Pith Number

pith:I4YXOYLF

pith:2023:I4YXOYLFI53CAEJX4JTTQROOCP

not attested not anchored not stored refs pending

Dimension vectors of elementary modules of generalized Kronecker quivers

Jie Liu

arxiv:2304.04182 v1 · 2023-04-09 · 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{I4YXOYLFI53CAEJX4JTTQROOCP}

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	2026-07-05T05:59:13.011488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47317761654776201137e2673845ce13e70615b8831000be167087336663127b

Aliases

arxiv: 2304.04182 · arxiv_version: 2304.04182v1 · doi: 10.48550/arxiv.2304.04182 · pith_short_12: I4YXOYLFI53C · pith_short_16: I4YXOYLFI53CAEJX · pith_short_8: I4YXOYLF

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/I4YXOYLFI53CAEJX4JTTQROOCP \
  | 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: 47317761654776201137e2673845ce13e70615b8831000be167087336663127b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defa34eab0aa2d3791e0b9b09bd1aa49465cf5ba4a00346882f109c86e2fbc88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2023-04-09T07:51:10Z",
    "title_canon_sha256": "4e8718d0de4cd7cc2291ae46f09f1ab20da87ff4390db598221d06dbb58fb791"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.04182",
    "kind": "arxiv",
    "version": 1
  }
}