Pith Number

pith:A5Y7PXE2

pith:2017:A5Y7PXE2XOCHGDOGGRVVR3AS4F

not attested not anchored not stored refs pending

Leavitt path algebras: Graded direct-finiteness and graded $\Sigma$-injective simple modules

Ashish K. Srivastava, Kulumani M. Rangaswamy, Roozbeh Hazrat

arxiv:1705.09217 v2 · 2017-05-25 · 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{A5Y7PXE2XOCHGDOGGRVVR3AS4F}

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	2026-05-18T00:32:32.494380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0771f7dc9abb84730dc6346b58ec12e15a95883fc1fb6900c993d20596ecea8a

Aliases

arxiv: 1705.09217 · arxiv_version: 1705.09217v2 · doi: 10.48550/arxiv.1705.09217 · pith_short_12: A5Y7PXE2XOCH · pith_short_16: A5Y7PXE2XOCHGDOG · pith_short_8: A5Y7PXE2

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/A5Y7PXE2XOCHGDOGGRVVR3AS4F \
  | 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: 0771f7dc9abb84730dc6346b58ec12e15a95883fc1fb6900c993d20596ecea8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f03bd16c79e530270b6c6e7d9908072d770bdeedea5bd7eafde075ede597c34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-25T15:13:36Z",
    "title_canon_sha256": "fc7b542ca802b3398ce65358d9c5a175f7bfb15507528a29559d0e7c8b2fb09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09217",
    "kind": "arxiv",
    "version": 2
  }
}