Pith Number

pith:BBJP27II

pith:2013:BBJP27IIMEUM4HRGY4JCSZCHER

not attested not anchored not stored refs pending

Invertible Bimodules, Miyashita Action in Monoidal Categories and Azumaya Monoids

Alessandro Ardizzoni, Laiachi El Kaoutit

arxiv:1307.5983 v2 · 2013-07-23 · math.RA · math.CT · 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{BBJP27IIMEUM4HRGY4JCSZCHER}

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	2026-05-18T02:43:45.538799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0852fd7d086128ce1e26c71229644724713dd4c6980cea0be4939910d9fad1cc

Aliases

arxiv: 1307.5983 · arxiv_version: 1307.5983v2 · doi: 10.48550/arxiv.1307.5983 · pith_short_12: BBJP27IIMEUM · pith_short_16: BBJP27IIMEUM4HRG · pith_short_8: BBJP27II

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/BBJP27IIMEUM4HRGY4JCSZCHER \
  | 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: 0852fd7d086128ce1e26c71229644724713dd4c6980cea0be4939910d9fad1cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2acd90b1c909bc3979acff0f88f9b8a34d6a04d4f26b8b16d418f7fe2412d154",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-07-23T09:06:00Z",
    "title_canon_sha256": "f83be8a918528e39e2b922d0e2864e4bfa0361ac3e9eb25ab52410c1bcb46cb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5983",
    "kind": "arxiv",
    "version": 2
  }
}