Pith Number

pith:3IDPQTLL

pith:2017:3IDPQTLLPDAE3YY55LY7WPFIUR

not attested not anchored not stored refs pending

Axioms for Modelling Cubical Type Theory in a Topos

Andrew M. Pitts, Ian Orton

arxiv:1712.04864 v4 · 2017-12-13 · 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{3IDPQTLLPDAE3YY55LY7WPFIUR}

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	2026-07-05T06:23:22.449466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da06f84d6b78c04de31deaf1fb3ca8a47f49280632d1c4ee38b7be4a97984433

Aliases

arxiv: 1712.04864 · arxiv_version: 1712.04864v4 · doi: 10.48550/arxiv.1712.04864 · pith_short_12: 3IDPQTLLPDAE · pith_short_16: 3IDPQTLLPDAE3YY5 · pith_short_8: 3IDPQTLL

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/3IDPQTLLPDAE3YY55LY7WPFIUR \
  | 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: da06f84d6b78c04de31deaf1fb3ca8a47f49280632d1c4ee38b7be4a97984433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222c124cef828ec2bbc599ec0ed8e8345bb198c1e86afa07350ef2882c1a201e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2017-12-13T17:07:44Z",
    "title_canon_sha256": "0fe3f0d5e546d055f770cdde4efb2c901e886e6b3cb9c0e213b98d8598766575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04864",
    "kind": "arxiv",
    "version": 4
  }
}