Pith Number

pith:Z7P2BMEZ

pith:2024:Z7P2BMEZ6FBWC4SNA7ZFNYHQ2D

not attested not anchored not stored refs pending

Eyeballing Combinatorial Problems: A Case Study of Using Multimodal Large Language Models to Solve Traveling Salesman Problems

Ahmed Abdelhay, Ahmed Jaber, Andry Rakotonirainy, Huthaifa I Ashqar, Mohammed Elhenawy, Sebastien Glaser, Shadi Jaradat, Taqwa I. Alhadidi

arxiv:2406.06865 v1 · 2024-06-11 · 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{Z7P2BMEZ6FBWC4SNA7ZFNYHQ2D}

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.

Cited by

1 paper in Pith

Bridging Visualization and Optimization: Multimodal Large Language Models on Graph-Structured Combinatorial Optimization

Receipt and verification

First computed	2026-07-05T08:29:51.396562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfdfa0b099f14361724d07f256e0f0d0cceec59dc456fd3dcb36bd2e7cc6024f

Aliases

arxiv: 2406.06865 · arxiv_version: 2406.06865v1 · doi: 10.48550/arxiv.2406.06865 · pith_short_12: Z7P2BMEZ6FBW · pith_short_16: Z7P2BMEZ6FBWC4SN · pith_short_8: Z7P2BMEZ

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/Z7P2BMEZ6FBWC4SNA7ZFNYHQ2D \
  | 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: cfdfa0b099f14361724d07f256e0f0d0cceec59dc456fd3dcb36bd2e7cc6024f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e45288a3eb62b562a087b78e114369542e5ed9146e122ce5b7d3ddbad64277",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2024-06-11T00:41:08Z",
    "title_canon_sha256": "5d87a30706d2493074bd431966df2a19986edbbae20ddf5f573e0d32b510cee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06865",
    "kind": "arxiv",
    "version": 1
  }
}