Pith Number

pith:2OPRL7HL

pith:2016:2OPRL7HLS32DC3YX73FKCOXLMO

not attested not anchored not stored refs pending

Computational Higher Type Theory I: Abstract Cubical Realizability

Carlo Angiuli, Robert Harper, Todd Wilson

arxiv:1604.08873 v2 · 2016-04-29 · 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{2OPRL7HLS32DC3YX73FKCOXLMO}

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

Classifying Types

Receipt and verification

First computed	2026-05-18T01:12:29.371508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d39f15fceb96f4316f17fecaa13aeb63968e3edd4d170726158cb7129b5a6d2b

Aliases

arxiv: 1604.08873 · arxiv_version: 1604.08873v2 · doi: 10.48550/arxiv.1604.08873 · pith_short_12: 2OPRL7HLS32D · pith_short_16: 2OPRL7HLS32DC3YX · pith_short_8: 2OPRL7HL

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/2OPRL7HLS32DC3YX73FKCOXLMO \
  | 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: d39f15fceb96f4316f17fecaa13aeb63968e3edd4d170726158cb7129b5a6d2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d047cfdc067f80512bebfb22e8064f77ebcb7c750b2578f4e81859af73f10aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-04-29T15:26:22Z",
    "title_canon_sha256": "a9b4dbad95475869d1343943689bb18398d014d0f780db7041aeb23d23830a9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08873",
    "kind": "arxiv",
    "version": 2
  }
}