Pith Number

pith:ZNEBOXM6

pith:2025:ZNEBOXM6FHUIUG4KER7RLFTZHQ

not attested not anchored not stored refs pending

Algebraic Type Theory, Part 1: Martin-L\"of algebras

Steve Awodey

arxiv:2505.10761 v1 · 2025-05-16 · 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{ZNEBOXM6FHUIUG4KER7RLFTZHQ}

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	2026-07-05T11:04:05.074097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb48175d9e29e88a1b8a247f1596793c3ac84c36b8c00b2159ce114ecc609860

Aliases

arxiv: 2505.10761 · arxiv_version: 2505.10761v1 · doi: 10.48550/arxiv.2505.10761 · pith_short_12: ZNEBOXM6FHUI · pith_short_16: ZNEBOXM6FHUIUG4K · pith_short_8: ZNEBOXM6

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/ZNEBOXM6FHUIUG4KER7RLFTZHQ \
  | 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: cb48175d9e29e88a1b8a247f1596793c3ac84c36b8c00b2159ce114ecc609860

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f42b1e1d3df46531e5b3f8b1313211bfe5ffd043b019d12c06fe9cc69fcc261c",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-05-16T00:20:07Z",
    "title_canon_sha256": "e077a56baf01ceb5ac769014a9e44d168bf7c5043d3cd163914f0decc2b85ef9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10761",
    "kind": "arxiv",
    "version": 1
  }
}