Pith Number

pith:5QI6WWCW

pith:2025:5QI6WWCWXSCW5ROU6XPPZUA4XC

not attested not anchored not stored refs pending

Simplicity of algebras and $C^*$-algebras of self-similar groupoids

Josiah Aakre

arxiv:2510.19735 v2 · 2025-10-22 · 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{5QI6WWCWXSCW5ROU6XPPZUA4XC}

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	2026-05-27T01:05:39.282355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec11eb5856bc856ec5d4f5defcd01cb88b0e26f7da3abf4ee410555bfba2a640

Aliases

arxiv: 2510.19735 · arxiv_version: 2510.19735v2 · doi: 10.48550/arxiv.2510.19735 · pith_short_12: 5QI6WWCWXSCW · pith_short_16: 5QI6WWCWXSCW5ROU · pith_short_8: 5QI6WWCW

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/5QI6WWCWXSCW5ROU6XPPZUA4XC \
  | 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: ec11eb5856bc856ec5d4f5defcd01cb88b0e26f7da3abf4ee410555bfba2a640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44ea136e5ef216e33a9847feb4ecd0617be6c5ab0a72039efc6d42b9870a781",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2025-10-22T16:26:46Z",
    "title_canon_sha256": "00bbb239b105039c1763bb851cb43f38427bf90468febdb0680b5f70d9d42686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.19735",
    "kind": "arxiv",
    "version": 2
  }
}