Pith Number

pith:5LXLYVC6

pith:2019:5LXLYVC6DHUYWMJEJM7WTMLJI4

not attested not anchored not stored refs pending

A Larson-Sweedler Theorem for Hopf V-Categories

Christina Vasilakopoulou, Joost Vercruysse, Mitchell Buckley, Timmy Fieremans

arxiv:1908.02049 v3 · 2019-08-06 · math.CT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5LXLYVC6DHUYWMJEJM7WTMLJI4}

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	2026-07-05T01:43:23.334279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaeebc545e19e98b31244b3f69b169470c4d5abfb1312298c73c86bc906204ed

Aliases

arxiv: 1908.02049 · arxiv_version: 1908.02049v3 · doi: 10.48550/arxiv.1908.02049 · pith_short_12: 5LXLYVC6DHUY · pith_short_16: 5LXLYVC6DHUYWMJE · pith_short_8: 5LXLYVC6

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/5LXLYVC6DHUYWMJEJM7WTMLJI4 \
  | 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: eaeebc545e19e98b31244b3f69b169470c4d5abfb1312298c73c86bc906204ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d11839f18db60240e1cf155f0aa6c667acb36958e90b6537dd71683a40d27c15",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2019-08-06T10:14:23Z",
    "title_canon_sha256": "c6029502c391004f1d940de9ef1fcc9690b4794e3d8a5e26f61d888c24c5ab52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02049",
    "kind": "arxiv",
    "version": 3
  }
}