Pith Number

pith:Q5MIQROG

pith:2012:Q5MIQROGUTUM3SOAPCZ62BFZ3X

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for semirings

L. A. Bokut, Qiuhui Mo, Yuqun Chen

arxiv:1208.0538 v1 · 2012-07-20 · 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{Q5MIQROGUTUM3SOAPCZ62BFZ3X}

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	2026-05-18T03:26:32.449281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87588845c6a4e8cdc9c078b3ed04b9ddebd2c3209d5dcc3081fd6eb2c4baf489

Aliases

arxiv: 1208.0538 · arxiv_version: 1208.0538v1 · doi: 10.48550/arxiv.1208.0538 · pith_short_12: Q5MIQROGUTUM · pith_short_16: Q5MIQROGUTUM3SOA · pith_short_8: Q5MIQROG

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/Q5MIQROGUTUM3SOAPCZ62BFZ3X \
  | 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: 87588845c6a4e8cdc9c078b3ed04b9ddebd2c3209d5dcc3081fd6eb2c4baf489

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eade144bd5d93b1e90db829725826a8af14cdc99e16e443c2dfb8b35519de5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-07-20T07:33:07Z",
    "title_canon_sha256": "ef8f414a00bd543f20c2ee82b07df1ba7dcafd8b7c5f21bbf313ee16769d5330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0538",
    "kind": "arxiv",
    "version": 1
  }
}