Pith Number

pith:FPEMJEE3

pith:2013:FPEMJEE3WC6A2NECII2OKDKPFL

not attested not anchored not stored refs pending

Schatten classes of integration operators on Dirichlet spaces

Jordi Pau, Jos\'e \'Angel Pel\'aez

arxiv:1302.2417 v1 · 2013-02-11 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPEMJEE3WC6A2NECII2OKDKPFL}

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	2026-05-18T03:34:01.207785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc8c4909bb0bc0d34824234e50d4f2ae8f778d851e147b60ba31506afca65d3

Aliases

arxiv: 1302.2417 · arxiv_version: 1302.2417v1 · doi: 10.48550/arxiv.1302.2417 · pith_short_12: FPEMJEE3WC6A · pith_short_16: FPEMJEE3WC6A2NEC · pith_short_8: FPEMJEE3

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/FPEMJEE3WC6A2NECII2OKDKPFL \
  | 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: 2bc8c4909bb0bc0d34824234e50d4f2ae8f778d851e147b60ba31506afca65d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d12b98a248d8c9e512bfc75b1fc6eb30578d923ceabb010e2504e51348746f7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-11T09:10:28Z",
    "title_canon_sha256": "0785cd3bf14269da1a7f0f3be889a436852f04ff4970611bb602a1590f5a2172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2417",
    "kind": "arxiv",
    "version": 1
  }
}