Pith Number

pith:IYAEGFVI

pith:2012:IYAEGFVIOBEGGWYJNRYWRNNZO3

not attested not anchored not stored refs pending

Weighted Hardy inequalities beyond Lipschitz domains

Juha Lehrb\"ack

arxiv:1209.0588 v1 · 2012-09-04 · 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{IYAEGFVIOBEGGWYJNRYWRNNZO3}

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	2026-05-18T01:23:59.202227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46004316a87048635b096c7168b5b976e8cc18da5ac482bd8cbd040a996e6935

Aliases

arxiv: 1209.0588 · arxiv_version: 1209.0588v1 · doi: 10.48550/arxiv.1209.0588 · pith_short_12: IYAEGFVIOBEG · pith_short_16: IYAEGFVIOBEGGWYJ · pith_short_8: IYAEGFVI

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/IYAEGFVIOBEGGWYJNRYWRNNZO3 \
  | 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: 46004316a87048635b096c7168b5b976e8cc18da5ac482bd8cbd040a996e6935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be1692a92a2b86bf8e33a702282cfdb52284a39cc88f7811b77310f35f9d83f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-04T10:16:03Z",
    "title_canon_sha256": "d02c532224874d71b0a99b88806a28016568ea7ee2113ebec9d88aefae1f4f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0588",
    "kind": "arxiv",
    "version": 1
  }
}