Pith Number

pith:LY3WYKN5

pith:2008:LY3WYKN5ZUPLHMQK76KZRHBTA3

not attested not anchored not stored refs pending

On minimal extensions of rings

Thomas J. Dorsey, Zachary Mesyan

arxiv:0805.3370 v1 · 2008-05-21 · 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{LY3WYKN5ZUPLHMQK76KZRHBTA3}

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	2026-05-18T04:11:49.782885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e376c29bdcd1eb3b20aff95989c3306ef56894271ddcefa77e5520d8bcf4aa3

Aliases

arxiv: 0805.3370 · arxiv_version: 0805.3370v1 · doi: 10.48550/arxiv.0805.3370 · pith_short_12: LY3WYKN5ZUPL · pith_short_16: LY3WYKN5ZUPLHMQK · pith_short_8: LY3WYKN5

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/LY3WYKN5ZUPLHMQK76KZRHBTA3 \
  | 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: 5e376c29bdcd1eb3b20aff95989c3306ef56894271ddcefa77e5520d8bcf4aa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8805cc2fb7978c50f35be115695788fab706531724b3e234492cf154e7bfe1d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-05-21T23:45:08Z",
    "title_canon_sha256": "8b8b7809b7d3b30dbc5a0cb6680915cd4ded58e22d4dab128ad1c2d119c1fda7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3370",
    "kind": "arxiv",
    "version": 1
  }
}