Pith Number

pith:BFDBEAOT

pith:2021:BFDBEAOTG5EE2K5KNHFW3MRSGE

not attested not anchored not stored refs pending

Quadratic type checking for objective type theory

Benno van den Berg, Martijn den Besten

arxiv:2102.00905 v1 · 2021-02-01 · 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{BFDBEAOTG5EE2K5KNHFW3MRSGE}

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

A 2-categorical approach to the semantics of dependent type theory with computation axioms

Receipt and verification

First computed	2026-07-05T02:11:16.344826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09461201d337484d2baa69cb6db2323117b439b1208caa47a8dc94a3223a7bcb

Aliases

arxiv: 2102.00905 · arxiv_version: 2102.00905v1 · doi: 10.48550/arxiv.2102.00905 · pith_short_12: BFDBEAOTG5EE · pith_short_16: BFDBEAOTG5EE2K5K · pith_short_8: BFDBEAOT

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/BFDBEAOTG5EE2K5KNHFW3MRSGE \
  | 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: 09461201d337484d2baa69cb6db2323117b439b1208caa47a8dc94a3223a7bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8536712058a9dbe9e4de4ec04b670b22cb4a656b92b7909aa8c506fb0fe6996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2021-02-01T15:28:35Z",
    "title_canon_sha256": "4998341f8d546c270dd0d8d581b15fad0e6db0f6d2fb661e982bad715deedb9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.00905",
    "kind": "arxiv",
    "version": 1
  }
}