Pith Number

pith:7FBCY6F7

pith:2026:7FBCY6F7X5QIVCY56Y3WQFTZDO

not attested not anchored not stored refs pending

Beyond Objective Equivalence: Constraint Injection for LLM-Based Optimization Modeling on Vehicle Routing Problems

Changhong He, Chenggong Shi, Dongdong Geng, Xizi Luo, Yu Mei

arxiv:2606.04816 v1 · 2026-06-03 · cs.AI · 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{7FBCY6F7X5QIVCY56Y3WQFTZDO}

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	2026-06-04T01:09:31.111646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9422c78bfbf608a8b1df6376816791b8e1dfc0fde780510681b916cbae98e5e

Aliases

arxiv: 2606.04816 · arxiv_version: 2606.04816v1 · doi: 10.48550/arxiv.2606.04816 · pith_short_12: 7FBCY6F7X5QI · pith_short_16: 7FBCY6F7X5QIVCY5 · pith_short_8: 7FBCY6F7

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/7FBCY6F7X5QIVCY56Y3WQFTZDO \
  | 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: f9422c78bfbf608a8b1df6376816791b8e1dfc0fde780510681b916cbae98e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd7c547a8c760c13f19fafbb50f9c3aadf7adf04661d66a867254d2092a4013",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-03T12:39:04Z",
    "title_canon_sha256": "ff0792e68c70d04e5f12f44175041087447b7b4303a791e6ba9182703321e432"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04816",
    "kind": "arxiv",
    "version": 1
  }
}