Pith Number

pith:6IZCU5X2

pith:2018:6IZCU5X2LKRBILH2JST22K7ZKT

not attested not anchored not stored refs pending

Principally-injective Leavitt path algebras over arbitrary graphs

Ardeline M. Buhphang, Soumitra Das

arxiv:1807.06609 v1 · 2018-07-17 · 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{6IZCU5X2LKRBILH2JST22K7ZKT}

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	2026-05-18T00:10:27.406329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2322a76fa5aa2142cfa4ca7ad2bf954caba8fdb812b3296acea7ca769c86a7f

Aliases

arxiv: 1807.06609 · arxiv_version: 1807.06609v1 · doi: 10.48550/arxiv.1807.06609 · pith_short_12: 6IZCU5X2LKRB · pith_short_16: 6IZCU5X2LKRBILH2 · pith_short_8: 6IZCU5X2

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/6IZCU5X2LKRBILH2JST22K7ZKT \
  | 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: f2322a76fa5aa2142cfa4ca7ad2bf954caba8fdb812b3296acea7ca769c86a7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c274738f68f813589cdddda80a84a5a94754126a8d4b4e0afa1bf0780e8dac27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-07-17T18:14:39Z",
    "title_canon_sha256": "bf48c197f81ae076c181ac961851b930a3016d717c00428b8c452536ae5e3862"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06609",
    "kind": "arxiv",
    "version": 1
  }
}