Pith Number

pith:24OYAVF7

pith:2013:24OYAVF774UPFT3VT4XWCNXK2W

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases and their calculation

L.A. Bokut, Yuqun Chen

arxiv:1303.5366 v3 · 2013-03-19 · 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{24OYAVF774UPFT3VT4XWCNXK2W}

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	2026-05-18T01:21:49.590456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71d8054bfff28f2cf759f2f6136ead5ba4093fdac5d4feeb7b3af721c79010a

Aliases

arxiv: 1303.5366 · arxiv_version: 1303.5366v3 · doi: 10.48550/arxiv.1303.5366 · pith_short_12: 24OYAVF774UP · pith_short_16: 24OYAVF774UPFT3V · pith_short_8: 24OYAVF7

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/24OYAVF774UPFT3VT4XWCNXK2W \
  | 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: d71d8054bfff28f2cf759f2f6136ead5ba4093fdac5d4feeb7b3af721c79010a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84842cbe4861aaff8e6aa8f672871395ea38e25b9c61a4a314a721c4c9446278",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-03-19T10:18:37Z",
    "title_canon_sha256": "40fa253292c9baf60efa817cc4bf2154b3d7ea1b33da01b7962c1b08c5b1b0e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.5366",
    "kind": "arxiv",
    "version": 3
  }
}