Pith Number

pith:N7VLY73Z

pith:2014:N7VLY73ZJ6PN5JPP36SLAY5UDF

not attested not anchored not stored refs pending

Hardy Type Inequalities for $\Delta_\lambda$-Laplacians

A.E. Kogoj, S. Sonner

arxiv:1403.0215 v2 · 2014-03-02 · 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{N7VLY73ZJ6PN5JPP36SLAY5UDF}

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	2026-05-18T02:25:32.711158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6feabc7f794f9edea5efdfa4b063b41941ebcd86984219db1be28bcb429fa8da

Aliases

arxiv: 1403.0215 · arxiv_version: 1403.0215v2 · doi: 10.48550/arxiv.1403.0215 · pith_short_12: N7VLY73ZJ6PN · pith_short_16: N7VLY73ZJ6PN5JPP · pith_short_8: N7VLY73Z

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/N7VLY73ZJ6PN5JPP36SLAY5UDF \
  | 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: 6feabc7f794f9edea5efdfa4b063b41941ebcd86984219db1be28bcb429fa8da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51d9a3e87eb6300df36c384585880286372e3a1a8b10087ec9ed7e8b7fc2773d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-02T14:49:09Z",
    "title_canon_sha256": "c8e58afaa93439e158fde7226ecea0b25f7078f4f309c125bb17f040e9eeb62a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0215",
    "kind": "arxiv",
    "version": 2
  }
}