Pith Number

pith:RW65EGKE

pith:2011:RW65EGKE7HFG5RQWZSW4LTMZL7

not attested not anchored not stored refs pending

Maximal, potential and singular operators in the local "complementary" variable exponent Morrey type spaces

Javanshir J. Hasanov, Stefan G. Samko, Vagif S. Guliyev

arxiv:1109.5565 v1 · 2011-09-26 · 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{RW65EGKE7HFG5RQWZSW4LTMZL7}

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	2026-05-18T04:12:19.527769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dbdd21944f9ca6ec616ccadc5cd995fe6160444988e568ace99b64421c5a81e

Aliases

arxiv: 1109.5565 · arxiv_version: 1109.5565v1 · doi: 10.48550/arxiv.1109.5565 · pith_short_12: RW65EGKE7HFG · pith_short_16: RW65EGKE7HFG5RQW · pith_short_8: RW65EGKE

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/RW65EGKE7HFG5RQWZSW4LTMZL7 \
  | 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: 8dbdd21944f9ca6ec616ccadc5cd995fe6160444988e568ace99b64421c5a81e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba794c8bfae8db2d81aa2d6d086fe137abf21ebb8cf865c58a72b1c23480e1d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-09-26T13:46:14Z",
    "title_canon_sha256": "0faf7bb7283ec7f07e3b47507b070cce75f4dedee38b571184c9b83be0cb6af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5565",
    "kind": "arxiv",
    "version": 1
  }
}