Pith Number

pith:LN7CNQTH

pith:2013:LN7CNQTHIB7QCJVP74VXDALIPC

not attested not anchored not stored refs pending

Voevodsky's Univalence Axiom in homotopy type theory

\'Alvaro Pelayo, Michael A. Warren, Steve Awodey

arxiv:1302.4731 v1 · 2013-02-19 · math.HO · 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{LN7CNQTHIB7QCJVP74VXDALIPC}

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	2026-05-18T03:33:12.358793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b7e26c267407f0126afff2b7181687898ac104ead06f79612a2a2963b2b7a1c

Aliases

arxiv: 1302.4731 · arxiv_version: 1302.4731v1 · doi: 10.48550/arxiv.1302.4731 · pith_short_12: LN7CNQTHIB7Q · pith_short_16: LN7CNQTHIB7QCJVP · pith_short_8: LN7CNQTH

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/LN7CNQTHIB7QCJVP74VXDALIPC \
  | 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: 5b7e26c267407f0126afff2b7181687898ac104ead06f79612a2a2963b2b7a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53272b1147f0e133637ac85d0c0defada5bf81e737c581c5b1f84c7671dfe8ec",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-02-19T20:32:46Z",
    "title_canon_sha256": "59c16b41d4fe7076e10ccb148ff67a1c5f6beb4cd9474e4a3a65df43fa95df58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4731",
    "kind": "arxiv",
    "version": 1
  }
}