Pith Number

pith:OLOFUCG7

pith:2025:OLOFUCG7NKDZSCNUBETPRMPZIU

not attested not anchored not stored refs pending

On BD-algebra and CM-Auslander algebra for a gentle algebra and their representation types

Chao Zhang, Mengdie Zhang, Yu-Zhe Liu

arxiv:2505.00072 v1 · 2025-04-30 · 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{OLOFUCG7NKDZSCNUBETPRMPZIU}

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	2026-07-05T10:56:41.396998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72dc5a08df6a879909b40926f8b1f94510f969c5ffdbaafe119856ed6e1874a7

Aliases

arxiv: 2505.00072 · arxiv_version: 2505.00072v1 · doi: 10.48550/arxiv.2505.00072 · pith_short_12: OLOFUCG7NKDZ · pith_short_16: OLOFUCG7NKDZSCNU · pith_short_8: OLOFUCG7

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/OLOFUCG7NKDZSCNUBETPRMPZIU \
  | 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: 72dc5a08df6a879909b40926f8b1f94510f969c5ffdbaafe119856ed6e1874a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fffd6522c2093fa4fd1004111affb451b0d649af63478b949bfc9c4dfcd3c610",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-04-30T18:00:01Z",
    "title_canon_sha256": "0db22f0eaa02dd1f5215876dbedc644a744d3818ff6a74979e508e1c747b5200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.00072",
    "kind": "arxiv",
    "version": 1
  }
}