Pith Number

pith:ZK44OFAB

pith:2015:ZK44OFAB75YSTKKWFD5CNMSF7Z

not attested not anchored not stored refs pending

The prime spectrum and simple modules over the quantum spatial ageing algebra

T. Lu, V. V. Bavula

arxiv:1509.04736 v1 · 2015-09-15 · math.RA · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZK44OFAB75YSTKKWFD5CNMSF7Z}

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	2026-05-18T01:32:51.852662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab9c71401ff7129a95628fa26b245fe48bf4f1c55470f5e3ababecf80849984

Aliases

arxiv: 1509.04736 · arxiv_version: 1509.04736v1 · doi: 10.48550/arxiv.1509.04736 · pith_short_12: ZK44OFAB75YS · pith_short_16: ZK44OFAB75YSTKKW · pith_short_8: ZK44OFAB

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/ZK44OFAB75YSTKKWFD5CNMSF7Z \
  | 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: cab9c71401ff7129a95628fa26b245fe48bf4f1c55470f5e3ababecf80849984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "090b67e621a7a3fecf07849fc1945328ead8a59b510193048888b1703036175e",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-15T20:51:30Z",
    "title_canon_sha256": "90aef3e5b996d7058925eeebd21caa3575e5d980372a3b17c17fcda3d3316159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04736",
    "kind": "arxiv",
    "version": 1
  }
}