Pith Number

pith:CE73CPFI

pith:2019:CE73CPFIUGVU7E3GCBSDGD2B64

not attested not anchored not stored refs pending

Berger-Coburn theorem, localized operators, and the Toeplitz algebra

Robert Fulsche, Wolfram Bauer

arxiv:1905.12246 v2 · 2019-05-29 · math.OA · 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{CE73CPFIUGVU7E3GCBSDGD2B64}

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	2026-05-17T23:42:48.064444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

113fb13ca8a1ab4f93661064330f41f728644173bf882a9cf46ad6bafc69d017

Aliases

arxiv: 1905.12246 · arxiv_version: 1905.12246v2 · doi: 10.48550/arxiv.1905.12246 · pith_short_12: CE73CPFIUGVU · pith_short_16: CE73CPFIUGVU7E3G · pith_short_8: CE73CPFI

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/CE73CPFIUGVU7E3GCBSDGD2B64 \
  | 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: 113fb13ca8a1ab4f93661064330f41f728644173bf882a9cf46ad6bafc69d017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc2d41734de7d30adcfc5144c8a4a9d5657d5a3833aeed25887299b7590ec81",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-05-29T06:59:47Z",
    "title_canon_sha256": "894d7f131915016647819a67b41f10a0624f6c8a33b554c313a6686f1223e5ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.12246",
    "kind": "arxiv",
    "version": 2
  }
}