Pith Number

pith:5PQ6RRNZ

pith:2023:5PQ6RRNZ55HCWGHUX6ZZCJSA66

not attested not anchored not stored refs pending

Which hyponormal block Toeplitz operators are either normal or analytic?

Chao Zu, Senhua Zhu, Yufeng Lu

arxiv:2308.01373 v2 · 2023-08-02 · 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{5PQ6RRNZ55HCWGHUX6ZZCJSA66}

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	2026-07-05T11:03:12.847788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebe1e8c5b9ef4e2b18f4bfb3912640f7aca2d508d65b614e60d9ec43c41f151d

Aliases

arxiv: 2308.01373 · arxiv_version: 2308.01373v2 · doi: 10.48550/arxiv.2308.01373 · pith_short_12: 5PQ6RRNZ55HC · pith_short_16: 5PQ6RRNZ55HCWGHU · pith_short_8: 5PQ6RRNZ

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/5PQ6RRNZ55HCWGHUX6ZZCJSA66 \
  | 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: ebe1e8c5b9ef4e2b18f4bfb3912640f7aca2d508d65b614e60d9ec43c41f151d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c4bdce681e27cc75004244a0bbfd930e31730ea2f8db7f7f35938dc85de0a76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-08-02T18:25:30Z",
    "title_canon_sha256": "e9960177379e1244b7a940bf06ac624ba20b60f489d6a1732cfb56ab11d41430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01373",
    "kind": "arxiv",
    "version": 2
  }
}