Pith Number

pith:6N7CZ24Y

pith:2026:6N7CZ24YOFST5LZOEKK64FJDEZ

not attested not anchored not stored refs pending

Using Aristotle API for AI-Assisted Theorem Proving in Lean 4: A Formalisation Case Study of the Grasshopper Problem

Gabriel Rongyang Lau

arxiv:2605.20120 v1 · 2026-05-19 · cs.AI · 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{6N7CZ24YOFST5LZOEKK64FJDEZ}

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	2026-05-20T02:06:02.936261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f37e2ceb9871653eaf2e2295ee15232668cf321b712db894731f6b267221ae43

Aliases

arxiv: 2605.20120 · arxiv_version: 2605.20120v1 · doi: 10.48550/arxiv.2605.20120 · pith_short_12: 6N7CZ24YOFST · pith_short_16: 6N7CZ24YOFST5LZO · pith_short_8: 6N7CZ24Y

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/6N7CZ24YOFST5LZOEKK64FJDEZ \
  | 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: f37e2ceb9871653eaf2e2295ee15232668cf321b712db894731f6b267221ae43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283a425df3ced5beb357220f8f4678caa7cca8691783ed7152d411dda5883079",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-05-19T17:08:58Z",
    "title_canon_sha256": "a51f4d3ff854d7eba3a98dae34fb797ff96f370acb2fe990b6547789911156d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20120",
    "kind": "arxiv",
    "version": 1
  }
}