Pith Number

pith:BRR6XP76

pith:2013:BRR6XP76ZW2QA6JMFT7GPUPDUE

not attested not anchored not stored refs pending

Finitely presented simple modules over Leavitt path algebras

Kulumani M. Rangaswamy, Pere Ara

arxiv:1311.4332 v1 · 2013-11-18 · 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{BRR6XP76ZW2QA6JMFT7GPUPDUE}

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	2026-05-18T03:06:52.989471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c63ebbffecdb500792c2cfe67d1e3a133c86affd0ea8c80d04be69e8858bcf9

Aliases

arxiv: 1311.4332 · arxiv_version: 1311.4332v1 · doi: 10.48550/arxiv.1311.4332 · pith_short_12: BRR6XP76ZW2Q · pith_short_16: BRR6XP76ZW2QA6JM · pith_short_8: BRR6XP76

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/BRR6XP76ZW2QA6JMFT7GPUPDUE \
  | 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: 0c63ebbffecdb500792c2cfe67d1e3a133c86affd0ea8c80d04be69e8858bcf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8067965dd02f4f14a3b3e4a9890d64ae077226aec7a10facdca24f94085f6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-18T11:09:46Z",
    "title_canon_sha256": "06893da877cb6060df043c480a2003d21993579164c6f344ecd66c9ec4deaae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4332",
    "kind": "arxiv",
    "version": 1
  }
}