Pith Number

pith:GGDJOHR6

pith:2018:GGDJOHR6YT65A3GMB2SOVZEGQ2

not attested not anchored not stored refs pending

On Stein's extension operator preserving Sobolev-Morrey spaces

Ivan Yuri Violo, Pier Domenico Lamberti

arxiv:1812.02267 v1 · 2018-12-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGDJOHR6YT65A3GMB2SOVZEGQ2}

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	2026-05-17T23:58:56.729700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3186971e3ec4fdd06ccc0ea4eae4868681e3e8d350347e441d13de4617cfd82e

Aliases

arxiv: 1812.02267 · arxiv_version: 1812.02267v1 · doi: 10.48550/arxiv.1812.02267 · pith_short_12: GGDJOHR6YT65 · pith_short_16: GGDJOHR6YT65A3GM · pith_short_8: GGDJOHR6

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/GGDJOHR6YT65A3GMB2SOVZEGQ2 \
  | 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: 3186971e3ec4fdd06ccc0ea4eae4868681e3e8d350347e441d13de4617cfd82e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66174272e4f798674ca86230b1cd4b60ecfc434b0689c8d3c3fd6c6f87c7d2b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-12-05T23:26:17Z",
    "title_canon_sha256": "4098a5e9f4af39e967b6a26e88ee4ccf9741248194edcc8af3d5c72d0b4d2ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.02267",
    "kind": "arxiv",
    "version": 1
  }
}