Pith Number

pith:NBK3VTJI

pith:2025:NBK3VTJIFUYVJ5JGLPU67Y4NNB

not attested not anchored not stored refs pending

$T^3$: Multi-level Tree-based Automatic Program Repair with Large Language Models

Quanming Liu, Ru Li, Xupeng Bu, Zhichao Yan

arxiv:2506.21211 v1 · 2025-06-26 · cs.SE · 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{NBK3VTJIFUYVJ5JGLPU67Y4NNB}

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	2026-07-05T11:27:41.513819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6855bacd282d3154f5265be9efe38d68741eb6734809d7a8d490c2af0a44a36f

Aliases

arxiv: 2506.21211 · arxiv_version: 2506.21211v1 · doi: 10.48550/arxiv.2506.21211 · pith_short_12: NBK3VTJIFUYV · pith_short_16: NBK3VTJIFUYVJ5JG · pith_short_8: NBK3VTJI

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/NBK3VTJIFUYVJ5JGLPU67Y4NNB \
  | 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: 6855bacd282d3154f5265be9efe38d68741eb6734809d7a8d490c2af0a44a36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5223694f4396d2545f402bee7f158ff160ecb6d44418f073319eca3adedb07a5",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2025-06-26T13:04:28Z",
    "title_canon_sha256": "9f92e429e381ace86ca8edaebe735103342d709b9a4171063f3b140f668e9cdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21211",
    "kind": "arxiv",
    "version": 1
  }
}