Pith Number

pith:GCQGOSEC

pith:2013:GCQGOSECIU2UVOKFTZQRHMPR2Y

not attested not anchored not stored refs pending

Primary decomposition of the ideal of polynomials whose fixed divisor is divisible by a prime power

Giulio Peruginelli

arxiv:1304.7450 v3 · 2013-04-28 · math.AC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCQGOSECIU2UVOKFTZQRHMPR2Y}

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	2026-05-18T00:04:24.560015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a067488245354ab9459e6113b1f1d6113e4e53995a9924c3fa7c6103e8d0e7

Aliases

arxiv: 1304.7450 · arxiv_version: 1304.7450v3 · doi: 10.48550/arxiv.1304.7450 · pith_short_12: GCQGOSECIU2U · pith_short_16: GCQGOSECIU2UVOKF · pith_short_8: GCQGOSEC

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/GCQGOSECIU2UVOKFTZQRHMPR2Y \
  | 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: 30a067488245354ab9459e6113b1f1d6113e4e53995a9924c3fa7c6103e8d0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8a0709587657222d4a6af3fdd5ae5fa9806f6cab6f8a21a0258c7de3a5ae52",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-28T10:22:07Z",
    "title_canon_sha256": "3e38abfaaa83799779797d81aee0cc9b436e0e983e51a0faf6ce0c1779661485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7450",
    "kind": "arxiv",
    "version": 3
  }
}