Pith Number

pith:D4QAO62O

pith:2016:D4QAO62ORUCQ6OZUIPQNL7YGX6

not attested not anchored not stored refs pending

Perturbations of crossed product C*-algebras by amenable groups

Shoji Ino

arxiv:1604.03230 v1 · 2016-04-12 · 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{D4QAO62ORUCQ6OZUIPQNL7YGX6}

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	2026-05-18T01:17:16.026177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f20077b4e8d050f3b3443e0d5ff06bf9fb70e76858d87846874b0cc0c8cf19d

Aliases

arxiv: 1604.03230 · arxiv_version: 1604.03230v1 · doi: 10.48550/arxiv.1604.03230 · pith_short_12: D4QAO62ORUCQ · pith_short_16: D4QAO62ORUCQ6OZU · pith_short_8: D4QAO62O

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/D4QAO62ORUCQ6OZUIPQNL7YGX6 \
  | 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: 1f20077b4e8d050f3b3443e0d5ff06bf9fb70e76858d87846874b0cc0c8cf19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ec94c098677505ad670b5846d8527da55249d1faec10a85b777c8c3b25a332",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-04-12T03:23:46Z",
    "title_canon_sha256": "3dbaf8e2bbdd44fcdbb884e2c2b2df90c8a2e0896df6fb9dde01abe04d769de4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03230",
    "kind": "arxiv",
    "version": 1
  }
}