Pith Number

pith:OX27TQN5

pith:2012:OX27TQN55E3LJS6THF2YHGQXLG

not attested not anchored not stored refs pending

Non-commutative Krull monoids: A divisor theoretic approach and their arithmetic

Alfred Geroldinger

arxiv:1208.4202 v1 · 2012-08-21 · math.GR · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OX27TQN55E3LJS6THF2YHGQXLG}

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	2026-05-18T03:48:24.644037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f5f9c1bde936b4cbd33975839a1759aec025d7953dd3daf1c4cc7be4812dd4

Aliases

arxiv: 1208.4202 · arxiv_version: 1208.4202v1 · doi: 10.48550/arxiv.1208.4202 · pith_short_12: OX27TQN55E3L · pith_short_16: OX27TQN55E3LJS6T · pith_short_8: OX27TQN5

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/OX27TQN55E3LJS6THF2YHGQXLG \
  | 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: 75f5f9c1bde936b4cbd33975839a1759aec025d7953dd3daf1c4cc7be4812dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ecdddcb90bc086261c25bb10b0503fe7bfff9189bd513579dbc81c2ecb80fa1",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-08-21T06:52:48Z",
    "title_canon_sha256": "124daa9227669abfd5ff66ea565d4515d151c75b5198c97ca4434234bf26381e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4202",
    "kind": "arxiv",
    "version": 1
  }
}