Pith Number

pith:5HTCKA3N

pith:2011:5HTCKA3NV3BARKYJQIGKCLI7C6

not attested not anchored not stored refs pending

A geometric characterization of a sharp Hardy inequality

Junfang Li, Roger T. Lewis, Yanyan Li

arxiv:1103.5429 v3 · 2011-03-28 · math.AP · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HTCKA3NV3BARKYJQIGKCLI7C6}

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	2026-05-18T04:20:50.861804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e625036daec208ab09820ca12d1f179134000ba22d2e3ed2b2016cfadb2e91

Aliases

arxiv: 1103.5429 · arxiv_version: 1103.5429v3 · doi: 10.48550/arxiv.1103.5429 · pith_short_12: 5HTCKA3NV3BA · pith_short_16: 5HTCKA3NV3BARKYJ · pith_short_8: 5HTCKA3N

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/5HTCKA3NV3BARKYJQIGKCLI7C6 \
  | 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: e9e625036daec208ab09820ca12d1f179134000ba22d2e3ed2b2016cfadb2e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be1f62a90fc15b05fd73793d14ac6aa90bd43aecce9e9226bc8fcf5c57a322ce",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-28T17:47:39Z",
    "title_canon_sha256": "91249fe4b7f81b566af910efd053aa7e415024ae328775aaa906e61fd2209050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5429",
    "kind": "arxiv",
    "version": 3
  }
}