Pith Number

pith:PJKWLXFE

pith:2012:PJKWLXFEVHMCI32RWHBRVT2URF

not attested not anchored not stored refs pending

On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup

Joachim Cuntz, Siegfried Echterhoff, Xin Li

arxiv:1201.4680 v2 · 2012-01-23 · math.OA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJKWLXFEVHMCI32RWHBRVT2URF}

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	2026-05-18T03:24:54.393139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5565dca4a9d8246f51b1c31acf548969da13f96d92ff5a10f6b8b7d18e5d0a

Aliases

arxiv: 1201.4680 · arxiv_version: 1201.4680v2 · doi: 10.48550/arxiv.1201.4680 · pith_short_12: PJKWLXFEVHMC · pith_short_16: PJKWLXFEVHMCI32R · pith_short_8: PJKWLXFE

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/PJKWLXFEVHMCI32RWHBRVT2URF \
  | 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: 7a5565dca4a9d8246f51b1c31acf548969da13f96d92ff5a10f6b8b7d18e5d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f79d99e9365eecb4f5835e400bad6fa73b2111468b64f45ecd8611d6723e51f",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-01-23T11:00:25Z",
    "title_canon_sha256": "71107c8da909eb78791d34c728f35bd593fedb5b2ceb33dffcab2d32013a6c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4680",
    "kind": "arxiv",
    "version": 2
  }
}