Pith Number

pith:LKDHW55B

pith:2011:LKDHW55BBNOXKNMLGC4DHCAMBN

not attested not anchored not stored refs pending

Hardy inequality and asymptotic eigenvalue distribution for discrete Laplacians

Sylvain Golenia

arxiv:1106.0658 v4 · 2011-06-03 · math.SP · 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{LKDHW55BBNOXKNMLGC4DHCAMBN}

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	2026-05-18T02:58:30.943877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a867b77a10b5d75358b30b833880c0b6f57aa6f79c22ad1bd97f4674deead77

Aliases

arxiv: 1106.0658 · arxiv_version: 1106.0658v4 · doi: 10.48550/arxiv.1106.0658 · pith_short_12: LKDHW55BBNOX · pith_short_16: LKDHW55BBNOXKNML · pith_short_8: LKDHW55B

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/LKDHW55BBNOXKNMLGC4DHCAMBN \
  | 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: 5a867b77a10b5d75358b30b833880c0b6f57aa6f79c22ad1bd97f4674deead77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e903b5818bc854ce76b4cb104f1eb160a86e2d6616523cc31aa3e850003fd3b3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-06-03T14:44:03Z",
    "title_canon_sha256": "df493188cace93bcbcfc6675b41e00f64b77368a5e93e20a418ce0335d1ba742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0658",
    "kind": "arxiv",
    "version": 4
  }
}