Pith Number

pith:R7IXVXQP

pith:2013:R7IXVXQPPEEU5ME6YGIIBWJH2T

not attested not anchored not stored refs pending

The largest strong left quotient ring of a ring

V. V. Bavula

arxiv:1310.1077 v3 · 2013-10-03 · math.RA · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7IXVXQPPEEU5ME6YGIIBWJH2T}

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	2026-05-18T02:03:55.795412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fd17ade0f79094eb09ec19080d927d4df11c4bd0a68bb93d285bed7b18a9bf5

Aliases

arxiv: 1310.1077 · arxiv_version: 1310.1077v3 · doi: 10.48550/arxiv.1310.1077 · pith_short_12: R7IXVXQPPEEU · pith_short_16: R7IXVXQPPEEU5ME6 · pith_short_8: R7IXVXQP

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/R7IXVXQPPEEU5ME6YGIIBWJH2T \
  | 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: 8fd17ade0f79094eb09ec19080d927d4df11c4bd0a68bb93d285bed7b18a9bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9129a83f4b7715b3c3c0910392a88a44c5fb275d070b839d097f7dc4ee8430d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-10-03T19:54:17Z",
    "title_canon_sha256": "35350898a52f38b63601f7456eb23439a030c0986ac6a3e2707a5fcb0f4eeeef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1077",
    "kind": "arxiv",
    "version": 3
  }
}