Pith Number

pith:OGTNDYXK

pith:2017:OGTNDYXKEFM6W4XZL3HBY7FKKH

not attested not anchored not stored refs pending

Categorical structures for type theory in univalent foundations

Benedikt Ahrens, Peter LeFanu Lumsdaine, Vladimir Voevodsky

arxiv:1705.04310 v2 · 2017-05-11 · math.LO · cs.LO · math.CT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGTNDYXKEFM6W4XZL3HBY7FKKH}

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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.

Cited by

1 paper in Pith

Comparing semantic frameworks for dependently-sorted algebraic theories

Receipt and verification

First computed	2026-07-05T06:23:20.329078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71a6d1e2ea2159eb72f95ece1c7caa51cce6e1165cc10602ffc7470b77bd947d

Aliases

arxiv: 1705.04310 · arxiv_version: 1705.04310v2 · doi: 10.48550/arxiv.1705.04310 · pith_short_12: OGTNDYXKEFM6 · pith_short_16: OGTNDYXKEFM6W4XZ · pith_short_8: OGTNDYXK

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/OGTNDYXKEFM6W4XZL3HBY7FKKH \
  | 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: 71a6d1e2ea2159eb72f95ece1c7caa51cce6e1165cc10602ffc7470b77bd947d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ec90b65dd0c4a9527f0307707d83ab74bfb6853e8d39ebf0d9434ac1fcdeba",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-05-11T17:55:23Z",
    "title_canon_sha256": "2d73eb7b4e1285d8025344a38869f77ab4b8194d149b3441f732a44a3d0f413d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04310",
    "kind": "arxiv",
    "version": 2
  }
}