Pith Number

pith:AX4WIVXP

pith:2012:AX4WIVXPOHVSW2CT54YH45JKLB

not attested not anchored not stored refs pending

Ideal-related K-theory for Leavitt path algebras and graph C*-algebras

Efren Ruiz, Mark Tomforde

arxiv:1207.5527 v3 · 2012-07-23 · math.OA · 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{AX4WIVXPOHVSW2CT54YH45JKLB}

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	2026-05-18T03:38:32.827433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f96456ef71eb2b6853ef307e752a5872eb0246a1912a12f51e112c57085099

Aliases

arxiv: 1207.5527 · arxiv_version: 1207.5527v3 · doi: 10.48550/arxiv.1207.5527 · pith_short_12: AX4WIVXPOHVS · pith_short_16: AX4WIVXPOHVSW2CT · pith_short_8: AX4WIVXP

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/AX4WIVXPOHVSW2CT54YH45JKLB \
  | 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: 05f96456ef71eb2b6853ef307e752a5872eb0246a1912a12f51e112c57085099

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e6ad90fe4cc89cf81d986855c01d8840b4ff799f11d4e857c64cc908ac8a2cc",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-07-23T20:21:10Z",
    "title_canon_sha256": "65ecd96c84b068c00c2fbdef30b328d1661e5307a8c57621b0c74c0900f574db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5527",
    "kind": "arxiv",
    "version": 3
  }
}