Pith Number

pith:BDAD6BH7

pith:2011:BDAD6BH73TSQWDCFMWDUSWKSJW

not attested not anchored not stored refs pending

The Correlation Numerical Range of a Matrix and Connes' Embedding Problem

Deguang Han, Don Hadwin

arxiv:1108.5219 v1 · 2011-08-26 · 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{BDAD6BH73TSQWDCFMWDUSWKSJW}

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	2026-05-18T04:14:38.719634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08c03f04ffdce50b0c4565874959524dadb669f686809aab7cd7ed717bc7f1ce

Aliases

arxiv: 1108.5219 · arxiv_version: 1108.5219v1 · doi: 10.48550/arxiv.1108.5219 · pith_short_12: BDAD6BH73TSQ · pith_short_16: BDAD6BH73TSQWDCF · pith_short_8: BDAD6BH7

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/BDAD6BH73TSQWDCFMWDUSWKSJW \
  | 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: 08c03f04ffdce50b0c4565874959524dadb669f686809aab7cd7ed717bc7f1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2303b7c9bd74940047fedc1566db3fe7edbd5399aeeda45ba34cb98af499999b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-08-26T01:02:39Z",
    "title_canon_sha256": "2c89390f581823a70b7b238cc7344bef479a5ad79a8962fdd2c41bb89f797525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5219",
    "kind": "arxiv",
    "version": 1
  }
}