Pith Number

pith:BT5ZOCBF

pith:2020:BT5ZOCBFYBHEWIRTUTWF3PUHIH

not attested not anchored not stored refs pending

Game semantics of Martin-L\"of type theory, part III: its consistency with Church's thesis

Norihiro Yamada

arxiv:2007.08094 v2 · 2020-07-16 · 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{BT5ZOCBFYBHEWIRTUTWF3PUHIH}

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	2026-07-05T01:22:51.044957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cfb970825c04e4b2233a4ec5dbe8741d32f46c95322ef79d2e8b8d1bf6a125f

Aliases

arxiv: 2007.08094 · arxiv_version: 2007.08094v2 · doi: 10.48550/arxiv.2007.08094 · pith_short_12: BT5ZOCBFYBHE · pith_short_16: BT5ZOCBFYBHEWIRT · pith_short_8: BT5ZOCBF

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/BT5ZOCBFYBHEWIRTUTWF3PUHIH \
  | 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: 0cfb970825c04e4b2233a4ec5dbe8741d32f46c95322ef79d2e8b8d1bf6a125f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4546373acbf0580f4bf402e1635a1460bee064bc81ca0938dc5b81edc90192e",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2020-07-16T04:07:59Z",
    "title_canon_sha256": "e7c2aabef3a5e5317a641f12656ed664cac0f5134aa89cd13c9c847dfb8487d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.08094",
    "kind": "arxiv",
    "version": 2
  }
}