Pith Number

pith:XN6R6XXS

pith:2010:XN6R6XXSZMCLHS6KIY4ERDXEKM

not attested not anchored not stored refs pending

Grobner-Shirshov bases for plactic algebras

Jan Okninski, Lukasz Kubat

arxiv:1010.3338 v1 · 2010-10-16 · 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{XN6R6XXSZMCLHS6KIY4ERDXEKM}

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	2026-05-18T04:39:09.409608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7d1f5ef2cb04b3cbca4638488ee45317c3e730bc60cdecf365a753cdf95204

Aliases

arxiv: 1010.3338 · arxiv_version: 1010.3338v1 · doi: 10.48550/arxiv.1010.3338 · pith_short_12: XN6R6XXSZMCL · pith_short_16: XN6R6XXSZMCLHS6K · pith_short_8: XN6R6XXS

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/XN6R6XXSZMCLHS6KIY4ERDXEKM \
  | 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: bb7d1f5ef2cb04b3cbca4638488ee45317c3e730bc60cdecf365a753cdf95204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e97ce56da8dffe5a7b816c9e5c84c4ee0339ed36dfa6c58ec20b13d5fb17fc5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-10-16T11:06:18Z",
    "title_canon_sha256": "59a38812edd93bc6b6c956da3bea8479b64e05f2ed95695ea3e9e8a1158b4b78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3338",
    "kind": "arxiv",
    "version": 1
  }
}