Pith Number

pith:RU6KPHTA

pith:2019:RU6KPHTANULNBJBKJUULPD5L5L

not attested not anchored not stored refs pending

Gr\"obner--Shirshov bases for commutative dialgebras

Guangliang Zhang, Yuqun Chen

arxiv:1907.06680 v1 · 2019-07-11 · 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{RU6KPHTANULNBJBKJUULPD5L5L}

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	2026-05-17T23:40:29.433091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d3ca79e606d16d0a42a4d28b78fabeaf722b930ebcdf6e705352f3cde7e9852

Aliases

arxiv: 1907.06680 · arxiv_version: 1907.06680v1 · doi: 10.48550/arxiv.1907.06680 · pith_short_12: RU6KPHTANULN · pith_short_16: RU6KPHTANULNBJBK · pith_short_8: RU6KPHTA

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/RU6KPHTANULNBJBKJUULPD5L5L \
  | 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: 8d3ca79e606d16d0a42a4d28b78fabeaf722b930ebcdf6e705352f3cde7e9852

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8127b904415c80d72c8cfe59040e4e8eb1c127aaed100961b8646073f222726f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-07-11T07:32:19Z",
    "title_canon_sha256": "b0703b7ba41cbf25c9569599c8223d1349a7cf16f5c1d507f3cc2e51ab2402a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06680",
    "kind": "arxiv",
    "version": 1
  }
}