Pith Number

pith:XZ546IDV

pith:2019:XZ546IDVHIOA2YP6PIB5Z4SL7C

not attested not anchored not stored refs pending

Representations and the reduction theorem for ultragraph Leavitt path algebras

Daniel Gon\c{c}alves, Danilo Royer

arxiv:1902.00013 v1 · 2019-01-31 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ546IDVHIOA2YP6PIB5Z4SL7C}

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.

Cited by

1 paper in Pith

Irreducible and permutative representations of ultragraph Leavitt path algebras

Receipt and verification

First computed	2026-05-17T23:55:01.592200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7bcf20753a1c0d61fe7a03dcf24bf8ba92d4027e0a06d046686fd77203a715

Aliases

arxiv: 1902.00013 · arxiv_version: 1902.00013v1 · doi: 10.48550/arxiv.1902.00013 · pith_short_12: XZ546IDVHIOA · pith_short_16: XZ546IDVHIOA2YP6 · pith_short_8: XZ546IDV

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/XZ546IDVHIOA2YP6PIB5Z4SL7C \
  | 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: be7bcf20753a1c0d61fe7a03dcf24bf8ba92d4027e0a06d046686fd77203a715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f068348dae4d20d2f05e5e7d9349bcb23504908536c6ceb6c826c8af2eb445",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-01-31T11:35:30Z",
    "title_canon_sha256": "e9811cf88222fa36b7bf490887e91b75c43c0fe822ae78062d9eb2d4552de729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00013",
    "kind": "arxiv",
    "version": 1
  }
}