Pith Number

pith:PRLLAKAF

pith:2026:PRLLAKAFRVYFDCHOLDO3MGIEDU

not attested not anchored not stored refs pending

On the simplicity of Katsura algebras

Josiah Aakre, N\'ora Szak\'acs

arxiv:2607.07227 v1 · 2026-07-08 · 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{PRLLAKAFRVYFDCHOLDO3MGIEDU}

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	2026-07-09T01:20:18.267326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c56b028058d705188ee58ddb619041d19a204a69c94f91ff0f34dfb03a813b8

Aliases

arxiv: 2607.07227 · arxiv_version: 2607.07227v1 · doi: 10.48550/arxiv.2607.07227 · pith_short_12: PRLLAKAFRVYF · pith_short_16: PRLLAKAFRVYFDCHO · pith_short_8: PRLLAKAF

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/PRLLAKAFRVYFDCHOLDO3MGIEDU \
  | 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: 7c56b028058d705188ee58ddb619041d19a204a69c94f91ff0f34dfb03a813b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3b8fd42b32f2b45343da6665e2f104496f5861a269c82698fb96e59181b1bf",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2026-07-08T10:09:11Z",
    "title_canon_sha256": "ce4351abde6625f6aed3608a892c377bb6dbb2f5b9c32f1d8336a05e2fed1a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07227",
    "kind": "arxiv",
    "version": 1
  }
}