Pith Number

pith:6IORASOP

pith:2011:6IORASOPIQS5XEYPYDJFNC6JZZ

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for categories

L. A. Bokut, Yu Li, Yuqun Chen

arxiv:1101.1563 v1 · 2011-01-08 · 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{6IORASOPIQS5XEYPYDJFNC6JZZ}

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	2026-05-18T03:50:37.731052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21d1049cf4425db930fc0d2568bc9ce71fce24ce39098cdce1fe1dead091238

Aliases

arxiv: 1101.1563 · arxiv_version: 1101.1563v1 · doi: 10.48550/arxiv.1101.1563 · pith_short_12: 6IORASOPIQS5 · pith_short_16: 6IORASOPIQS5XEYP · pith_short_8: 6IORASOP

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/6IORASOPIQS5XEYPYDJFNC6JZZ \
  | 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: f21d1049cf4425db930fc0d2568bc9ce71fce24ce39098cdce1fe1dead091238

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34813b509135ab94d2d6b10037d19c2a8739e99182173b94d8475f4c8ad44e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-01-08T01:20:51Z",
    "title_canon_sha256": "f9463e05bb02350b3e6f64b702a87461b10477e56489bd8dc281b3ea5d2e8b00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1563",
    "kind": "arxiv",
    "version": 1
  }
}