Pith Number

pith:6UFMFRAI

pith:2005:6UFMFRAIUPPTPDUE225CHENXZY

not attested not anchored not stored refs pending

Crossed product of a C*-algebra by a semigroup of endomorphisms generated by partial isometries

A. V. Lebedev, B. K. Kwasniewski

arxiv:math/0507143 v2 · 2005-07-07 · 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{6UFMFRAIUPPTPDUE225CHENXZY}

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	2026-05-18T02:32:44.639424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f50ac2c408a3df378e84d6ba2391b7ce3d0896f4a7a03e537a29a4cf8ef5508f

Aliases

arxiv: math/0507143 · arxiv_version: math/0507143v2 · doi: 10.48550/arxiv.math/0507143 · pith_short_12: 6UFMFRAIUPPT · pith_short_16: 6UFMFRAIUPPTPDUE · pith_short_8: 6UFMFRAI

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/6UFMFRAIUPPTPDUE225CHENXZY \
  | 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: f50ac2c408a3df378e84d6ba2391b7ce3d0896f4a7a03e537a29a4cf8ef5508f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2450c6270c6d1bef993378f2cf971d43a5f92a6934f3850df942e27ba06d2a4d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2005-07-07T13:51:08Z",
    "title_canon_sha256": "8fac42a21f7426cd68b3671fb42f4a524ed3ed32986ccef488b81a30f8075be6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507143",
    "kind": "arxiv",
    "version": 2
  }
}