Pith Number

pith:X7HNAW2E

pith:2011:X7HNAW2EGKPPGSYTARLRYQW5SO

not attested not anchored not stored refs pending

On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces

Alexei Yu. Karlovich, Ilya M. Spitkovsky

arxiv:1105.0407 v2 · 2011-05-02 · 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{X7HNAW2EGKPPGSYTARLRYQW5SO}

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	2026-05-18T04:20:49.464711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfced05b44329ef34b1304571c42dd93b971344c5f8d32cf0430787c5e2e6a7e

Aliases

arxiv: 1105.0407 · arxiv_version: 1105.0407v2 · doi: 10.48550/arxiv.1105.0407 · pith_short_12: X7HNAW2EGKPP · pith_short_16: X7HNAW2EGKPPGSYT · pith_short_8: X7HNAW2E

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/X7HNAW2EGKPPGSYTARLRYQW5SO \
  | 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: bfced05b44329ef34b1304571c42dd93b971344c5f8d32cf0430787c5e2e6a7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14875c15433de0c434a5e50a9b9dbb058c0118268cf9edbb741d06a4a772b482",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-02T19:09:32Z",
    "title_canon_sha256": "cd37e2c7180aa9fabc7dbf91a1259c4f2dfbb964172fd989e654213c38845c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0407",
    "kind": "arxiv",
    "version": 2
  }
}