Pith Number

pith:WB4OPJW7

pith:2016:WB4OPJW7BAEYMBBLSJMRYPXUIF

not attested not anchored not stored refs pending

Extensions of associative and Lie algebras via Gr\"obner-Shirshov bases method

Jianjun Qiu, Yuqun Chen

arxiv:1603.01454 v1 · 2016-01-27 · 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{WB4OPJW7BAEYMBBLSJMRYPXUIF}

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	2026-05-18T01:19:35.983496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b078e7a6df080986042b92591c3ef4416cda372e9293c057afdb62c0b78ea5b4

Aliases

arxiv: 1603.01454 · arxiv_version: 1603.01454v1 · doi: 10.48550/arxiv.1603.01454 · pith_short_12: WB4OPJW7BAEY · pith_short_16: WB4OPJW7BAEYMBBL · pith_short_8: WB4OPJW7

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/WB4OPJW7BAEYMBBLSJMRYPXUIF \
  | 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: b078e7a6df080986042b92591c3ef4416cda372e9293c057afdb62c0b78ea5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867376874c94560241842e116f5cabda63413e76ef865ec10ed55e84dbec90ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-01-27T13:26:44Z",
    "title_canon_sha256": "ee30b45ca667f170cd40ecf45b71bc05af6c9e1f968b6b226d6bc64cee03775b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01454",
    "kind": "arxiv",
    "version": 1
  }
}