Pith Number

pith:K62F7RF2

pith:2015:K62F7RF2K45WF3EPP4KXLZPWVO

not attested not anchored not stored refs pending

On 2-absorbing primary submodules of modules over commutative rings

Ahmad Yousefian Darani, Ece Yetkin, Hojjat Mostafanasab, \"Unsal Tekir

arxiv:1503.00308 v1 · 2015-03-01 · 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{K62F7RF2K45WF3EPP4KXLZPWVO}

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	2026-05-18T02:25:54.708764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57b45fc4ba573b62ec8f7f1575e5f6ab9ed45d3fbc9df4d26becef736c3fe77a

Aliases

arxiv: 1503.00308 · arxiv_version: 1503.00308v1 · doi: 10.48550/arxiv.1503.00308 · pith_short_12: K62F7RF2K45W · pith_short_16: K62F7RF2K45WF3EP · pith_short_8: K62F7RF2

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/K62F7RF2K45WF3EPP4KXLZPWVO \
  | 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: 57b45fc4ba573b62ec8f7f1575e5f6ab9ed45d3fbc9df4d26becef736c3fe77a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8ab5c9332ceae1780c7eb6bb0d0d5ffda7547c8a8d2e88f779d0b9b610143bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-03-01T17:00:10Z",
    "title_canon_sha256": "b8b785fbd93df141c1783ddbc301402463f9fe34ef0341b0ce0de6d32f3584d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00308",
    "kind": "arxiv",
    "version": 1
  }
}