Pith Number

pith:SFLLDUPM

pith:2016:SFLLDUPMKJ7DX7KKIYFOVI67QC

not attested not anchored not stored refs pending

Actions of amenable groups and crossed products of Z-absorbing C*-algebras

Yasuhiko Sato

arxiv:1612.08529 v1 · 2016-12-27 · 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{SFLLDUPMKJ7DX7KKIYFOVI67QC}

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	2026-05-18T00:53:52.776864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9156b1d1ec527e3bfd4a460aeaa3df80bc2c84578531bddfd85098c7cc741acc

Aliases

arxiv: 1612.08529 · arxiv_version: 1612.08529v1 · doi: 10.48550/arxiv.1612.08529 · pith_short_12: SFLLDUPMKJ7D · pith_short_16: SFLLDUPMKJ7DX7KK · pith_short_8: SFLLDUPM

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/SFLLDUPMKJ7DX7KKIYFOVI67QC \
  | 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: 9156b1d1ec527e3bfd4a460aeaa3df80bc2c84578531bddfd85098c7cc741acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75f51fd99549fb384eb922096e2953c27e3f163afe82aeb0ec9f5c194932533",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-12-27T08:19:03Z",
    "title_canon_sha256": "009b3e7fa725ed2392e76023b2ab80b8a0fe49a4c99afd23937f4a92a4be1bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08529",
    "kind": "arxiv",
    "version": 1
  }
}