Pith Number

pith:REC36PZM

pith:2016:REC36PZM4DMLI7LRIMHSFGS3WW

not attested not anchored not stored refs pending

A criterion for Leavitt path algebras having invariant basis number

N. T. Phuc, T. G. Nam

arxiv:1606.04607 v1 · 2016-06-15 · 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{REC36PZM4DMLI7LRIMHSFGS3WW}

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	2026-05-18T01:12:24.707329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8905bf3f2ce0d8b47d71430f229a5bb5a4e7e89076defc4cc3d7196b3da455dd

Aliases

arxiv: 1606.04607 · arxiv_version: 1606.04607v1 · doi: 10.48550/arxiv.1606.04607 · pith_short_12: REC36PZM4DML · pith_short_16: REC36PZM4DMLI7LR · pith_short_8: REC36PZM

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/REC36PZM4DMLI7LRIMHSFGS3WW \
  | 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: 8905bf3f2ce0d8b47d71430f229a5bb5a4e7e89076defc4cc3d7196b3da455dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec506f9ebccc316298b99f72778d3f882c5798a456902384694ee56bb3fea240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-06-15T01:21:59Z",
    "title_canon_sha256": "f91f6bd78977eb565cb5bb9b57f181e5c1d8d1b1ffaab94dcafaf0afcfb754be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04607",
    "kind": "arxiv",
    "version": 1
  }
}