Pith Number

pith:FJ5MYNHV

pith:2011:FJ5MYNHVOLKBUGYLE5RYAYZT3S

not attested not anchored not stored refs pending

Kumjian-Pask algebras of higher-rank graphs

Astrid an Huef, Gonzalo Aranda Pino, Iain Raeburn, John Clark

arxiv:1106.4361 v1 · 2011-06-22 · math.RA · 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{FJ5MYNHVOLKBUGYLE5RYAYZT3S}

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	2026-05-18T04:19:33.104573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a7acc34f572d41a1b0b2763806333dc93b638f24c12b15444b6480c8163f4e0

Aliases

arxiv: 1106.4361 · arxiv_version: 1106.4361v1 · doi: 10.48550/arxiv.1106.4361 · pith_short_12: FJ5MYNHVOLKB · pith_short_16: FJ5MYNHVOLKBUGYL · pith_short_8: FJ5MYNHV

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/FJ5MYNHVOLKBUGYLE5RYAYZT3S \
  | 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: 2a7acc34f572d41a1b0b2763806333dc93b638f24c12b15444b6480c8163f4e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ccc985cdb5fa21e97db6f37bd21f6fe33d8a4d3f99df24a8e104c5ea345ad6",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-06-22T02:09:01Z",
    "title_canon_sha256": "4b6305e2a2bf00299c1401e6fd2731020d337c7c71201f1e52091825c66e4485"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4361",
    "kind": "arxiv",
    "version": 1
  }
}