Pith Number

pith:LICSPO7X

pith:2011:LICSPO7XGA24U7QUDO5TO3LTE7

not attested not anchored not stored refs pending

Hardy's inequality and curvature

A.A. Balinsky, R.T. Lewis, W.D. Evans

arxiv:1101.2331 v2 · 2011-01-12 · math.SP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LICSPO7XGA24U7QUDO5TO3LTE7}

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	2026-05-18T04:21:13.392793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a0527bbf73035ca7e141bbb376d7327e84c9aa98fb2b6cea9d66275970af28f

Aliases

arxiv: 1101.2331 · arxiv_version: 1101.2331v2 · doi: 10.48550/arxiv.1101.2331 · pith_short_12: LICSPO7XGA24 · pith_short_16: LICSPO7XGA24U7QU · pith_short_8: LICSPO7X

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/LICSPO7XGA24U7QUDO5TO3LTE7 \
  | 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: 5a0527bbf73035ca7e141bbb376d7327e84c9aa98fb2b6cea9d66275970af28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c98b5d3673c47fe08d94c6537056af750f98866c5135e9a12f0f8fb3717b697b",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-01-12T11:41:29Z",
    "title_canon_sha256": "b55ad1c54ab024033e086f8a163aab20f363c992731c77ff291846871098c80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2331",
    "kind": "arxiv",
    "version": 2
  }
}