Pith Number

pith:4XVB3MI5

pith:2016:4XVB3MI56LDSZNH7OJX4X7ORFN

not attested not anchored not stored refs pending

Guarded Dependent Type Theory with Coinductive Types

Ale\v{s} Bizjak, Hans Bugge Grathwohl, Lars Birkedal, Ranald Clouston, Rasmus E. M{\o}gelberg

arxiv:1601.01586 v1 · 2016-01-07 · cs.LO · 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{4XVB3MI56LDSZNH7OJX4X7ORFN}

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	2026-05-18T01:23:13.284469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ea1db11df2c72cb4ff726fcbfdd12b623848d56abaec0fb59809356cbbecdd

Aliases

arxiv: 1601.01586 · arxiv_version: 1601.01586v1 · doi: 10.48550/arxiv.1601.01586 · pith_short_12: 4XVB3MI56LDS · pith_short_16: 4XVB3MI56LDSZNH7 · pith_short_8: 4XVB3MI5

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/4XVB3MI56LDSZNH7OJX4X7ORFN \
  | 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: e5ea1db11df2c72cb4ff726fcbfdd12b623848d56abaec0fb59809356cbbecdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57ec53b15a48f9ad8f39f1257cd41e2178f68cac795a66c9874b1229f4b08715",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-01-07T16:26:14Z",
    "title_canon_sha256": "98c21c9b2a17870b81e75781a0a6dfa818aa6ad6c42bc3e8cfb16db3ea816182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.01586",
    "kind": "arxiv",
    "version": 1
  }
}