Pith Number

pith:5ODC4GO5

pith:2012:5ODC4GO57BTIKFG5BVMQKL4PW6

not attested not anchored not stored refs pending

On Commutative Rings Whose Prime Ideals Are Direct Sums of Cyclics

Ali Moradzadeh-Dehkordi, Mahmood Behboodi

arxiv:1202.0371 v1 · 2012-02-02 · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ODC4GO57BTIKFG5BVMQKL4PW6}

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	2026-05-18T04:03:18.540646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb862e19ddf8668514dd0d59052f8fb7a2028e7f449c81de35e2d78da5e94807

Aliases

arxiv: 1202.0371 · arxiv_version: 1202.0371v1 · doi: 10.48550/arxiv.1202.0371 · pith_short_12: 5ODC4GO57BTI · pith_short_16: 5ODC4GO57BTIKFG5 · pith_short_8: 5ODC4GO5

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/5ODC4GO57BTIKFG5BVMQKL4PW6 \
  | 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: eb862e19ddf8668514dd0d59052f8fb7a2028e7f449c81de35e2d78da5e94807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "804e2a34ac5730c2440fdb392b5a063f3f0b9f4adc049e34d011b3cf36662262",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-02T06:22:01Z",
    "title_canon_sha256": "7310e8f26c8e7a09db628adef131993db20c22cd5c487a4eb3c5be9cab71e4cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0371",
    "kind": "arxiv",
    "version": 1
  }
}