Pith Number

pith:2W74SXC2

pith:2014:2W74SXC2RWRNK7AZ52PUDPK3DG

not attested not anchored not stored refs pending

Extensions of simple modules over Leavitt path algebras

Alberto Tonolo, Francesca Mantese, Gene Abrams

arxiv:1408.3580 v2 · 2014-08-15 · 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{2W74SXC2RWRNK7AZ52PUDPK3DG}

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	2026-05-18T02:29:10.741452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5bfc95c5a8da2d57c19ee9f41bd5b19b60fe2d1f094eb1c450c89977fe2f857

Aliases

arxiv: 1408.3580 · arxiv_version: 1408.3580v2 · doi: 10.48550/arxiv.1408.3580 · pith_short_12: 2W74SXC2RWRN · pith_short_16: 2W74SXC2RWRNK7AZ · pith_short_8: 2W74SXC2

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/2W74SXC2RWRNK7AZ52PUDPK3DG \
  | 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: d5bfc95c5a8da2d57c19ee9f41bd5b19b60fe2d1f094eb1c450c89977fe2f857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321c22c9d7ee1d0c0a3517e4edbdad4994880f170e9c7a7206aff62d4695947c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-08-15T16:10:23Z",
    "title_canon_sha256": "afae585d47a9909292331b214b7f932a3b60e303600e4dfd67b45a96d46bef59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3580",
    "kind": "arxiv",
    "version": 2
  }
}