Pith Number

pith:E2DTTW4C

pith:2017:E2DTTW4CT666KUEKPWRE3UMMAX

not attested not anchored not stored refs pending

The sharp higher order Hardy--Rellich type inequalities on the homogeneous groups

Van Hoang Nguyen

arxiv:1708.09311 v1 · 2017-08-30 · 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{E2DTTW4CT666KUEKPWRE3UMMAX}

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	2026-05-18T00:36:20.225849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268739db829fbde5508a7da24dd18c05e2e797ce7d492a89c76e5a1669cc5fde

Aliases

arxiv: 1708.09311 · arxiv_version: 1708.09311v1 · doi: 10.48550/arxiv.1708.09311 · pith_short_12: E2DTTW4CT666 · pith_short_16: E2DTTW4CT666KUEK · pith_short_8: E2DTTW4C

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/E2DTTW4CT666KUEKPWRE3UMMAX \
  | 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: 268739db829fbde5508a7da24dd18c05e2e797ce7d492a89c76e5a1669cc5fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79d88452660f0eb09fb61ec3b47dba9f86310dc1e35707396c6e59b36dcb440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-30T14:56:20Z",
    "title_canon_sha256": "1f8e3a1bd09a56441bb1fa864a8945e9293ebafe2423e625b3b9e945bd050386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09311",
    "kind": "arxiv",
    "version": 1
  }
}