Pith Number

pith:ZWLBZ7XD

pith:2017:ZWLBZ7XDSOFQ6RC5RSINXATMTC

not attested not anchored not stored refs pending

Categories with Dependence and Semantics of Dependent Types

Norihiro Yamada

arxiv:1704.04747 v3 · 2017-04-16 · math.CT · 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{ZWLBZ7XDSOFQ6RC5RSINXATMTC}

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	2026-05-17T23:52:56.130751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd961cfee3938b0f445d8c90db826c98afcd2d636c99ee196bbe09a85eb0562c

Aliases

arxiv: 1704.04747 · arxiv_version: 1704.04747v3 · doi: 10.48550/arxiv.1704.04747 · pith_short_12: ZWLBZ7XDSOFQ · pith_short_16: ZWLBZ7XDSOFQ6RC5 · pith_short_8: ZWLBZ7XD

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/ZWLBZ7XDSOFQ6RC5RSINXATMTC \
  | 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: cd961cfee3938b0f445d8c90db826c98afcd2d636c99ee196bbe09a85eb0562c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9a69783c1651795442d53fd6c164301fefc366978211aa85c75ec9d254fadb",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2017-04-16T10:56:49Z",
    "title_canon_sha256": "c057209f77798535455d19ee6c080e121d89540e4bee4524a967d317252c9f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04747",
    "kind": "arxiv",
    "version": 3
  }
}