Pith Number

pith:UMTEXTQP

pith:2011:UMTEXTQPAJSN2DEOBDXE4A64MC

not attested not anchored not stored refs pending

Maximal commutative subrings and simplicity of Ore extensions

Johan \"Oinert, Johan Richter, Sergei D. Silvestrov

arxiv:1111.1292 v2 · 2011-11-05 · 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{UMTEXTQPAJSN2DEOBDXE4A64MC}

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	2026-05-18T02:59:06.666689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3264bce0f0264dd0c8e08ee4e03dc60a605c878fed540ce18f563e7a8953adf

Aliases

arxiv: 1111.1292 · arxiv_version: 1111.1292v2 · doi: 10.48550/arxiv.1111.1292 · pith_short_12: UMTEXTQPAJSN · pith_short_16: UMTEXTQPAJSN2DEO · pith_short_8: UMTEXTQP

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/UMTEXTQPAJSN2DEOBDXE4A64MC \
  | 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: a3264bce0f0264dd0c8e08ee4e03dc60a605c878fed540ce18f563e7a8953adf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9015bce529164fc414e1951c1e532d91905bb5ca7c1c4eb8c02bda62b97e869f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-05T10:03:54Z",
    "title_canon_sha256": "7d8cef804a85448f8ecea9fa01ca07c58d373f463c73486b75462235ba0a5401"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1292",
    "kind": "arxiv",
    "version": 2
  }
}