Pith Number

pith:WDOQ575N

pith:2017:WDOQ575NEJDXJHAWEVX45USGUY

not attested not anchored not stored refs pending

The Coburn-Simonenko theorem for Toeplitz operators acting between Hardy type subspaces of different Banach function spaces

Alexei Yu. Karlovich

arxiv:1708.01475 v1 · 2017-08-04 · 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{WDOQ575NEJDXJHAWEVX45USGUY}

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	2026-05-18T00:38:37.266097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0dd0effad2247749c16256fced246a622d8605568a0c7dbd3f6c5e9818a6135

Aliases

arxiv: 1708.01475 · arxiv_version: 1708.01475v1 · doi: 10.48550/arxiv.1708.01475 · pith_short_12: WDOQ575NEJDX · pith_short_16: WDOQ575NEJDXJHAW · pith_short_8: WDOQ575N

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/WDOQ575NEJDXJHAWEVX45USGUY \
  | 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: b0dd0effad2247749c16256fced246a622d8605568a0c7dbd3f6c5e9818a6135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1639366323e3b8d0e3f370f74a2d14758a40ba85212adaa050a4b7110e4593d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-04T12:32:00Z",
    "title_canon_sha256": "cd8b1a24b4c5dc946fb4ba28409cb8459635e969046e0461973177aec19841ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01475",
    "kind": "arxiv",
    "version": 1
  }
}