Pith Number

pith:LIQ4Z5IX

pith:2016:LIQ4Z5IXQLEID4X3SZVKQNHSKE

not attested not anchored not stored refs pending

Dependent Types in Haskell: Theory and Practice

Richard A. Eisenberg

arxiv:1610.07978 v2 · 2016-10-25 · 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{LIQ4Z5IXQLEID4X3SZVKQNHSKE}

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	2026-05-18T00:38:09.235911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a21ccf51782c881f2fb966aa834f25124322f5b16332ea46eef358a2244c922

Aliases

arxiv: 1610.07978 · arxiv_version: 1610.07978v2 · doi: 10.48550/arxiv.1610.07978 · pith_short_12: LIQ4Z5IXQLEI · pith_short_16: LIQ4Z5IXQLEID4X3 · pith_short_8: LIQ4Z5IX

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/LIQ4Z5IXQLEID4X3SZVKQNHSKE \
  | 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: 5a21ccf51782c881f2fb966aa834f25124322f5b16332ea46eef358a2244c922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d892b8b0cab9ccfc1bf956141625bd19f580f63e92dcb5543caabca222cd0298",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2016-10-25T17:28:46Z",
    "title_canon_sha256": "65c4703f265b041e6cb8af3c0242a8ae4547a020343a814d3f4e8745445e1987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07978",
    "kind": "arxiv",
    "version": 2
  }
}