Pith Number

pith:F6O6F3UD

pith:2015:F6O6F3UD6Q6BVUBA2D6WAGWY4I

not attested not anchored not stored refs pending

The effect of the Hardy potential in some Calder\'on-Zygmund properties for the fractional Laplacian

Ana Primo, Boumediene Abdellaoui, Ireneo Peral, Mar\'ia Medina

arxiv:1510.08604 v1 · 2015-10-29 · 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{F6O6F3UD6Q6BVUBA2D6WAGWY4I}

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	2026-05-18T01:28:28.327946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f9de2ee83f43c1ad020d0fd601ad8e21e3d7afa16b64dcc10fe423571205664

Aliases

arxiv: 1510.08604 · arxiv_version: 1510.08604v1 · doi: 10.48550/arxiv.1510.08604 · pith_short_12: F6O6F3UD6Q6B · pith_short_16: F6O6F3UD6Q6BVUBA · pith_short_8: F6O6F3UD

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/F6O6F3UD6Q6BVUBA2D6WAGWY4I \
  | 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: 2f9de2ee83f43c1ad020d0fd601ad8e21e3d7afa16b64dcc10fe423571205664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb06da231a9d4fda971a8dfdf00f819175cbb5c5e78ef32a1242b5eb8120d11d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-29T08:54:05Z",
    "title_canon_sha256": "58323cfe76eab17acbf0e66e4c57508028091431a842441bf7213f69dc2d02ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08604",
    "kind": "arxiv",
    "version": 1
  }
}