Pith Number

pith:CG33EGSL

pith:2010:CG33EGSLGMGKQNG4YZSRS4O663

not attested not anchored not stored refs pending

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

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

arxiv:1010.5336 v1 · 2010-10-26 · 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{CG33EGSLGMGKQNG4YZSRS4O663}

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	2026-05-18T04:38:39.015298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b7b21a4b330ca834dcc6651971def6e37d0fbec1bfb9ae3ba6004417315dbf

Aliases

arxiv: 1010.5336 · arxiv_version: 1010.5336v1 · doi: 10.48550/arxiv.1010.5336 · pith_short_12: CG33EGSLGMGK · pith_short_16: CG33EGSLGMGKQNG4 · pith_short_8: CG33EGSL

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/CG33EGSLGMGKQNG4YZSRS4O663 \
  | 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: 11b7b21a4b330ca834dcc6651971def6e37d0fbec1bfb9ae3ba6004417315dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac9d79ce255244ce7a309180df8c6fe46c7156243ca6c47f11380f286015c43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-10-26T08:48:36Z",
    "title_canon_sha256": "da213e15644a6a61c2617f16feae65bbcd716d5bdd58a9c5c0eafe8a6f7d4eb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5336",
    "kind": "arxiv",
    "version": 1
  }
}