Pith Number

pith:JMFY7VVL

pith:2017:JMFY7VVLAYPCZNOKCZZPDBSDLH

not attested not anchored not stored refs pending

A Type Checking Algorithm for Higher-rank, Impredicative and Second-order Types

Peng Fu

arxiv:1711.04718 v1 · 2017-11-13 · 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{JMFY7VVLAYPCZNOKCZZPDBSDLH}

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	2026-05-18T00:30:35.856729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0b8fd6ab061e2cb5ca1672f1864359d33fd1253d577411e6561bd5e9a76b91

Aliases

arxiv: 1711.04718 · arxiv_version: 1711.04718v1 · doi: 10.48550/arxiv.1711.04718 · pith_short_12: JMFY7VVLAYPC · pith_short_16: JMFY7VVLAYPCZNOK · pith_short_8: JMFY7VVL

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/JMFY7VVLAYPCZNOKCZZPDBSDLH \
  | 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: 4b0b8fd6ab061e2cb5ca1672f1864359d33fd1253d577411e6561bd5e9a76b91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aba6f3595c5e79a2b79732c734edcf4eafade1849c6a2d4f170c207cd61bc18",
    "cross_cats_sorted": [
      "cs.PL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-11-13T17:30:12Z",
    "title_canon_sha256": "08d0735b5a54806ade69288f58c1aef026ff5873abf2e4d0dd07a9ee481087a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04718",
    "kind": "arxiv",
    "version": 1
  }
}