Pith Number

pith:YHJ4GBCX

pith:2019:YHJ4GBCXX3PNSYEFTPCREUMPWA

not attested not anchored not stored refs pending

A Dependently Typed Multi-Stage Calculus

Akira Kawata, Atsushi Igarashi

arxiv:1908.02035 v3 · 2019-08-06 · cs.PL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHJ4GBCXX3PNSYEFTPCREUMPWA}

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	2026-07-05T03:06:09.358898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1d3c30457beded960859bc512518fb03eabe4b321693358879e749e38ccf66d

Aliases

arxiv: 1908.02035 · arxiv_version: 1908.02035v3 · doi: 10.48550/arxiv.1908.02035 · pith_short_12: YHJ4GBCXX3PN · pith_short_16: YHJ4GBCXX3PNSYEF · pith_short_8: YHJ4GBCX

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/YHJ4GBCXX3PNSYEFTPCREUMPWA \
  | 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: c1d3c30457beded960859bc512518fb03eabe4b321693358879e749e38ccf66d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39219491d0a51d64543f7f7acb3bbdba5c005f22dafb1ebb7fbdf444736d5a46",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2019-08-06T09:19:45Z",
    "title_canon_sha256": "e4d47512bef0ac5656d1a2ef7e473c7e8b5e620509972172d0119bf33dcc8bb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02035",
    "kind": "arxiv",
    "version": 3
  }
}