Pith Number

pith:SWCBIUKV

pith:2017:SWCBIUKVXUMKZB44BDJ3KBY2LF

not attested not anchored not stored refs pending

On Radicals of Ore Extensions and Related Questions

Agata Smoktunowicz, Be'eri Greenfeld, Michal Ziembowski

arxiv:1702.08103 v4 · 2017-02-26 · 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{SWCBIUKVXUMKZB44BDJ3KBY2LF}

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	2026-05-18T00:04:24.169762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9584145155bd18ac879c08d3b5071a595ec1014d549904a2c387e5fd627d81fa

Aliases

arxiv: 1702.08103 · arxiv_version: 1702.08103v4 · doi: 10.48550/arxiv.1702.08103 · pith_short_12: SWCBIUKVXUMK · pith_short_16: SWCBIUKVXUMKZB44 · pith_short_8: SWCBIUKV

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/SWCBIUKVXUMKZB44BDJ3KBY2LF \
  | 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: 9584145155bd18ac879c08d3b5071a595ec1014d549904a2c387e5fd627d81fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15fd6ed47da503752b3757c61ece6cd07637eaa3ba1942b2e23dfe1a647fce4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-02-26T22:37:47Z",
    "title_canon_sha256": "eacaf5353a66ce712a215e7aa54098e9aa841e075ef0fd90b0572908213e77a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08103",
    "kind": "arxiv",
    "version": 4
  }
}