Pith Number

pith:GLCVGWTY

pith:2017:GLCVGWTY2T35N6ZLOXM3RHZ3CF

not attested not anchored not stored refs pending

An extension problem and trace Hardy inequality for the sublaplacian on $H$-type groups

L. Roncal, S. Thangavelu

arxiv:1708.09258 v1 · 2017-08-30 · math.AP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLCVGWTY2T35N6ZLOXM3RHZ3CF}

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	2026-05-18T00:36:20.430065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32c5535a78d4f7d6fb2b75d9b89f3b1161b26ab3d78b0870777fcd745e782af9

Aliases

arxiv: 1708.09258 · arxiv_version: 1708.09258v1 · doi: 10.48550/arxiv.1708.09258 · pith_short_12: GLCVGWTY2T35 · pith_short_16: GLCVGWTY2T35N6ZL · pith_short_8: GLCVGWTY

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/GLCVGWTY2T35N6ZLOXM3RHZ3CF \
  | 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: 32c5535a78d4f7d6fb2b75d9b89f3b1161b26ab3d78b0870777fcd745e782af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a833fcf6a45c5356b5c092375b9fb4dc2566195d274552aee91f662e3c4ba0d7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-30T13:32:15Z",
    "title_canon_sha256": "504154ab9ff951a1c4d589d234cbe0900a71e26ac439467931742b6adbd8d817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09258",
    "kind": "arxiv",
    "version": 1
  }
}