Pith Number

pith:GSE6ZYYP

pith:2026:GSE6ZYYPR5AGNUFKNUBNAKKWHG

not attested not anchored not stored refs pending

Lean-GAP: A Dataset of Formalized Graduate Algebra Problems

Byung-Hak Hwang, Chul-hee Lee, Hyojae Lim, Hyukpyo Hong, Hyungryul Baik, Ilkyoo Choi, Jaeseong Heo, Jihoon Hyun, Jineon Baek, Keewoo Lee, Kyu-Hwan Lee, Seewoo Lee, Yeachan Park

arxiv:2606.02588 v1 · 2026-05-20 · cs.LO · cs.AI · cs.PL

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSE6ZYYPR5AGNUFKNUBNAKKWHG}

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	2026-06-03T00:05:03.946369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3489ece30f8f4066d0aa6d02d0295639b3d151178c052845f2b77a8593419d12

Aliases

arxiv: 2606.02588 · arxiv_version: 2606.02588v1 · doi: 10.48550/arxiv.2606.02588 · pith_short_12: GSE6ZYYPR5AG · pith_short_16: GSE6ZYYPR5AGNUFK · pith_short_8: GSE6ZYYP

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/GSE6ZYYPR5AGNUFKNUBNAKKWHG \
  | 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: 3489ece30f8f4066d0aa6d02d0295639b3d151178c052845f2b77a8593419d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7abd06df0de208bb45bffc467ee5667a2eae064fdaaa4d2e87694a308f27436d",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.PL"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-05-20T08:15:43Z",
    "title_canon_sha256": "520dd7c4b7fb7661051aa6b54032cf4858359858e6eda2537248403b892bafb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02588",
    "kind": "arxiv",
    "version": 1
  }
}