Pith Number

pith:47N2YWGT

pith:2011:47N2YWGTRJMGM2PPTJ4BWYSES3

not attested not anchored not stored refs pending

The Theory of Prime Ideals of Leavitt Path Algebras over Arbitrary Graphs

Kulumani M. Rangaswamy

arxiv:1106.4766 v1 · 2011-06-23 · 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{47N2YWGTRJMGM2PPTJ4BWYSES3}

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	2026-05-18T04:19:23.705951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dbac58d38a586669ef9a781b624496c28236fb26b351a26a4a78c219cc19b7

Aliases

arxiv: 1106.4766 · arxiv_version: 1106.4766v1 · doi: 10.48550/arxiv.1106.4766 · pith_short_12: 47N2YWGTRJMG · pith_short_16: 47N2YWGTRJMGM2PP · pith_short_8: 47N2YWGT

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/47N2YWGTRJMGM2PPTJ4BWYSES3 \
  | 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: e7dbac58d38a586669ef9a781b624496c28236fb26b351a26a4a78c219cc19b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac1bd3facb32e01858f52b95fb0ae28dc2f5d340068fc539836339e02e5e7054",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-23T16:21:32Z",
    "title_canon_sha256": "1df0d8852f4f9f8f9f405cf1548bd427ffabc414be9d01e3f9e01741f6959bb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4766",
    "kind": "arxiv",
    "version": 1
  }
}