Pith Number

pith:N5DQOFD7

pith:2016:N5DQOFD7WJVTV6E44G54MWN6LG

not attested not anchored not stored refs pending

Game-theoretic Interpretation of Type Theory Part II: Uniqueness of Identity Proofs and Univalence

Norihiro Yamada

arxiv:1602.04123 v2 · 2016-02-12 · cs.LO · math.CO · math.CT · math.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{N5DQOFD7WJVTV6E44G54MWN6LG}

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	2026-05-18T01:17:41.445741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4707147fb26b3af89ce1bbc659be59971dace369d51eb8a18f7a2e1f43ed47

Aliases

arxiv: 1602.04123 · arxiv_version: 1602.04123v2 · doi: 10.48550/arxiv.1602.04123 · pith_short_12: N5DQOFD7WJVT · pith_short_16: N5DQOFD7WJVTV6E4 · pith_short_8: N5DQOFD7

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/N5DQOFD7WJVTV6E44G54MWN6LG \
  | 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: 6f4707147fb26b3af89ce1bbc659be59971dace369d51eb8a18f7a2e1f43ed47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ddc9234201be671bbe560a16dce60333750984845a4247192a52a7009da0885",
    "cross_cats_sorted": [
      "math.CO",
      "math.CT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-02-12T17:04:37Z",
    "title_canon_sha256": "a4968829999fef8b475c5bc576dac60fcd9ebc51432fb6e62a8b2b64b744eab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04123",
    "kind": "arxiv",
    "version": 2
  }
}