Pith Number

pith:DHZPLVQI

pith:2010:DHZPLVQI5RX7PYT3AUKMR43MDC

not attested not anchored not stored refs pending

Quotients, exactness, and nuclearity in the operator system category

Ali S. Kavruk, Ivan G. Todorov, Mark Tomforde, Vern I. Paulsen

arxiv:1008.2811 v2 · 2010-08-17 · 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{DHZPLVQI5RX7PYT3AUKMR43MDC}

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	2026-05-18T04:42:03.805673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19f2f5d608ec6ff7e27b0514c8f36c18be48a9952cf95883f37ce6c1ca6c59bf

Aliases

arxiv: 1008.2811 · arxiv_version: 1008.2811v2 · doi: 10.48550/arxiv.1008.2811 · pith_short_12: DHZPLVQI5RX7 · pith_short_16: DHZPLVQI5RX7PYT3 · pith_short_8: DHZPLVQI

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/DHZPLVQI5RX7PYT3AUKMR43MDC \
  | 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: 19f2f5d608ec6ff7e27b0514c8f36c18be48a9952cf95883f37ce6c1ca6c59bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "492ea9598c7064d210f36c5cf01e5acaee8fa5c3412717d7e6e49231ea3c69ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-08-17T04:01:13Z",
    "title_canon_sha256": "b26d67b5b63acc0c4c59afc8fd9d7d943666286aaf50d91219f2f4928030c1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2811",
    "kind": "arxiv",
    "version": 2
  }
}