Pith Number

pith:4RKNSJJL

pith:2013:4RKNSJJL6WUZ4XF3KFFQ6MVIP5

not attested not anchored not stored refs pending

Extreme cycles. The center of a Leavitt path algebra

Candido Martin Gonzalez, Dolores Martin Barquero, Jos Felix Solanilla Hernandez, Maria Guadalupe Corrales Garcia, Mercedes Siles Molina

arxiv:1307.5252 v1 · 2013-07-19 · 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{4RKNSJJL6WUZ4XF3KFFQ6MVIP5}

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	2026-05-18T03:18:05.318709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e454d9252bf5a99e5cbb514b0f32a87f61a24772e050c42908b82a478c9b38fd

Aliases

arxiv: 1307.5252 · arxiv_version: 1307.5252v1 · doi: 10.48550/arxiv.1307.5252 · pith_short_12: 4RKNSJJL6WUZ · pith_short_16: 4RKNSJJL6WUZ4XF3 · pith_short_8: 4RKNSJJL

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/4RKNSJJL6WUZ4XF3KFFQ6MVIP5 \
  | 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: e454d9252bf5a99e5cbb514b0f32a87f61a24772e050c42908b82a478c9b38fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e167b140ce289e3b0a0f39d641ec45911fe4fe49955183a77b0dc9608a5d46b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-19T15:09:54Z",
    "title_canon_sha256": "c2d481d6910d437146c83631d6a81d503aeb8a57c72fb06ef5aa8aa0b9a282f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5252",
    "kind": "arxiv",
    "version": 1
  }
}