Pith Number

pith:LRULBQ4F

pith:2008:LRULBQ4FNVG5APCXNDXDBGA4QE

not attested not anchored not stored refs pending

Koszul duality for stratified algebras II. Standardly stratified algebras

Volodymyr Mazorchuk

arxiv:0812.4120 v3 · 2008-12-22 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRULBQ4FNVG5APCXNDXDBGA4QE}

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	2026-05-18T02:51:49.822946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c68b0c3856d4dd03c5768ee30981c8102f24fc1371417b243bbdbaabfd6948d

Aliases

arxiv: 0812.4120 · arxiv_version: 0812.4120v3 · doi: 10.48550/arxiv.0812.4120 · pith_short_12: LRULBQ4FNVG5 · pith_short_16: LRULBQ4FNVG5APCX · pith_short_8: LRULBQ4F

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/LRULBQ4FNVG5APCXNDXDBGA4QE \
  | 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: 5c68b0c3856d4dd03c5768ee30981c8102f24fc1371417b243bbdbaabfd6948d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277d0832b1ea1fce9ae94060e3182e89db347769d5faa03b7337ad1c530ef864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-12-22T08:42:11Z",
    "title_canon_sha256": "38c5682a28954851a45071973e9e24b9243346231c096943654dba6be269941d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.4120",
    "kind": "arxiv",
    "version": 3
  }
}