Pith Number

pith:4SFWZRV7

pith:2026:4SFWZRV77U4FYGCCN6NZF6CZPT

not attested not anchored not stored refs pending

AXLE: A Cloud Infrastructure for Lean 4 Theorem Proving Utilities

Alex Schneidman, Chris Cummins, Jannis Limperg, Jimmy Xin, Karun Ram, Srihari Ganesh

arxiv:2606.26442 v1 · 2026-06-24 · cs.LO · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SFWZRV77U4FYGCCN6NZF6CZPT}

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	2026-06-26T00:15:41.341225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e48b6cc6bffd385c18426f9b92f8597cf02532e56b22f7c1881c7002d8258064

Aliases

arxiv: 2606.26442 · arxiv_version: 2606.26442v1 · doi: 10.48550/arxiv.2606.26442 · pith_short_12: 4SFWZRV77U4F · pith_short_16: 4SFWZRV77U4FYGCC · pith_short_8: 4SFWZRV7

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/4SFWZRV77U4FYGCCN6NZF6CZPT \
  | 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: e48b6cc6bffd385c18426f9b92f8597cf02532e56b22f7c1881c7002d8258064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "543aa32537ae2cfce9890461e348879319a24e403f421546ac3fe04f600852e5",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-06-24T23:09:49Z",
    "title_canon_sha256": "3c47689add79423d8eada14e39c8e08f9c7bf3e476ed42b7166661522aa90537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26442",
    "kind": "arxiv",
    "version": 1
  }
}