Pith Number

pith:L6QIAJEK

pith:2012:L6QIAJEKIZWGRME5TNOI5PD7NH

not attested not anchored not stored refs pending

A classification of algebras stratified for all preorders by Koszul theory

Liping Li

arxiv:1202.2479 v2 · 2012-02-11 · math.RT · 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{L6QIAJEKIZWGRME5TNOI5PD7NH}

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	2026-05-18T03:58:39.336714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fa080248a466c68b09d9b5c8ebc7f69f509312136074bc2fb0444a4bd21f0fd

Aliases

arxiv: 1202.2479 · arxiv_version: 1202.2479v2 · doi: 10.48550/arxiv.1202.2479 · pith_short_12: L6QIAJEKIZWG · pith_short_16: L6QIAJEKIZWGRME5 · pith_short_8: L6QIAJEK

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/L6QIAJEKIZWGRME5TNOI5PD7NH \
  | 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: 5fa080248a466c68b09d9b5c8ebc7f69f509312136074bc2fb0444a4bd21f0fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a97d857f2036bad65d33acb5f9a44ccdfa5ac5252569836c141879ca00624f",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-11T23:33:21Z",
    "title_canon_sha256": "1e8167fc004debaacc52771be2fc7600fe0b47e11f251d21c995583a53f2a121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2479",
    "kind": "arxiv",
    "version": 2
  }
}