Pith Number

pith:5C6FFP33

pith:2012:5C6FFP33P2LHYUIRUJUXSGPT3Z

not attested not anchored not stored refs pending

Morita equivalence for convolution categories: Appendix to arXiv:0805.0157

David Ben-Zvi, David Nadler, John Francis

arxiv:1209.0193 v1 · 2012-09-02 · math.AG · math.AT · 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{5C6FFP33P2LHYUIRUJUXSGPT3Z}

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	2026-05-18T03:46:29.702382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bc52bf7b7e967c5111a2697919f3de5e43e717239f1b799e72bae022495098

Aliases

arxiv: 1209.0193 · arxiv_version: 1209.0193v1 · doi: 10.48550/arxiv.1209.0193 · pith_short_12: 5C6FFP33P2LH · pith_short_16: 5C6FFP33P2LHYUIR · pith_short_8: 5C6FFP33

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/5C6FFP33P2LHYUIRUJUXSGPT3Z \
  | 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: e8bc52bf7b7e967c5111a2697919f3de5e43e717239f1b799e72bae022495098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0218a686f19da4defd95dffe1e6b78b13de81d848d3b8e3b5f0c4880751acff7",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-02T17:18:36Z",
    "title_canon_sha256": "f95b9dd9356b55b5b7443b8ce2c62d430cbcadc3249945d19351503c944a65e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0193",
    "kind": "arxiv",
    "version": 1
  }
}