Pith Number

pith:ATLLMZT6

pith:2013:ATLLMZT63RIBCKAUE2SKPHIYHJ

not attested not anchored not stored refs pending

Factorization of integer-valued polynomials with square-free denominator

Giulio Peruginelli

arxiv:1304.7526 v2 · 2013-04-28 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ATLLMZT63RIBCKAUE2SKPHIYHJ}

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	2026-05-18T00:04:24.552734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d6b6667edc5011281426a4a79d183a50ef096266ffef17e24775f13b0ab0c6

Aliases

arxiv: 1304.7526 · arxiv_version: 1304.7526v2 · doi: 10.48550/arxiv.1304.7526 · pith_short_12: ATLLMZT63RIB · pith_short_16: ATLLMZT63RIBCKAU · pith_short_8: ATLLMZT6

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/ATLLMZT63RIBCKAUE2SKPHIYHJ \
  | 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: 04d6b6667edc5011281426a4a79d183a50ef096266ffef17e24775f13b0ab0c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e08c84f55ea46f3a43cbd5ce2b7ee808fc9eea983a37032070412d85a835013b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-04-28T21:23:35Z",
    "title_canon_sha256": "88dc48c06b9186725c0adeebbb10be3e2ad3043feaf416a220e0089d1b19c102"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7526",
    "kind": "arxiv",
    "version": 2
  }
}