA5G7AAS6LYOZ

not attested not anchored not stored refs pending

Sharp Sobolev trace inequalities for higher order derivatives

Qiaohua Yang

arxiv:1901.03945 v1 · 2019-01-13 · math.AP · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCYR66YWAHSAZCA5G7AAS6LYOZ}

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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.

Cited by

1 paper in Pith

Sharp trace inequalities for conformally invariant fractional powers of the sublaplacian on the Heisenberg group and the CR sphere

Receipt and verification

First computed	2026-05-17T23:56:26.660755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b11f7b1601e40c881d37c00979787641afda37f30ea9dbf138b8092a2aec96

Aliases

arxiv: 1901.03945 · arxiv_version: 1901.03945v1 · doi: 10.48550/arxiv.1901.03945 · pith_short_12: MCYR66YWAHSA · pith_short_16: MCYR66YWAHSAZCA5 · pith_short_8: MCYR66YW

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/MCYR66YWAHSAZCA5G7AAS6LYOZ \
  | 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: 60b11f7b1601e40c881d37c00979787641afda37f30ea9dbf138b8092a2aec96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d23b30783cfd17711315bc9618aa9b70f7e217a85562905036356cd74d3d5aab",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-13T07:35:25Z",
    "title_canon_sha256": "2c2f5d08dcc5b7084990022d3f8895c564f20bf20c3084353f57591471f9c641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.03945",
    "kind": "arxiv",
    "version": 1
  }
}