Pith Number

pith:3CU5Z5SW

pith:2026:3CU5Z5SWR74NBWL5A7RBEWM7Q7

not attested not anchored not stored refs pending

Counterexample Guided Learning in the Large using Reasoning Agents

Adithya Murali, Frederic Sala, Hongyi Liu, Thomas Reps

arxiv:2606.11521 v1 · 2026-06-09 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CU5Z5SWR74NBWL5A7RBEWM7Q7}

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	2026-06-11T01:09:53.951616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8a9dcf6568ff8d0d97d07e212599f87c954bdef4b6193bf339199d3cbea5868

Aliases

arxiv: 2606.11521 · arxiv_version: 2606.11521v1 · doi: 10.48550/arxiv.2606.11521 · pith_short_12: 3CU5Z5SWR74N · pith_short_16: 3CU5Z5SWR74NBWL5 · pith_short_8: 3CU5Z5SW

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/3CU5Z5SWR74NBWL5A7RBEWM7Q7 \
  | 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: d8a9dcf6568ff8d0d97d07e212599f87c954bdef4b6193bf339199d3cbea5868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f1ea9b9718d1090ec23fa24a9ccc1b5677607df69f067eeef64e3d6036c1df5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-09T23:46:46Z",
    "title_canon_sha256": "2b0d2cfc634d77aa56b1db0084a7c80df32cc68e96ba946081da19dcdde18bca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11521",
    "kind": "arxiv",
    "version": 1
  }
}