Pith Number

pith:WB4POAL7

pith:2016:WB4POAL7NCMZWB6HWMTDXOLF7S

not attested not anchored not stored refs pending

Sound and Complete Bidirectional Typechecking for Higher-Rank Polymorphism with Existentials and Indexed Types

Jana Dunfield, Neelakantan R. Krishnaswami

arxiv:1601.05106 v4 · 2016-01-19 · cs.PL · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WB4POAL7NCMZWB6HWMTDXOLF7S}

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.

Cited by

1 paper in Pith

Bidirectional Typing

Receipt and verification

First computed	2026-07-05T01:36:24.677971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b078f7017f68999b07c7b3263bb965fc91041bb9b4a80fb7e9b996d97a30fc14

Aliases

arxiv: 1601.05106 · arxiv_version: 1601.05106v4 · doi: 10.48550/arxiv.1601.05106 · pith_short_12: WB4POAL7NCMZ · pith_short_16: WB4POAL7NCMZWB6H · pith_short_8: WB4POAL7

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/WB4POAL7NCMZWB6HWMTDXOLF7S \
  | 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: b078f7017f68999b07c7b3263bb965fc91041bb9b4a80fb7e9b996d97a30fc14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6962462f8d43f8900fbb1118da6ec8c99cac309da059dc4d6f00171d46f2729b",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2016-01-19T21:36:21Z",
    "title_canon_sha256": "83133dcde2aba5f3e85d636ecb5e4c793dc00ea8e312fc4e8208d1fe91f070ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05106",
    "kind": "arxiv",
    "version": 4
  }
}