Pith Number

pith:BGXCKKE2

pith:2018:BGXCKKE27L3ZVMKUNYXGYASIGU

not attested not anchored not stored refs pending

Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group

Chunxia Tao, Guozhen Lu, Lu Chen

arxiv:1807.04699 v2 · 2018-07-12 · math.CA · 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{BGXCKKE27L3ZVMKUNYXGYASIGU}

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	2026-05-17T23:56:09.812429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ae25289afaf79ab1546e2e6c0248352980def27029e1df3016e7abfb6862f0

Aliases

arxiv: 1807.04699 · arxiv_version: 1807.04699v2 · doi: 10.48550/arxiv.1807.04699 · pith_short_12: BGXCKKE27L3Z · pith_short_16: BGXCKKE27L3ZVMKU · pith_short_8: BGXCKKE2

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/BGXCKKE27L3ZVMKUNYXGYASIGU \
  | 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: 09ae25289afaf79ab1546e2e6c0248352980def27029e1df3016e7abfb6862f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c24377de62cf24917e8796067c3fde549905e52da2dd5e72c96205898c24a993",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-07-12T16:10:12Z",
    "title_canon_sha256": "f5e387ec74366eb5b1d6cf3fd6e8c20a4eab2247a9410ce8d4bcb7dc8d1da129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04699",
    "kind": "arxiv",
    "version": 2
  }
}