Pith Number

pith:XEXOMEUB

pith:2012:XEXOMEUBWDRCOW4WYZ2HMPVUVW

not attested not anchored not stored refs pending

K-theory of noncommutative Bieberbach manifolds

Andrzej Sitarz, Piotr Olczykowski

arxiv:1205.0743 v1 · 2012-05-03 · math.QA · math-ph · math.KT · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XEXOMEUBWDRCOW4WYZ2HMPVUVW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:14:29.472406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b92ee61281b0e2275b96c674763eb4ad872268ed39c05bf6625fa777332d517b

Aliases

arxiv: 1205.0743 · arxiv_version: 1205.0743v1 · doi: 10.48550/arxiv.1205.0743 · pith_short_12: XEXOMEUBWDRC · pith_short_16: XEXOMEUBWDRCOW4W · pith_short_8: XEXOMEUB

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/XEXOMEUBWDRCOW4WYZ2HMPVUVW \
  | 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: b92ee61281b0e2275b96c674763eb4ad872268ed39c05bf6625fa777332d517b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b374b1b0611d763135737c93a3b4ba2efa5634a88c1ab1f1631c21ef93bed091",
    "cross_cats_sorted": [
      "math-ph",
      "math.KT",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-05-03T15:47:15Z",
    "title_canon_sha256": "e5bc2fe967192eb1bbd41c1cc59b14f264e1544631b7b8c72ec21bfbb191154b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0743",
    "kind": "arxiv",
    "version": 1
  }
}