Pith Number

pith:MCI6XWV7

pith:2016:MCI6XWV77UQCICIMTVDLZYCDDZ

not attested not anchored not stored refs pending

A New Necessary Condition for the Hyponormality of Toeplitz Operators on the Bergman Space

Raul E. Curto, Zeljko Cuckovic

arxiv:1610.09596 v2 · 2016-10-30 · 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{MCI6XWV77UQCICIMTVDLZYCDDZ}

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	2026-05-18T00:57:37.182695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6091ebdabffd2024090c9d46bce0431e6d0429e13a088b0ef4ec362e90e34744

Aliases

arxiv: 1610.09596 · arxiv_version: 1610.09596v2 · doi: 10.48550/arxiv.1610.09596 · pith_short_12: MCI6XWV77UQC · pith_short_16: MCI6XWV77UQCICIM · pith_short_8: MCI6XWV7

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/MCI6XWV77UQCICIMTVDLZYCDDZ \
  | 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: 6091ebdabffd2024090c9d46bce0431e6d0429e13a088b0ef4ec362e90e34744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3affd117400069c6a2ecebba0d779deea5deefbadab6912a629ed39092274e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-30T02:47:41Z",
    "title_canon_sha256": "0cd851695c1d8796e25e14cf3e650efbf30296600e2b073ab42517206225b3bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09596",
    "kind": "arxiv",
    "version": 2
  }
}