Pith Number

pith:3NOGSDW2

pith:2026:3NOGSDW2T7FKW2IHYYFIDD4VYY

not attested not anchored not stored refs pending

Guiding LLM-based Loop Invariant Synthesis via Feedback on Local Reasoning Errors

Junhao Liu, Peng Di, Tianchi Li, Xin Zhang, Zhenyu Yan

arxiv:2605.17914 v1 · 2026-05-18 · 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{3NOGSDW2T7FKW2IHYYFIDD4VYY}

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	2026-05-20T00:05:05.664213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db5c690eda9fcaab6907c60a818f95c6088ddf0b11035da248d8ed6c0ab3a70b

Aliases

arxiv: 2605.17914 · arxiv_version: 2605.17914v1 · doi: 10.48550/arxiv.2605.17914 · pith_short_12: 3NOGSDW2T7FK · pith_short_16: 3NOGSDW2T7FKW2IH · pith_short_8: 3NOGSDW2

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/3NOGSDW2T7FKW2IHYYFIDD4VYY \
  | 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: db5c690eda9fcaab6907c60a818f95c6088ddf0b11035da248d8ed6c0ab3a70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4fd81aaab601e6548e7e25643ec658bb92d055f2d45558c17ae9fdb360872ef",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.PL",
    "submitted_at": "2026-05-18T06:23:03Z",
    "title_canon_sha256": "b407e54338fa6796096fcbb3afce5bd9132b4c57a8cb062ab333a63f8dab36bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17914",
    "kind": "arxiv",
    "version": 1
  }
}