Pith Number

pith:CCWLPK7C

pith:2011:CCWLPK7C7OD3Z2H4CG4XJOZB73

not attested not anchored not stored refs pending

Unitary N-dilations for tuples of commuting matrices

John E. McCarthy, Orr Shalit

arxiv:1105.2020 v1 · 2011-05-10 · math.FA · math.OA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCWLPK7C7OD3Z2H4CG4XJOZB73}

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	2026-05-18T03:03:55.401275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10acb7abe2fb87bce8fc11b974bb21fee16a6669c3314cd05dd3caedd333f3eb

Aliases

arxiv: 1105.2020 · arxiv_version: 1105.2020v1 · doi: 10.48550/arxiv.1105.2020 · pith_short_12: CCWLPK7C7OD3 · pith_short_16: CCWLPK7C7OD3Z2H4 · pith_short_8: CCWLPK7C

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/CCWLPK7C7OD3Z2H4CG4XJOZB73 \
  | 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: 10acb7abe2fb87bce8fc11b974bb21fee16a6669c3314cd05dd3caedd333f3eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "257ab5e70010f659a02c021d626adb4d7091debd3e341f77e522fc789022cccc",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-05-10T18:55:49Z",
    "title_canon_sha256": "ca9c6ab0df2328faf6e1a15afc42c7293c2b14fccf96012f836369c0764be2bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2020",
    "kind": "arxiv",
    "version": 1
  }
}