Pith Number

pith:NAUSFKFS

pith:2017:NAUSFKFS3TIULPTPZ6NFXCOTDW

not attested not anchored not stored refs pending

Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of $SL_2(\mathbb{Z})$

Christian B\"onicke, Hung-Chang Liao, Sayan Chakraborty, Zhuofeng He

arxiv:1711.05055 v2 · 2017-11-14 · 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{NAUSFKFS3TIULPTPZ6NFXCOTDW}

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	2026-05-18T00:29:07.957273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

682922a8b2dcd145be6fcf9a5b89d31d9694beb57c7541d3d9b49890b20b1c6a

Aliases

arxiv: 1711.05055 · arxiv_version: 1711.05055v2 · doi: 10.48550/arxiv.1711.05055 · pith_short_12: NAUSFKFS3TIU · pith_short_16: NAUSFKFS3TIULPTP · pith_short_8: NAUSFKFS

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/NAUSFKFS3TIULPTPZ6NFXCOTDW \
  | 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: 682922a8b2dcd145be6fcf9a5b89d31d9694beb57c7541d3d9b49890b20b1c6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cba8c16fdf48854e2199375d10851240b627043f99a8c82a53cca86ff1ae46a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2017-11-14T10:56:08Z",
    "title_canon_sha256": "763f6fd6f33a78c963d5ad81a79a5e345935488946541536be05433eb095de63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05055",
    "kind": "arxiv",
    "version": 2
  }
}