Pith Number

pith:VW7ZWLLT

pith:2012:VW7ZWLLTLJHAXENECMIBFODTO7

not attested not anchored not stored refs pending

On Shirshov bases of graded algebras

Fedor Petrov, Pasha Zusmanovich

arxiv:1201.5837 v2 · 2012-01-27 · math.RA · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW7ZWLLTLJHAXENECMIBFODTO7}

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	2026-05-18T03:02:43.992669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbf9b2d735a4e0b91a4131012b87377f759608957efbc280cf47c5c0dd7f8d1

Aliases

arxiv: 1201.5837 · arxiv_version: 1201.5837v2 · doi: 10.48550/arxiv.1201.5837 · pith_short_12: VW7ZWLLTLJHA · pith_short_16: VW7ZWLLTLJHAXENE · pith_short_8: VW7ZWLLT

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/VW7ZWLLTLJHAXENECMIBFODTO7 \
  | 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: adbf9b2d735a4e0b91a4131012b87377f759608957efbc280cf47c5c0dd7f8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab11e2e32a2097a451b1fc9abae036995253471c7b4c85a92a049351102f0ff",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-27T17:13:36Z",
    "title_canon_sha256": "20ffae3a7c8e594e14dda8ad08a472a25c4afc7192af0f81c055c38209afc638"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5837",
    "kind": "arxiv",
    "version": 2
  }
}