Pith Number

pith:Z3IUOQTR

pith:2010:Z3IUOQTRIETYN4ZD3BUSRSIOZ2

not attested not anchored not stored refs pending

Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators

Pier Domenico Lamberti, Victor Burenkov

arxiv:1012.4961 v2 · 2010-12-22 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3IUOQTRIETYN4ZD3BUSRSIOZ2}

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	2026-05-18T03:43:27.479904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced1474271412786f323d86928c90ece90ce02526e72d95f07f8aef0be749dc7

Aliases

arxiv: 1012.4961 · arxiv_version: 1012.4961v2 · doi: 10.48550/arxiv.1012.4961 · pith_short_12: Z3IUOQTRIETY · pith_short_16: Z3IUOQTRIETYN4ZD · pith_short_8: Z3IUOQTR

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/Z3IUOQTRIETYN4ZD3BUSRSIOZ2 \
  | 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: ced1474271412786f323d86928c90ece90ce02526e72d95f07f8aef0be749dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51d516fd66d8814625f4db3f0eb17f8f61ccb836718824eee6e51b35f257f35b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-22T13:02:08Z",
    "title_canon_sha256": "595eb6677d377e5eb11089330c7473eef837fb47770d2a4c81895d5f870e7977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4961",
    "kind": "arxiv",
    "version": 2
  }
}