Pith Number

pith:4GDAUCXE

pith:2019:4GDAUCXEV4BGZCWK2WNED7XZFW

not attested not anchored not stored refs pending

A note on commutators in algebras of unbounded operators

Andreas Thom, Richard V. Kadison, Zhe Liu

arxiv:1901.10711 v1 · 2019-01-30 · 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{4GDAUCXEV4BGZCWK2WNED7XZFW}

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	2026-05-17T23:55:06.205627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1860a0ae4af026c8acad59a41fef92d93f0fb4bbd8be8dc667d668524bcd3ec

Aliases

arxiv: 1901.10711 · arxiv_version: 1901.10711v1 · doi: 10.48550/arxiv.1901.10711 · pith_short_12: 4GDAUCXEV4BG · pith_short_16: 4GDAUCXEV4BGZCWK · pith_short_8: 4GDAUCXE

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/4GDAUCXEV4BGZCWK2WNED7XZFW \
  | 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: e1860a0ae4af026c8acad59a41fef92d93f0fb4bbd8be8dc667d668524bcd3ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "643cea79785ee6bd2c647bec48bd44f007fa19280033bbad9240d3dbc1406045",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-01-30T08:49:50Z",
    "title_canon_sha256": "7d121b52883f7513e9f5c9c5472399e2b22abc1707312bc204c235dafd932a60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10711",
    "kind": "arxiv",
    "version": 1
  }
}