Pith Number

pith:KLFYAMIE

pith:2015:KLFYAMIEBGS3PPHYRB42OXNONF

not attested not anchored not stored refs pending

Algebra depth in tensor categories

Lars Kadison

arxiv:1511.02349 v2 · 2015-11-07 · math.QA · math.RA · 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{KLFYAMIEBGS3PPHYRB42OXNONF}

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	2026-05-18T01:25:54.749024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52cb80310409a5b7bcf88879a75dae696ad0656e18deb7d2ba14a79788e1c5a9

Aliases

arxiv: 1511.02349 · arxiv_version: 1511.02349v2 · doi: 10.48550/arxiv.1511.02349 · pith_short_12: KLFYAMIEBGS3 · pith_short_16: KLFYAMIEBGS3PPHY · pith_short_8: KLFYAMIE

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/KLFYAMIEBGS3PPHYRB42OXNONF \
  | 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: 52cb80310409a5b7bcf88879a75dae696ad0656e18deb7d2ba14a79788e1c5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "694e7b5836779c9c6b6d609c65a2ec965e2dbf53844a9440f1deeb9f784a3771",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-11-07T12:12:44Z",
    "title_canon_sha256": "dc3176dccc08c9b3c8172ba4cb8b0ac8cdf19d348cc5acef7f3f4596e2a24f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02349",
    "kind": "arxiv",
    "version": 2
  }
}