Pith Number

pith:LVFEZJBB

pith:2010:LVFEZJBBX47SPXMQ5AI3NFMTNM

not attested not anchored not stored refs pending

Sufficient Conditions for Fredholmness of Singular Integral Operators with Shifts and Slowly Oscillating Data

Alexei Yu. Karlovich, Amarino B. Lebre, Yuri I. Karlovich

arxiv:1009.5656 v1 · 2010-09-28 · 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{LVFEZJBBX47SPXMQ5AI3NFMTNM}

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	2026-05-18T04:40:09.687651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d4a4ca421bf3f27dd90e811b695936b3b8c3d6d77c849b4e01e65590e8a9253

Aliases

arxiv: 1009.5656 · arxiv_version: 1009.5656v1 · doi: 10.48550/arxiv.1009.5656 · pith_short_12: LVFEZJBBX47S · pith_short_16: LVFEZJBBX47SPXMQ · pith_short_8: LVFEZJBB

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/LVFEZJBBX47SPXMQ5AI3NFMTNM \
  | 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: 5d4a4ca421bf3f27dd90e811b695936b3b8c3d6d77c849b4e01e65590e8a9253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78992f7bb41487a52ef2cb976cf462313c44ffd75420f1b68d5321b5d0a1a6bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-28T19:06:03Z",
    "title_canon_sha256": "017a37cf9c4f1d041f30c6fea31c81da6f7fd88106845e7a3687b343194c82cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5656",
    "kind": "arxiv",
    "version": 1
  }
}