Pith Number

pith:PTQDCJXK

pith:2010:PTQDCJXK4KNKIW65FPZPEEP3FM

not attested not anchored not stored refs pending

Leavitt path algebras of separated graphs

K. R. Goodearl, P. Ara

arxiv:1004.4979 v2 · 2010-04-28 · math.RA · math.KT · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTQDCJXK4KNKIW65FPZPEEP3FM}

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	2026-05-18T02:24:15.542043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce03126eae29aa45bdd2bf2f211fb2b1a2774393ea86e90f1ee16aa487285b8

Aliases

arxiv: 1004.4979 · arxiv_version: 1004.4979v2 · doi: 10.48550/arxiv.1004.4979 · pith_short_12: PTQDCJXK4KNK · pith_short_16: PTQDCJXK4KNKIW65 · pith_short_8: PTQDCJXK

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/PTQDCJXK4KNKIW65FPZPEEP3FM \
  | 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: 7ce03126eae29aa45bdd2bf2f211fb2b1a2774393ea86e90f1ee16aa487285b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b65608f7a547f4d367037d2eca0a2220aac5e9f6ff9f6211fcd131af7ad4a13a",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-04-28T09:04:41Z",
    "title_canon_sha256": "1cdf427a110883dba834f419e58e84da087876f12e27291db8f49bda84eac45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4979",
    "kind": "arxiv",
    "version": 2
  }
}