Pith Number

pith:HR2QK6AH

pith:2018:HR2QK6AH7JFHCVJFM6MSLB52M3

not attested not anchored not stored refs pending

Commutators and Anti-Commutators of Idempotents in Rings

Dinesh Khurana, T. Y. Lam

arxiv:1808.02308 v1 · 2018-08-07 · 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{HR2QK6AH7JFHCVJFM6MSLB52M3}

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.

Cited by

1 paper in Pith

Commutators of finite multiplicative order

Receipt and verification

First computed	2026-05-18T00:06:15.940336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c75057807fa4a71552567992587ba66f2c06aaac7281e137bff3e85ef549e93

Aliases

arxiv: 1808.02308 · arxiv_version: 1808.02308v1 · doi: 10.48550/arxiv.1808.02308 · pith_short_12: HR2QK6AH7JFH · pith_short_16: HR2QK6AH7JFHCVJF · pith_short_8: HR2QK6AH

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/HR2QK6AH7JFHCVJFM6MSLB52M3 \
  | 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: 3c75057807fa4a71552567992587ba66f2c06aaac7281e137bff3e85ef549e93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59fad8e9e0a4e1537d5a77112d07094f31fb3dc6e64145417f6c0a1c504d41fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-08-07T11:34:56Z",
    "title_canon_sha256": "cb880972023219b7c2618762e53d3d9a723e65ae77028940373db10dcae01ca3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02308",
    "kind": "arxiv",
    "version": 1
  }
}