Pith Number

pith:X446CMPF

pith:2019:X446CMPFLDPDAW74YLKPGZDGWL

not attested not anchored not stored refs pending

Constructing Infinitary Quotient-Inductive Types

Andrew M. Pitts, Marcelo Fiore, S. C. Steenkamp

arxiv:1911.06899 v2 · 2019-11-15 · 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{X446CMPFLDPDAW74YLKPGZDGWL}

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	2026-07-05T04:04:34.447813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf39e131e558de305bfcc2d4f36466b2c3c99ac745b1d14ece9433da1224281e

Aliases

arxiv: 1911.06899 · arxiv_version: 1911.06899v2 · doi: 10.48550/arxiv.1911.06899 · pith_short_12: X446CMPFLDPD · pith_short_16: X446CMPFLDPDAW74 · pith_short_8: X446CMPF

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/X446CMPFLDPDAW74YLKPGZDGWL \
  | 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: bf39e131e558de305bfcc2d4f36466b2c3c99ac745b1d14ece9433da1224281e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45871438305a0629fe5f74b2454bc2bb9dc5104faf04a5fd697bf8bdc3712123",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-11-15T22:43:11Z",
    "title_canon_sha256": "0897bc4fee1fcb146ca9dd3d74d19fd2d80fa5d3cefd7b818fd4f0701840c032"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.06899",
    "kind": "arxiv",
    "version": 2
  }
}