Pith Number

pith:B6DYK4RF

pith:2014:B6DYK4RFMEKSP6VYUYKUYBF6FS

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases and PBW theorems

L.A. Bokut, Yuqun Chen

arxiv:1502.06472 v1 · 2014-11-08 · 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{B6DYK4RFMEKSP6VYUYKUYBF6FS}

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	2026-05-18T02:26:37.274682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f87857225611527fab8a6154c04be2c837ea18472be9198dec84622e94632a2

Aliases

arxiv: 1502.06472 · arxiv_version: 1502.06472v1 · doi: 10.48550/arxiv.1502.06472 · pith_short_12: B6DYK4RFMEKS · pith_short_16: B6DYK4RFMEKSP6VY · pith_short_8: B6DYK4RF

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/B6DYK4RFMEKSP6VYUYKUYBF6FS \
  | 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: 0f87857225611527fab8a6154c04be2c837ea18472be9198dec84622e94632a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38695b96ae235bc365918cc456b685ab5e03f1183b8d066acfef32766964271a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-11-08T05:39:22Z",
    "title_canon_sha256": "ca2d8d8037b397f9d3fa6058bf2aa9928ee6240ee2e1637453a11c18df10fef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06472",
    "kind": "arxiv",
    "version": 1
  }
}