Pith Number

pith:CPFZZ3QH

pith:2022:CPFZZ3QHLC2GPKXPRZB77DGEM6

not attested not anchored not stored refs pending

External univalence for second-order generalized algebraic theories

Rafa\"el Bocquet

arxiv:2211.07487 v1 · 2022-11-14 · cs.LO · 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{CPFZZ3QHLC2GPKXPRZB77DGEM6}

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	2026-07-05T05:15:54.173497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13cb9cee0758b467aaef8e43ff8cc467a3d12237c27e5ab42ab0116bff137178

Aliases

arxiv: 2211.07487 · arxiv_version: 2211.07487v1 · doi: 10.48550/arxiv.2211.07487 · pith_short_12: CPFZZ3QHLC2G · pith_short_16: CPFZZ3QHLC2GPKXP · pith_short_8: CPFZZ3QH

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/CPFZZ3QHLC2GPKXPRZB77DGEM6 \
  | 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: 13cb9cee0758b467aaef8e43ff8cc467a3d12237c27e5ab42ab0116bff137178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "311602f74a4c0e60804386e32e8eff32afdad60665bb365a6b5a8602b216f2fa",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2022-11-14T16:11:31Z",
    "title_canon_sha256": "560257f9a451925bc04de92b3cfd10e539c4f4db8d49fde5ad0f68c74c724df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07487",
    "kind": "arxiv",
    "version": 1
  }
}