Pith Number

pith:XJFKVH32

pith:2012:XJFKVH32C4YGNVDI4TVT2UONZQ

not attested not anchored not stored refs pending

Radial fractional Laplace operators and Hessian inequalities

Fausto Ferrari, Igor E. Verbitsky

arxiv:1203.3149 v1 · 2012-03-14 · 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{XJFKVH32C4YGNVDI4TVT2UONZQ}

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	2026-05-18T04:00:03.227725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba4aaa9f7a173066d468e4eb3d51cdcc3550aeafb52816f9b96a8abfb641b2a7

Aliases

arxiv: 1203.3149 · arxiv_version: 1203.3149v1 · doi: 10.48550/arxiv.1203.3149 · pith_short_12: XJFKVH32C4YG · pith_short_16: XJFKVH32C4YGNVDI · pith_short_8: XJFKVH32

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/XJFKVH32C4YGNVDI4TVT2UONZQ \
  | 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: ba4aaa9f7a173066d468e4eb3d51cdcc3550aeafb52816f9b96a8abfb641b2a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f43cb6b145c4b16fe22ad1f0ec2aee46042bb26b7c172337b127f90971f19e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-14T17:17:16Z",
    "title_canon_sha256": "b98492caeaf3c49358a59f5e1a500ef972a102b8b94c1da34db2301ab0d8bc7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3149",
    "kind": "arxiv",
    "version": 1
  }
}