Pith Number

pith:3JF3UYZV

pith:2012:3JF3UYZV5YQ46DWD42IJEUME2B

not attested not anchored not stored refs pending

Modules Whose Classical Prime Submodules Are Intersections of Maximal Submodules

Mahmood Behboodi, Marzieh Arabi-Kakavand

arxiv:1202.0385 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{3JF3UYZV5YQ46DWD42IJEUME2B}

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	2026-05-18T04:03:18.477750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da4bba6335ee21cf0ec3e690925184d0574a1c0c413333dab9ed2ea59d945e64

Aliases

arxiv: 1202.0385 · arxiv_version: 1202.0385v1 · doi: 10.48550/arxiv.1202.0385 · pith_short_12: 3JF3UYZV5YQ4 · pith_short_16: 3JF3UYZV5YQ46DWD · pith_short_8: 3JF3UYZV

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/3JF3UYZV5YQ46DWD42IJEUME2B \
  | 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: da4bba6335ee21cf0ec3e690925184d0574a1c0c413333dab9ed2ea59d945e64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b8ea5a94fafebbfd9a05094ca4dc2d114f0d18640f56affabae2460d38234a2",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-02-02T08:38:35Z",
    "title_canon_sha256": "80c49822235d9ea374fc5173c59c2aa768ac16e399e6f91685be86b29cbc850b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0385",
    "kind": "arxiv",
    "version": 1
  }
}