Pith Number

pith:VCVQ22OX

pith:2010:VCVQ22OX4GI3IYPWMA7T5FBVTD

not attested not anchored not stored refs pending

Sharp three sphere inequality for perturbations of a product of two second order elliptic operators and stability for the Cauchy problem for the anisotropic plate equation

Antonino Morassi, Edi Rosset, Sergio Vessella

arxiv:1008.3274 v1 · 2010-08-19 · 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{VCVQ22OX4GI3IYPWMA7T5FBVTD}

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	2026-05-18T04:42:03.004547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ab0d69d7e191b461f6603f3e943598c17bfcb5081da9c174566cbf21e659ea

Aliases

arxiv: 1008.3274 · arxiv_version: 1008.3274v1 · doi: 10.48550/arxiv.1008.3274 · pith_short_12: VCVQ22OX4GI3 · pith_short_16: VCVQ22OX4GI3IYPW · pith_short_8: VCVQ22OX

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/VCVQ22OX4GI3IYPWMA7T5FBVTD \
  | 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: a8ab0d69d7e191b461f6603f3e943598c17bfcb5081da9c174566cbf21e659ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59443cfd5cbca893dd42a80b121f115ddc6f56641c7c3e11c8765a22b1f2efd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-08-19T11:14:04Z",
    "title_canon_sha256": "9e335e1f5abe6ab436b51ae95e652e650823639201863a37e9da80cc33f5ea54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3274",
    "kind": "arxiv",
    "version": 1
  }
}