Pith Number

pith:QZQFMI7F

pith:2018:QZQFMI7FIJKJAHBS345KWC7VAD

not attested not anchored not stored refs pending

The Lattice of Idempotent States on a Locally Compact Quantum Group

Pawe{\l} Kasprzak, Piotr M. So{\l}tan

arxiv:1802.03953 v2 · 2018-02-12 · math.OA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZQFMI7FIJKJAHBS345KWC7VAD}

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	2026-05-17T23:58:19.469258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86605623e54254901c32df3aab0bf500ee68e859149289a9223139a9d7c09ad9

Aliases

arxiv: 1802.03953 · arxiv_version: 1802.03953v2 · doi: 10.48550/arxiv.1802.03953 · pith_short_12: QZQFMI7FIJKJ · pith_short_16: QZQFMI7FIJKJAHBS · pith_short_8: QZQFMI7F

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/QZQFMI7FIJKJAHBS345KWC7VAD \
  | 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: 86605623e54254901c32df3aab0bf500ee68e859149289a9223139a9d7c09ad9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8fa56277123b1a1c942ad4e6c74f7517a0a637dd6f3c505aa45642a0f2c459",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-02-12T10:02:13Z",
    "title_canon_sha256": "2d7834a90c64b42aecafc52ca7bebaaa85bb255f1bd6685439781ff78fc02dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03953",
    "kind": "arxiv",
    "version": 2
  }
}