Pith Number

pith:OBXH3IO6

pith:2011:OBXH3IO6RMK7DQR6YTDW57VKTS

not attested not anchored not stored refs pending

Operator system quotients of matrix algebras and their tensor products

Douglas Farenick, Vern I. Paulsen

arxiv:1101.0790 v2 · 2011-01-04 · 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{OBXH3IO6RMK7DQR6YTDW57VKTS}

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	2026-05-18T04:17:04.424897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

706e7da1de8b15f1c23ec4c76efeaa9cbac7eb3ae3060d0662ce5d66dc804a31

Aliases

arxiv: 1101.0790 · arxiv_version: 1101.0790v2 · doi: 10.48550/arxiv.1101.0790 · pith_short_12: OBXH3IO6RMK7 · pith_short_16: OBXH3IO6RMK7DQR6 · pith_short_8: OBXH3IO6

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/OBXH3IO6RMK7DQR6YTDW57VKTS \
  | 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: 706e7da1de8b15f1c23ec4c76efeaa9cbac7eb3ae3060d0662ce5d66dc804a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06ed587a8c2ca53abdd33cba7e9fe0fc696fa0f2a50b690f3f6a5785a88d5087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-04T18:59:04Z",
    "title_canon_sha256": "79189bbc79ec02c63ba947df05575b8a1049f2ccf19db063a7c2867fd20575e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0790",
    "kind": "arxiv",
    "version": 2
  }
}