Pith Number

pith:VCAVZS4D

pith:2013:VCAVZS4DWZBX36FGOQCUTYU6H5

not attested not anchored not stored refs pending

Firm Frobenius monads and firm Frobenius algebras

Gabriella B\"ohm, Jos\'e G\'omez-Torrecillas

arxiv:1304.6541 v2 · 2013-04-24 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCAVZS4DWZBX36FGOQCUTYU6H5}

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	2026-05-18T03:18:18.267374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8815ccb83b6437df8a6740549e29e3f7fb981e44d5ef5693d4d029fa9e1840f

Aliases

arxiv: 1304.6541 · arxiv_version: 1304.6541v2 · doi: 10.48550/arxiv.1304.6541 · pith_short_12: VCAVZS4DWZBX · pith_short_16: VCAVZS4DWZBX36FG · pith_short_8: VCAVZS4D

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/VCAVZS4DWZBX36FGOQCUTYU6H5 \
  | 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: a8815ccb83b6437df8a6740549e29e3f7fb981e44d5ef5693d4d029fa9e1840f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2743c3ba9279a7f7e1df9d16cca1f44244d4cdce0a35ab19a66faae60b5a3bb5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-24T10:35:33Z",
    "title_canon_sha256": "c5c1b1c8cfb59eab3ca9f2a3c653e9c1f331457563aa5dd10103475ee4a8d7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6541",
    "kind": "arxiv",
    "version": 2
  }
}