Pith Number

pith:2ZBLBS2U

pith:2024:2ZBLBS2U4NHMKF2JEOOQUTPZ4K

not attested not anchored not stored refs pending

Sharp fractional Sobolev and related inequalities on H-type groups

Qiaohua Yang, Yaojun Wang

arxiv:2406.16278 v2 · 2024-06-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZBLBS2U4NHMKF2JEOOQUTPZ4K}

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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	2026-07-05T08:37:21.126331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d642b0cb54e34ec51749239d0a4df9e2ae180e4e93d5582535b692bb08a356f4

Aliases

arxiv: 2406.16278 · arxiv_version: 2406.16278v2 · doi: 10.48550/arxiv.2406.16278 · pith_short_12: 2ZBLBS2U4NHM · pith_short_16: 2ZBLBS2U4NHMKF2J · pith_short_8: 2ZBLBS2U

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/2ZBLBS2U4NHMKF2JEOOQUTPZ4K \
  | 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: d642b0cb54e34ec51749239d0a4df9e2ae180e4e93d5582535b692bb08a356f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641feea04a9c0d985dede0ae49ffb001d040e8dd868723018ac9937415c95a6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-06-24T03:00:51Z",
    "title_canon_sha256": "153ef8b504d6441fb1a72223cd8d8d6232b07e22f893e64c31092bb1a3b9db5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.16278",
    "kind": "arxiv",
    "version": 2
  }
}