Pith Number

pith:LYUQAO53

pith:2014:LYUQAO53DWXYZOAYTMQUAQ5KNA

not attested not anchored not stored refs pending

Notes on Simple Modules over Leavitt Path Algebras

Kulumani M. Rangaswamy

arxiv:1401.6589 v1 · 2014-01-25 · 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{LYUQAO53DWXYZOAYTMQUAQ5KNA}

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	2026-05-18T03:01:01.249773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e29003bbb1daf8cb8189b214043aa68082ab7cefc71445d1dd4eb0bc85ad485

Aliases

arxiv: 1401.6589 · arxiv_version: 1401.6589v1 · doi: 10.48550/arxiv.1401.6589 · pith_short_12: LYUQAO53DWXY · pith_short_16: LYUQAO53DWXYZOAY · pith_short_8: LYUQAO53

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/LYUQAO53DWXYZOAYTMQUAQ5KNA \
  | 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: 5e29003bbb1daf8cb8189b214043aa68082ab7cefc71445d1dd4eb0bc85ad485

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9702485f34de447dbf797c59ac84bf8ec665341913cd2a9d1180135f3c5183",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-01-25T22:28:24Z",
    "title_canon_sha256": "3237e29f85df4eeff77528dbb631275d4fa45a79f934f95b505040d0088663f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6589",
    "kind": "arxiv",
    "version": 1
  }
}