Pith Number

pith:TRXAZ5RS

pith:2006:TRXAZ5RSYZLD3CJSNJ5BZLXZAW

not attested not anchored not stored refs pending

Crossed product of a C*-algebra by a semigroup of bounded positive linear maps. Interactions

B. K. Kwasniewski

arxiv:math/0603202 v1 · 2006-03-08 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRXAZ5RSYZLD3CJSNJ5BZLXZAW}

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	2026-05-18T02:40:46.048529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6e0cf632c6563d89326a7a1caef9058ec0d2303cd2b1e8582fbb97a0b857cc

Aliases

arxiv: math/0603202 · arxiv_version: math/0603202v1 · doi: 10.48550/arxiv.math/0603202 · pith_short_12: TRXAZ5RSYZLD · pith_short_16: TRXAZ5RSYZLD3CJS · pith_short_8: TRXAZ5RS

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/TRXAZ5RSYZLD3CJSNJ5BZLXZAW \
  | 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: 9c6e0cf632c6563d89326a7a1caef9058ec0d2303cd2b1e8582fbb97a0b857cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88f6594208072140a64a30aafbf4dfb7d6188e075179f3e182fb7186ba34109d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-03-08T22:06:36Z",
    "title_canon_sha256": "fbbef3babb2aa7cfc62845c03f1dd86414f8a8446f3848e1f6049c46fceec4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603202",
    "kind": "arxiv",
    "version": 1
  }
}