Pith Number

pith:MSUWZ6KM

pith:2009:MSUWZ6KMA6PW6ILU42TK5PBIA5

not attested not anchored not stored refs pending

Z-actions on AH algebras and Z^2-actions on AF algebras

Hiroki Matui

arxiv:0907.2474 v2 · 2009-07-15 · 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{MSUWZ6KMA6PW6ILU42TK5PBIA5}

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	2026-05-18T02:13:03.046225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64a96cf94c079f6f2174e6a6aebc280769a8ecb4c25f920b195db885f6c505ea

Aliases

arxiv: 0907.2474 · arxiv_version: 0907.2474v2 · doi: 10.48550/arxiv.0907.2474 · pith_short_12: MSUWZ6KMA6PW · pith_short_16: MSUWZ6KMA6PW6ILU · pith_short_8: MSUWZ6KM

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/MSUWZ6KMA6PW6ILU42TK5PBIA5 \
  | 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: 64a96cf94c079f6f2174e6a6aebc280769a8ecb4c25f920b195db885f6c505ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689fffc13770954637e16e9b572e143fd1ad0e400c5ed3b4419c39de536e5b5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-07-15T00:59:50Z",
    "title_canon_sha256": "6a2060df5acf5359156a4a33c34968069f924d005ae06975deef80202e5b9c1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2474",
    "kind": "arxiv",
    "version": 2
  }
}