Pith Number

pith:CBBCW4VP

pith:2010:CBBCW4VPKBGW4F6T2VLGFV3ULQ

not attested not anchored not stored refs pending

Zero-divisors of semigroup modules

Peyman Nasehpour

arxiv:1002.1869 v3 · 2010-02-09 · 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{CBBCW4VPKBGW4F6T2VLGFV3ULQ}

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	2026-05-18T00:18:37.186446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10422b72af504d6e17d3d55662d7745c244d4e4c34cf184fa09e2a0b2eb0d6da

Aliases

arxiv: 1002.1869 · arxiv_version: 1002.1869v3 · doi: 10.48550/arxiv.1002.1869 · pith_short_12: CBBCW4VPKBGW · pith_short_16: CBBCW4VPKBGW4F6T · pith_short_8: CBBCW4VP

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/CBBCW4VPKBGW4F6T2VLGFV3ULQ \
  | 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: 10422b72af504d6e17d3d55662d7745c244d4e4c34cf184fa09e2a0b2eb0d6da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26d7ad837bc0de54b56007d499d976e54bbe5da68109b8ac4a83424ce894946e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-02-09T14:44:39Z",
    "title_canon_sha256": "46e9f6a629ba92c82224646c875ac2c3912f9b03ddc6b6b7ba4bfb5aef5285b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1869",
    "kind": "arxiv",
    "version": 3
  }
}