Pith Number

pith:4EKWIUG5

pith:2006:4EKWIUG5PLUOSPSRGJXRCOQ67I

not attested not anchored not stored refs pending

Quantum families of maps and quantum semigroups on finite quantum spaces

Piotr M. Soltan

arxiv:math/0610922 v5 · 2006-10-30 · 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{4EKWIUG5PLUOSPSRGJXRCOQ67I}

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.

Cited by

1 paper in Pith

On the structure of noncommutative mapping schemes

Receipt and verification

First computed	2026-05-18T01:38:23.603616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1156450dd7ae8e93e51326f113a1efa216919fe0852aa08610ec6f91f7deb1a

Aliases

arxiv: math/0610922 · arxiv_version: math/0610922v5 · doi: 10.48550/arxiv.math/0610922 · pith_short_12: 4EKWIUG5PLUO · pith_short_16: 4EKWIUG5PLUOSPSR · pith_short_8: 4EKWIUG5

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/4EKWIUG5PLUOSPSRGJXRCOQ67I \
  | 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: e1156450dd7ae8e93e51326f113a1efa216919fe0852aa08610ec6f91f7deb1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1292b3e907a941e08deb88edffda054aac41cb1eaaf15481f26c9a50cf0b074",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2006-10-30T12:11:53Z",
    "title_canon_sha256": "c1e78f7247fda9c6c44efe1f03781d379a061f472d074999c27c2bffe4ec6c0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610922",
    "kind": "arxiv",
    "version": 5
  }
}