Pith Number

pith:PKA2KY7P

pith:2008:PKA2KY7PGJP3WQBWIJV5ITOV3S

not attested not anchored not stored refs pending

The Annihilating-Ideal Graph of Commutative Rings I

Mahmood Behboodi, Zahra Rakeei

arxiv:0808.3187 v2 · 2008-08-23 · 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{PKA2KY7PGJP3WQBWIJV5ITOV3S}

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	2026-05-18T04:28:08.421587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a81a563ef325fbb4036426bd44dd5dcbe1361bcd83c67664c67f70dfd0f00f5

Aliases

arxiv: 0808.3187 · arxiv_version: 0808.3187v2 · doi: 10.48550/arxiv.0808.3187 · pith_short_12: PKA2KY7PGJP3 · pith_short_16: PKA2KY7PGJP3WQBW · pith_short_8: PKA2KY7P

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/PKA2KY7PGJP3WQBWIJV5ITOV3S \
  | 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: 7a81a563ef325fbb4036426bd44dd5dcbe1361bcd83c67664c67f70dfd0f00f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011287492eebbd487a86c1c458e4e3545c6c5f09b3866075b4b732aced8112f5",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2008-08-23T13:14:25Z",
    "title_canon_sha256": "8027d9d88febe73e776f045a87d1d6cffa2450cd9e58b788e16d8bf108b28f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3187",
    "kind": "arxiv",
    "version": 2
  }
}