Pith Number

pith:PL6VH2F7

pith:2022:PL6VH2F7W2WAIPYFZYOEMZXGR4

not attested not anchored not stored refs pending

Factorization in the Monoid of Integrally Closed Ideals

Emmy Lewis

arxiv:2211.08391 v1 · 2022-11-15 · 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{PL6VH2F7W2WAIPYFZYOEMZXGR4}

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	2026-07-05T05:16:28.784132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afd53e8bfb6ac043f05ce1c4666e68f256187ab39cc550a568fca5dee91db7b

Aliases

arxiv: 2211.08391 · arxiv_version: 2211.08391v1 · doi: 10.48550/arxiv.2211.08391 · pith_short_12: PL6VH2F7W2WA · pith_short_16: PL6VH2F7W2WAIPYF · pith_short_8: PL6VH2F7

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/PL6VH2F7W2WAIPYFZYOEMZXGR4 \
  | 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: 7afd53e8bfb6ac043f05ce1c4666e68f256187ab39cc550a568fca5dee91db7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5edd26d65328e2bf10d78369c299890a99bed651694e63f17bdaecc653e5fa30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2022-11-15T18:38:38Z",
    "title_canon_sha256": "70df74c1751fc5eca5dbca34da89236e4f7879bf330815155cbe4b46dcb30831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08391",
    "kind": "arxiv",
    "version": 1
  }
}