Pith Number

pith:TTMFM44G

pith:2010:TTMFM44GKNSSHIOX3WU6GDLSKY

not attested not anchored not stored refs pending

A Berezin-Li-Yau type inequality for the fractional Laplacian on a bounded domain

Selma Yildirim Yolcu, Turkay Yolcu

arxiv:1009.4270 v3 · 2010-09-22 · 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{TTMFM44GKNSSHIOX3WU6GDLSKY}

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	2026-05-18T03:04:24.485408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd8567386536523a1d7dda9e30d725625fa600107a744f2825c850c2f1c43c6

Aliases

arxiv: 1009.4270 · arxiv_version: 1009.4270v3 · doi: 10.48550/arxiv.1009.4270 · pith_short_12: TTMFM44GKNSS · pith_short_16: TTMFM44GKNSSHIOX · pith_short_8: TTMFM44G

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/TTMFM44GKNSSHIOX3WU6GDLSKY \
  | 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: 9cd8567386536523a1d7dda9e30d725625fa600107a744f2825c850c2f1c43c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b0a32653666dc3990b0ef46a6e10a46b38f4bac413d6a5f11c7e270ab9f23d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-09-22T04:58:16Z",
    "title_canon_sha256": "307471fda5245db9720d7f72d4930c5d79182e01d43ecc6c26b10b8217fb9d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4270",
    "kind": "arxiv",
    "version": 3
  }
}