Pith Number

pith:QQQX6RYB

pith:2011:QQQX6RYB3JUEBFHKEQEEA4RMY3

not attested not anchored not stored refs pending

The largest left quotient ring of a ring

V. V. Bavula

arxiv:1101.5107 v1 · 2011-01-26 · 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{QQQX6RYB3JUEBFHKEQEEA4RMY3}

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	2026-05-18T04:30:46.814932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84217f4701da684094ea240840722cc6e9bcfe4facba850baf4490f282b9222a

Aliases

arxiv: 1101.5107 · arxiv_version: 1101.5107v1 · doi: 10.48550/arxiv.1101.5107 · pith_short_12: QQQX6RYB3JUE · pith_short_16: QQQX6RYB3JUEBFHK · pith_short_8: QQQX6RYB

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/QQQX6RYB3JUEBFHKEQEEA4RMY3 \
  | 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: 84217f4701da684094ea240840722cc6e9bcfe4facba850baf4490f282b9222a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c0b2ab51d7ba9f17bc320eb2a31c8cb4b1892d15b3607e6bc4325b5cd47884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-26T17:03:53Z",
    "title_canon_sha256": "37cac3b13780dd23fe46db095134a17e63f9e85af703607e3cd31e3945b45dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5107",
    "kind": "arxiv",
    "version": 1
  }
}