Pith Number

pith:LCGRYZAF

pith:2013:LCGRYZAFYEERVHW5IYMWA56P2Q

not attested not anchored not stored refs pending

A Note on Co-Maximal Ideal Graph of Commutative Rings

Babak Miraftab, Reza Nikandish, Saieed Akbari

arxiv:1307.5401 v2 · 2013-07-20 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LCGRYZAFYEERVHW5IYMWA56P2Q}

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	2026-05-18T01:29:13.560648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

588d1c6405c1091a9edd46196077cfd4327ee0aac4bedebc2ec628e43898c64c

Aliases

arxiv: 1307.5401 · arxiv_version: 1307.5401v2 · doi: 10.48550/arxiv.1307.5401 · pith_short_12: LCGRYZAFYEER · pith_short_16: LCGRYZAFYEERVHW5 · pith_short_8: LCGRYZAF

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/LCGRYZAFYEERVHW5IYMWA56P2Q \
  | 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: 588d1c6405c1091a9edd46196077cfd4327ee0aac4bedebc2ec628e43898c64c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb6af4b4f51b7cf0c60fa262bc5511e07dd5b4f6dbc3eebf11076b12f60ee19d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-07-20T10:15:25Z",
    "title_canon_sha256": "836b6bfdfb9d3ceb9a0d4bce4b00f64894424f2c46e4b70139b4137b516c8dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5401",
    "kind": "arxiv",
    "version": 2
  }
}