Pith Number

pith:BGDZCF62

pith:2009:BGDZCF62TU6J5USXGFXEIAQCTT

not attested not anchored not stored refs pending

$K$-theory of Leavitt path algebras

Guillermo Corti\~nas, Miquel Brustenga, Pere Ara

arxiv:0903.0056 v2 · 2009-02-28 · 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{BGDZCF62TU6J5USXGFXEIAQCTT}

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	2026-05-18T04:16:31.006858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09879117da9d3c9ed257316e4402029ce111c6f964271619281f576f094f56e6

Aliases

arxiv: 0903.0056 · arxiv_version: 0903.0056v2 · doi: 10.48550/arxiv.0903.0056 · pith_short_12: BGDZCF62TU6J · pith_short_16: BGDZCF62TU6J5USX · pith_short_8: BGDZCF62

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/BGDZCF62TU6J5USXGFXEIAQCTT \
  | 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: 09879117da9d3c9ed257316e4402029ce111c6f964271619281f576f094f56e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1b9ed3038dbb45cb3d8bd4c225b0cd9b467b5db938f9442d0f3dfd80ef4106",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-02-28T09:25:42Z",
    "title_canon_sha256": "147adb83956ceae36e2e24723da84d81ab32358eb363c3586b9e200fb122fa98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0056",
    "kind": "arxiv",
    "version": 2
  }
}