Pith Number

pith:YK2HVHTZ

pith:2009:YK2HVHTZUTTR3ED5RQ52747LRY

not attested not anchored not stored refs pending

Non-unique factorization of polynomials over residue class rings of the integers

Christopher Frei, Sophie Frisch

arxiv:0907.0657 v2 · 2009-07-03 · math.NT · 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{YK2HVHTZUTTR3ED5RQ52747LRY}

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	2026-05-18T04:26:33.404373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2b47a9e79a4e71d907d8c3baff3eb8e02bc23e895d99a32ca96931da291b539

Aliases

arxiv: 0907.0657 · arxiv_version: 0907.0657v2 · doi: 10.48550/arxiv.0907.0657 · pith_short_12: YK2HVHTZUTTR · pith_short_16: YK2HVHTZUTTR3ED5 · pith_short_8: YK2HVHTZ

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/YK2HVHTZUTTR3ED5RQ52747LRY \
  | 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: c2b47a9e79a4e71d907d8c3baff3eb8e02bc23e895d99a32ca96931da291b539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f0f8af363e8a183e1be97be8ba6628e16c86bddc991c2817783d615996e7bc",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-03T15:45:40Z",
    "title_canon_sha256": "a6a658bf9fc221494e8713b9a5cc22179ffc560d174881943f8f1babf473c5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0657",
    "kind": "arxiv",
    "version": 2
  }
}