Pith Number

pith:6PGXBNQE

pith:2014:6PGXBNQE7YTHBZE5BT6TVVE36B

not attested not anchored not stored refs pending

Hopf comonads on naturally Frobenius map-monoidales

Gabriella B\"ohm, Stephen Lack

arxiv:1411.5788 v1 · 2014-11-21 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PGXBNQE7YTHBZE5BT6TVVE36B}

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	2026-05-17T23:41:28.194182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cd70b604fe2670e49d0cfd3ad49bf0401fa176acccb97c10c3b1fd8ae95b29

Aliases

arxiv: 1411.5788 · arxiv_version: 1411.5788v1 · doi: 10.48550/arxiv.1411.5788 · pith_short_12: 6PGXBNQE7YTH · pith_short_16: 6PGXBNQE7YTHBZE5 · pith_short_8: 6PGXBNQE

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/6PGXBNQE7YTHBZE5BT6TVVE36B \
  | 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: f3cd70b604fe2670e49d0cfd3ad49bf0401fa176acccb97c10c3b1fd8ae95b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0598d532f2cc9f1ded08b5f3cb506fd6c0bac45cb87f5902356022090e46120",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-11-21T08:13:58Z",
    "title_canon_sha256": "a5e3186f2e55fad453da30a502bf2d3e58053f69726c57a7da3d20ca33effdc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5788",
    "kind": "arxiv",
    "version": 1
  }
}