Pith Number

pith:M75RLZCJ

pith:2013:M75RLZCJK7X44J7LHHS6Z7A5SN

not attested not anchored not stored refs pending

Leavitt path algebras with at most countably many irreducible representatios

Kulumani M. Rangaswamy, Pere Ara

arxiv:1309.7917 v2 · 2013-09-30 · 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{M75RLZCJK7X44J7LHHS6Z7A5SN}

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	2026-05-18T02:49:03.282949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67fb15e44957efce27eb39e5ecfc1d9361340c16042c504aaf8bd1daa8a43cc6

Aliases

arxiv: 1309.7917 · arxiv_version: 1309.7917v2 · doi: 10.48550/arxiv.1309.7917 · pith_short_12: M75RLZCJK7X4 · pith_short_16: M75RLZCJK7X44J7L · pith_short_8: M75RLZCJ

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/M75RLZCJK7X44J7LHHS6Z7A5SN \
  | 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: 67fb15e44957efce27eb39e5ecfc1d9361340c16042c504aaf8bd1daa8a43cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c9107630fbdc5c2e216ab055085ffcd86a3c87048fdf0e37a649c3d7a19a80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-09-30T16:58:01Z",
    "title_canon_sha256": "84390d232d713fcf72993f4bfd00c2482a407b93d6e8e40fc1d7844cbc45b8f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7917",
    "kind": "arxiv",
    "version": 2
  }
}