Pith Number

pith:SYNYTQZX

pith:2019:SYNYTQZXONREEP7ZRKKZ2WDHSV

not attested not anchored not stored refs pending

Toeplitz operators on the domain $\{Z\in M_{2\times2}(\mathbb{C}) \mid Z Z^* < I\}$ with $\mathrm{U}(2)\times\mathbb{T}^2$-invariant symbols

Gestur Olafsson, Matthew Dawson, Raul Quiroga-Barranco

arxiv:1905.13351 v1 · 2019-05-30 · math.FA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SYNYTQZXONREEP7ZRKKZ2WDHSV}

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	2026-05-17T23:44:35.214653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961b89c3377362423ff98a959d586795588bb200f72e5a953358fbe0ff885a2d

Aliases

arxiv: 1905.13351 · arxiv_version: 1905.13351v1 · doi: 10.48550/arxiv.1905.13351 · pith_short_12: SYNYTQZXONRE · pith_short_16: SYNYTQZXONREEP7Z · pith_short_8: SYNYTQZX

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/SYNYTQZXONREEP7ZRKKZ2WDHSV \
  | 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: 961b89c3377362423ff98a959d586795588bb200f72e5a953358fbe0ff885a2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f413515847d471ce9929ed27c68fd00eb885badce2dfc1836964e4ea77c8a09",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-30T23:19:33Z",
    "title_canon_sha256": "1fbe9b89cbce0c06016880614a7ea1a73b6ad7b37fe69e0ddc2cf7ea3c0fe941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13351",
    "kind": "arxiv",
    "version": 1
  }
}