Pith Number

pith:DFR4IQKC

pith:2018:DFR4IQKCZZ2DMFMYLGSVKWPVZG

not attested not anchored not stored refs pending

Radical factorization in commutative rings, monoids and multiplicative lattices

Andreas Reinhart, Bruce Olberding

arxiv:1811.00242 v2 · 2018-11-01 · 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{DFR4IQKCZZ2DMFMYLGSVKWPVZG}

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	2026-05-17T23:42:42.842500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1963c44142ce7436159859a55559f5c9ad144b3c06c7396a579d2e56508f9086

Aliases

arxiv: 1811.00242 · arxiv_version: 1811.00242v2 · doi: 10.48550/arxiv.1811.00242 · pith_short_12: DFR4IQKCZZ2D · pith_short_16: DFR4IQKCZZ2DMFMY · pith_short_8: DFR4IQKC

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/DFR4IQKCZZ2DMFMYLGSVKWPVZG \
  | 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: 1963c44142ce7436159859a55559f5c9ad144b3c06c7396a579d2e56508f9086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "202141fba2a7e40383f7183ecaff80dcbf5f4d36b2072df31e98950a702f0006",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-11-01T05:33:23Z",
    "title_canon_sha256": "9425304915edc7a37bb22e97b1b7af0c9cba886ae32db413cb094757dcad0a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.00242",
    "kind": "arxiv",
    "version": 2
  }
}