Pith Number

pith:NF63QPIS

pith:2013:NF63QPISCTMBSQFSZQHUY5KCAL

not attested not anchored not stored refs pending

The Leavitt path algebras of generalized Cayley graphs

Gene Abrams, Gonzalo Aranda Pino

arxiv:1310.4735 v1 · 2013-10-17 · 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{NF63QPISCTMBSQFSZQHUY5KCAL}

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	2026-05-18T03:10:12.981188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697db83d1214d81940b2cc0f4c754202f9b1d315b5df406330443ad19779ae8d

Aliases

arxiv: 1310.4735 · arxiv_version: 1310.4735v1 · doi: 10.48550/arxiv.1310.4735 · pith_short_12: NF63QPISCTMB · pith_short_16: NF63QPISCTMBSQFS · pith_short_8: NF63QPIS

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/NF63QPISCTMBSQFSZQHUY5KCAL \
  | 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: 697db83d1214d81940b2cc0f4c754202f9b1d315b5df406330443ad19779ae8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb94156a300d024993b9f714b44c569a35a3dfd0fe26da0872acc065047732b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-10-17T15:00:55Z",
    "title_canon_sha256": "7c972b0e058e6ea61fe58363a6b650d774f8bd3715c06ca0500d6a0092127a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4735",
    "kind": "arxiv",
    "version": 1
  }
}