Pith Number

pith:JLBF6Z3M

pith:2026:JLBF6Z3MO7OEUP3PJ6MR2WUFD6

not attested not anchored not stored refs pending

Adversarial Instance Generation and Robust Training for Neural Combinatorial Optimization with Multiple Objectives

Thomas B\"ack, Wei Liu, Yaoxin Wu, Yingjie Fan, Yingqian Zhang

arxiv:2601.01665 v2 · 2026-01-04 · cs.LG · 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{JLBF6Z3MO7OEUP3PJ6MR2WUFD6}

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	2026-06-09T01:05:12.232279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ac25f676c77dc4a3f6f4f991d5a851fb65b9eb3426a2551cb6b2364cd4c412c

Aliases

arxiv: 2601.01665 · arxiv_version: 2601.01665v2 · doi: 10.48550/arxiv.2601.01665 · pith_short_12: JLBF6Z3MO7OE · pith_short_16: JLBF6Z3MO7OEUP3P · pith_short_8: JLBF6Z3M

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/JLBF6Z3MO7OEUP3PJ6MR2WUFD6 \
  | 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: 4ac25f676c77dc4a3f6f4f991d5a851fb65b9eb3426a2551cb6b2364cd4c412c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "715f1515d4fc9f9134eb3d52c50eeb707a42e2cdb570ff81930dcca6a0d50ab1",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-01-04T20:57:43Z",
    "title_canon_sha256": "95b758d486264aaa51996d2abb977e3c71022092e4e7de89fbeddc8d863f1eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.01665",
    "kind": "arxiv",
    "version": 2
  }
}