Pith Number

pith:NAZLU3RJ

pith:2012:NAZLU3RJ56N3IXIX3N3RHCATUS

not attested not anchored not stored refs pending

Hyponormality and Subnormality of Block Toeplitz Operators

In Sung Hwang, Raul Curto, Woo Young Lee

arxiv:1201.5976 v2 · 2012-01-28 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NAZLU3RJ56N3IXIX3N3RHCATUS}

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	2026-05-18T03:51:12.730848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6832ba6e29ef9bb45d17db77138813a4940cec81d7fb8bff7a94b9e755e5cf8e

Aliases

arxiv: 1201.5976 · arxiv_version: 1201.5976v2 · doi: 10.48550/arxiv.1201.5976 · pith_short_12: NAZLU3RJ56N3 · pith_short_16: NAZLU3RJ56N3IXIX · pith_short_8: NAZLU3RJ

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/NAZLU3RJ56N3IXIX3N3RHCATUS \
  | 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: 6832ba6e29ef9bb45d17db77138813a4940cec81d7fb8bff7a94b9e755e5cf8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d8249f8872734fae95bb106c078765eeb2bdcc3d35133be4f460a3a6b1acc5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-28T17:33:02Z",
    "title_canon_sha256": "88e5dbe6ffac94267075f2c656bff101ccc9d562330ffc6c519ee9e489b706d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5976",
    "kind": "arxiv",
    "version": 2
  }
}