Pith Number

pith:3TZYU4CT

pith:2013:3TZYU4CTL5UI7FZEEXHGJ6437W

not attested not anchored not stored refs pending

$B(H)$-Commutators: A Historical Survey II and recent advances on commutators of compact operators

Daniel Beltita, Gary Weiss, Sasmita Patnaik

arxiv:1303.4844 v1 · 2013-03-20 · math.FA · math.OA · 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{3TZYU4CTL5UI7FZEEXHGJ6437W}

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	2026-05-18T03:30:16.011551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcf38a70535f688f972425ce64fb9bfd8657767339dad5de22c8209fb3d982fb

Aliases

arxiv: 1303.4844 · arxiv_version: 1303.4844v1 · doi: 10.48550/arxiv.1303.4844 · pith_short_12: 3TZYU4CTL5UI · pith_short_16: 3TZYU4CTL5UI7FZE · pith_short_8: 3TZYU4CT

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/3TZYU4CTL5UI7FZEEXHGJ6437W \
  | 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: dcf38a70535f688f972425ce64fb9bfd8657767339dad5de22c8209fb3d982fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fee22a85c8b626129d1043c17420b0b0a7d165c996787dcf0fb86aa07e2f638",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-20T06:13:47Z",
    "title_canon_sha256": "f7cbb11fdf3190cb8ba042b46d0dd02afd66ed87ab45d7180de27d144ce3497e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4844",
    "kind": "arxiv",
    "version": 1
  }
}