Pith Number

pith:F3JU2J6U

pith:2010:F3JU2J6UV5BU7YQESDBOEBTUEI

not attested not anchored not stored refs pending

Minimal and Maximal Operator Spaces and Operator Systems in Entanglement Theory

David W. Kribs, Nathaniel Johnston, Rajesh Pereira, Vern I. Paulsen

arxiv:1010.1432 v1 · 2010-10-07 · math.OA · math.FA · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3JU2J6UV5BU7YQESDBOEBTUEI}

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	2026-05-18T04:29:55.471646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ed34d27d4af434fe20490c2e20674223b7a6e9888f2940008d5cc370f9ba8f7

Aliases

arxiv: 1010.1432 · arxiv_version: 1010.1432v1 · doi: 10.48550/arxiv.1010.1432 · pith_short_12: F3JU2J6UV5BU · pith_short_16: F3JU2J6UV5BU7YQE · pith_short_8: F3JU2J6U

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/F3JU2J6UV5BU7YQESDBOEBTUEI \
  | 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: 2ed34d27d4af434fe20490c2e20674223b7a6e9888f2940008d5cc370f9ba8f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a339742d52421406527283d4cce03b8846d0c383363ba89183c6730838a99f",
    "cross_cats_sorted": [
      "math.FA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-10-07T13:48:28Z",
    "title_canon_sha256": "4577c5e88553240002922dbb036a68143a19bcd25a3d6e555682e90a3e847250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1432",
    "kind": "arxiv",
    "version": 1
  }
}