Pith Number

pith:MI4KGLI4

pith:2008:MI4KGLI4PDZMFPOL4XCCT3APLR

not attested not anchored not stored refs pending

Morita equivalent subalgebras of irrational rotation algebras and real quadratic fields

Norio Nawata

arxiv:0802.2751 v2 · 2008-02-20 · math.OA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MI4KGLI4PDZMFPOL4XCCT3APLR}

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	2026-07-04T15:12:55.481507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6238a32d1c78f2c2bdcbe5c429ec0f5c701b8cbfb24c7af8c9131bbab637f74c

Aliases

arxiv: 0802.2751 · arxiv_version: 0802.2751v2 · doi: 10.48550/arxiv.0802.2751 · pith_short_12: MI4KGLI4PDZM · pith_short_16: MI4KGLI4PDZMFPOL · pith_short_8: MI4KGLI4

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/MI4KGLI4PDZMFPOL4XCCT3APLR \
  | 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: 6238a32d1c78f2c2bdcbe5c429ec0f5c701b8cbfb24c7af8c9131bbab637f74c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6287d6ef3f35b613b25a898db0bd2a30e85e98d059db819d75a4eb6282aa30ac",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-02-20T04:55:50Z",
    "title_canon_sha256": "f4c5925e6856d81c9c8d6ac213cc9957af32b916936f01125ac27329c54af353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2751",
    "kind": "arxiv",
    "version": 2
  }
}