Pith Number

pith:SEAIUTGS

pith:2010:SEAIUTGS5F7PNINE7OLV3OE5P2

not attested not anchored not stored refs pending

Zariski Topologies for Coprime and Second Submodules

Jawad Abuhlail

arxiv:1008.4164 v2 · 2010-08-24 · math.RA · math.AC · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SEAIUTGS5F7PNINE7OLV3OE5P2}

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	2026-05-18T04:30:04.561125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91008a4cd2e97ef6a1a4fb975db89d7ebce26f07cfd2441e8c2b5991befda530

Aliases

arxiv: 1008.4164 · arxiv_version: 1008.4164v2 · doi: 10.48550/arxiv.1008.4164 · pith_short_12: SEAIUTGS5F7P · pith_short_16: SEAIUTGS5F7PNINE · pith_short_8: SEAIUTGS

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/SEAIUTGS5F7PNINE7OLV3OE5P2 \
  | 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: 91008a4cd2e97ef6a1a4fb975db89d7ebce26f07cfd2441e8c2b5991befda530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95b579eb1be8e8798f617686383189e8e91aff8f0b8a4396e91fc1646163197",
    "cross_cats_sorted": [
      "math.AC",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-08-24T21:52:34Z",
    "title_canon_sha256": "fe2b54a4f3181781a7e6582c73f4300bc370164cff3a29251d8f32cbf9f267a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4164",
    "kind": "arxiv",
    "version": 2
  }
}