Pith Number

pith:A4JCIWL7

pith:2011:A4JCIWL72RCP5BMK6ODD6UJCBP

not attested not anchored not stored refs pending

Comparison and regularity results for the fractional Laplacian via symmetrization methods

Bruno Volzone, Giuseppina di Blasio

arxiv:1106.0997 v4 · 2011-06-06 · 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{A4JCIWL72RCP5BMK6ODD6UJCBP}

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	2026-05-18T04:05:27.455499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071224597fd444fe858af3863f51220be201b7c5a22daa1165ce86293111a692

Aliases

arxiv: 1106.0997 · arxiv_version: 1106.0997v4 · doi: 10.48550/arxiv.1106.0997 · pith_short_12: A4JCIWL72RCP · pith_short_16: A4JCIWL72RCP5BMK · pith_short_8: A4JCIWL7

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/A4JCIWL72RCP5BMK6ODD6UJCBP \
  | 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: 071224597fd444fe858af3863f51220be201b7c5a22daa1165ce86293111a692

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c57d7e4565419bdae883972d330287f070bfa16baccbc121cb385a3c58b60dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-06-06T09:15:55Z",
    "title_canon_sha256": "7efcf049e9b1b996d15c4d4bd175acc311c55cafbe780292c783d49b8890db70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0997",
    "kind": "arxiv",
    "version": 4
  }
}