Pith Number

pith:4C7KUQE7

pith:2009:4C7KUQE7B6Q2JDXGHZ5OB4AAM4

not attested not anchored not stored refs pending

Commutant Lifting for Commuting Row Contractions

Kenneth R. Davidson, Trieu Le

arxiv:0906.4526 v2 · 2009-06-24 · 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{4C7KUQE7B6Q2JDXGHZ5OB4AAM4}

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	2026-05-18T02:58:03.024829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0beaa409f0fa1a48ee63e7ae0f000671126cebbb343b35942e5f51219a1be9c

Aliases

arxiv: 0906.4526 · arxiv_version: 0906.4526v2 · doi: 10.48550/arxiv.0906.4526 · pith_short_12: 4C7KUQE7B6Q2 · pith_short_16: 4C7KUQE7B6Q2JDXG · pith_short_8: 4C7KUQE7

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/4C7KUQE7B6Q2JDXGHZ5OB4AAM4 \
  | 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: e0beaa409f0fa1a48ee63e7ae0f000671126cebbb343b35942e5f51219a1be9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e128dcb12ac42a0849767e5dd61346e903a3becb0286189401a44ec8fb8eac9",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-06-24T19:07:32Z",
    "title_canon_sha256": "e2945a98ce1e9936606c8aca14e8a0720354667f710c98ba13002bae30fbf72e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4526",
    "kind": "arxiv",
    "version": 2
  }
}