Pith Number

pith:EJCNCVTW

pith:2019:EJCNCVTWIDGDFOI6RGBEDXHDMJ

not attested not anchored not stored refs pending

Hardy-Littlewood-Sobolev inequalities for a class of non-symmetric and non-doubling hypoelliptic semigroups

Giulio Tralli, Nicola Garofalo

arxiv:1904.12982 v1 · 2019-04-29 · 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{EJCNCVTWIDGDFOI6RGBEDXHDMJ}

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	2026-05-17T23:47:24.284735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2244d1567640cc32b91e898241dce3624c73027e29fe712b7844c0e3d759082e

Aliases

arxiv: 1904.12982 · arxiv_version: 1904.12982v1 · doi: 10.48550/arxiv.1904.12982 · pith_short_12: EJCNCVTWIDGD · pith_short_16: EJCNCVTWIDGDFOI6 · pith_short_8: EJCNCVTW

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/EJCNCVTWIDGDFOI6RGBEDXHDMJ \
  | 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: 2244d1567640cc32b91e898241dce3624c73027e29fe712b7844c0e3d759082e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b500e625b9588ce0bd8e876eed9c2e6bfc732700679b26f20343c5cab11600b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-29T22:50:05Z",
    "title_canon_sha256": "f574e58f9f9647d05fa09658b0b43564a19d34c96cbb96886f8d6dc109b21592"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12982",
    "kind": "arxiv",
    "version": 1
  }
}