Pith Number

pith:MMXQ3DXP

pith:2019:MMXQ3DXPCXEZ7KURBRUP5EQVU3

not attested not anchored not stored refs pending

Kawada-It\^o-Kelley Theorem for Quantum Semigroups

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

arxiv:1905.11726 v1 · 2019-05-28 · math.OA · math.FA · 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{MMXQ3DXPCXEZ7KURBRUP5EQVU3}

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	2026-05-17T23:44:52.487848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632f0d8eef15c99faa910c68fe9215a6fc8a5d8f4ca98dd573cdbf532064dce3

Aliases

arxiv: 1905.11726 · arxiv_version: 1905.11726v1 · doi: 10.48550/arxiv.1905.11726 · pith_short_12: MMXQ3DXPCXEZ · pith_short_16: MMXQ3DXPCXEZ7KUR · pith_short_8: MMXQ3DXP

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/MMXQ3DXPCXEZ7KURBRUP5EQVU3 \
  | 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: 632f0d8eef15c99faa910c68fe9215a6fc8a5d8f4ca98dd573cdbf532064dce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e38ec6ce5656d5dfb50e15ca3ce760cb819c18cae1aeab8db52540ac4d2dcec9",
    "cross_cats_sorted": [
      "math.FA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-05-28T10:23:34Z",
    "title_canon_sha256": "314f8615dbdb26383a2f269f445591d51271ba077939b56798b603fa9d91fb16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11726",
    "kind": "arxiv",
    "version": 1
  }
}