Pith Number

pith:CGB5LXHH

pith:2018:CGB5LXHH2UBJMJSKXVLFU2CEG3

not attested not anchored not stored refs pending

Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

Bolys Sabitbek, Durvudkhan Suragan, Michael Ruzhansky

arxiv:1806.06226 v1 · 2018-06-16 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGB5LXHH2UBJMJSKXVLFU2CEG3}

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	2026-05-18T00:13:03.224814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1183d5dce7d50296264abd565a684436cfe02c88e65654f4b35f5bb1a35b84b2

Aliases

arxiv: 1806.06226 · arxiv_version: 1806.06226v1 · doi: 10.48550/arxiv.1806.06226 · pith_short_12: CGB5LXHH2UBJ · pith_short_16: CGB5LXHH2UBJMJSK · pith_short_8: CGB5LXHH

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/CGB5LXHH2UBJMJSKXVLFU2CEG3 \
  | 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: 1183d5dce7d50296264abd565a684436cfe02c88e65654f4b35f5bb1a35b84b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64d12f0135f5d3ec4eb365c879fd9696b783461724438ac67edcaf9874dc00d7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-16T11:46:46Z",
    "title_canon_sha256": "62f8bea1ede9e8dd317287492adc57ea1bf1be627dba997b9fb863ddaf92df80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.06226",
    "kind": "arxiv",
    "version": 1
  }
}