Pith Number

pith:56JFNMOT

pith:2014:56JFNMOTXZAZMNEFLMCR3XBOBR

not attested not anchored not stored refs pending

K-theory for Leavitt path algebras: computation and classification

Efren Ruiz, James Gabe, Mark Tomforde, Tristan Whalen

arxiv:1407.5094 v3 · 2014-07-18 · math.KT · 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{56JFNMOTXZAZMNEFLMCR3XBOBR}

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	2026-05-18T02:20:20.673453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef9256b1d3be419634855b051ddc2e0c4ab89970fa1b15bdfce133187cfa0f64

Aliases

arxiv: 1407.5094 · arxiv_version: 1407.5094v3 · doi: 10.48550/arxiv.1407.5094 · pith_short_12: 56JFNMOTXZAZ · pith_short_16: 56JFNMOTXZAZMNEF · pith_short_8: 56JFNMOT

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/56JFNMOTXZAZMNEFLMCR3XBOBR \
  | 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: ef9256b1d3be419634855b051ddc2e0c4ab89970fa1b15bdfce133187cfa0f64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c16e97c1458f26e2c6e6a1d4d0129ab0b8f2d7e0199952f1a39259e4afa241",
    "cross_cats_sorted": [
      "math.OA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-07-18T17:51:18Z",
    "title_canon_sha256": "2b339c42a909ad84d8041456c605cda5fafde55abb7ae2d2c330a71ae7bcbf3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5094",
    "kind": "arxiv",
    "version": 3
  }
}