Pith Number

pith:ZRNQ54BL

pith:2025:ZRNQ54BL7N6CCHRPNTF4LDBY72

not attested not anchored not stored refs pending

Families of Green rings for abelian restricted Lie algebras

Justin Bloom

arxiv:2506.02388 v1 · 2025-06-03 · 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{ZRNQ54BL7N6CCHRPNTF4LDBY72}

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	2026-07-05T11:14:37.920744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc5b0ef02bfb7c211e2f6ccbc58c38fea47cc6f6de546e8f795d68f48ba09ac0

Aliases

arxiv: 2506.02388 · arxiv_version: 2506.02388v1 · doi: 10.48550/arxiv.2506.02388 · pith_short_12: ZRNQ54BL7N6C · pith_short_16: ZRNQ54BL7N6CCHRP · pith_short_8: ZRNQ54BL

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/ZRNQ54BL7N6CCHRPNTF4LDBY72 \
  | 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: cc5b0ef02bfb7c211e2f6ccbc58c38fea47cc6f6de546e8f795d68f48ba09ac0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8bf6c24b72e4f35190dd333fd3343b8560e0e741345c7930cd8e8ccce0f2345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-06-03T02:58:52Z",
    "title_canon_sha256": "c4cd2a8346e75bece789344636618b82a986a7dc09ac321c78cc3e1e29cac309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02388",
    "kind": "arxiv",
    "version": 1
  }
}