Pith. sign in
Pith Number

pith:P7CEPNLI

pith:2021:P7CEPNLIYZX5FLRI5G4HS6AOAU
not attested not anchored not stored refs pending

Dependent Type Systems as Macros

Michael Ballantyne, Milo Turner, Stephen Chang, William J. Bowman

arxiv:2107.01295 v1 · 2021-07-02 · cs.PL

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{P7CEPNLIYZX5FLRI5G4HS6AOAU}

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 2026-07-05T02:54:41.657369Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7fc447b568c66fd2ae28e9b879780e051fd8f359e7e54ad646c47c3706a9bada

Aliases

arxiv: 2107.01295 · arxiv_version: 2107.01295v1 · doi: 10.48550/arxiv.2107.01295 · pith_short_12: P7CEPNLIYZX5 · pith_short_16: P7CEPNLIYZX5FLRI · pith_short_8: P7CEPNLI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/P7CEPNLIYZX5FLRI5G4HS6AOAU \
  | 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: 7fc447b568c66fd2ae28e9b879780e051fd8f359e7e54ad646c47c3706a9bada
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3c6039dd2bcf1d88dffdd7bfee47b80ee376807ab01d31c7f6227a3fd503dd3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2021-07-02T22:43:51Z",
    "title_canon_sha256": "318938f584fbe84f267f8fca6a1a6afd8c5fa31cae550a478eb34c89d4008f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01295",
    "kind": "arxiv",
    "version": 1
  }
}