Pith Number

pith:WYF3T7DW

pith:2009:WYF3T7DW27DAFGGTAFV3YKU7SA

not attested not anchored not stored refs pending

Z-stability of crossed products by strongly outer actions

Hiroki Matui, Yasuhiko Sato

arxiv:0912.4804 v2 · 2009-12-24 · 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{WYF3T7DW27DAFGGTAFV3YKU7SA}

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	2026-05-18T04:18:54.766271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b60bb9fc76d7c60298d3016bbc2a9f902d7b0c94e84057c28b64e041de3c3de1

Aliases

arxiv: 0912.4804 · arxiv_version: 0912.4804v2 · doi: 10.48550/arxiv.0912.4804 · pith_short_12: WYF3T7DW27DA · pith_short_16: WYF3T7DW27DAFGGT · pith_short_8: WYF3T7DW

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/WYF3T7DW27DAFGGTAFV3YKU7SA \
  | 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: b60bb9fc76d7c60298d3016bbc2a9f902d7b0c94e84057c28b64e041de3c3de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658cad465eb1043be0642bc4a83d220f0a6da36f6188345a8ff064ff696d68a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-12-24T07:48:15Z",
    "title_canon_sha256": "9710c70c1eecdd2c5fcfb801d5e6305a9f8b7ca86752f79c1a4adfdb6585297a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.4804",
    "kind": "arxiv",
    "version": 2
  }
}