Pith Number

pith:M3VUVN5J

pith:2012:M3VUVN5JB7XTUWMNP2HA55RG5P

not attested not anchored not stored refs pending

Prime M-Ideals, M-Prime Submodules, M-Prime Radical and M-Baer's Lower Nilradical of Modules

Faezeh Yazdi, John A. Beachy, Mahmood Behboodi

arxiv:1202.0392 v1 · 2012-02-02 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3VUVN5JB7XTUWMNP2HA55RG5P}

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	2026-05-18T04:03:18.442096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66eb4ab7a90fef3a598d7e8e0ef626ebc378678b46596ccc4ef153edf72c8df6

Aliases

arxiv: 1202.0392 · arxiv_version: 1202.0392v1 · doi: 10.48550/arxiv.1202.0392 · pith_short_12: M3VUVN5JB7XT · pith_short_16: M3VUVN5JB7XTUWMN · pith_short_8: M3VUVN5J

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/M3VUVN5JB7XTUWMNP2HA55RG5P \
  | 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: 66eb4ab7a90fef3a598d7e8e0ef626ebc378678b46596ccc4ef153edf72c8df6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09bd898f897a78239f9a88a37954686c0547abe578a4da375308c7d443a85026",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-02-02T09:36:08Z",
    "title_canon_sha256": "00323618a935c75a0892a37f1ee76e23cb11fb8741b3bfc76cebdb449bd9c658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0392",
    "kind": "arxiv",
    "version": 1
  }
}