Pith Number

pith:TTSZ4OB5

pith:2017:TTSZ4OB5BQHPF7Q6RUYTTCO7BP

not attested not anchored not stored refs pending

The univalence axiom in cubical sets

Marc Bezem, Simon Huber, Thierry Coquand

arxiv:1710.10941 v1 · 2017-10-30 · math.LO · 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{TTSZ4OB5BQHPF7Q6RUYTTCO7BP}

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	2026-05-18T00:31:46.022688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce59e383d0c0ef2fe1e8d313989df0bfa5b9f1a103e6810024260e7fa3496c7

Aliases

arxiv: 1710.10941 · arxiv_version: 1710.10941v1 · doi: 10.48550/arxiv.1710.10941 · pith_short_12: TTSZ4OB5BQHP · pith_short_16: TTSZ4OB5BQHPF7Q6 · pith_short_8: TTSZ4OB5

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/TTSZ4OB5BQHPF7Q6RUYTTCO7BP \
  | 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: 9ce59e383d0c0ef2fe1e8d313989df0bfa5b9f1a103e6810024260e7fa3496c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15c7f1efd1decee93d9e040488532fa82cd5353cdabd6c6cbddb4f007b0e2cec",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-30T13:53:15Z",
    "title_canon_sha256": "704e7cd9e77a3761b9474df26bd81955f79e95273d8132f2e8580fe9058ec3e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10941",
    "kind": "arxiv",
    "version": 1
  }
}