Pith Number

pith:V6Q4A2OF

pith:2018:V6Q4A2OFBSLCBAX6QN5NP74FGM

not attested not anchored not stored refs pending

Learning to Solve NP-Complete Problems - A Graph Neural Network for Decision TSP

Henrique Lemos, Luis Lamb, Marcelo O. R. Prates, Moshe Vardi, Pedro H. C. Avelar

arxiv:1809.02721 v3 · 2018-09-08 · cs.LG · cs.AI · cs.NE · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V6Q4A2OFBSLCBAX6QN5NP74FGM}

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	2026-05-18T00:00:34.805940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afa1c069c50c962082fe837ad7ff853321337e8c1ff9aa0fc3794c2bfa23b261

Aliases

arxiv: 1809.02721 · arxiv_version: 1809.02721v3 · doi: 10.48550/arxiv.1809.02721 · pith_short_12: V6Q4A2OFBSLC · pith_short_16: V6Q4A2OFBSLCBAX6 · pith_short_8: V6Q4A2OF

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/V6Q4A2OFBSLCBAX6QN5NP74FGM \
  | 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: afa1c069c50c962082fe837ad7ff853321337e8c1ff9aa0fc3794c2bfa23b261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d899ed4463575e5bfbbc82c09053314efb3c52dc8c3dcec4bdf1e0d9611e28",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-09-08T00:11:51Z",
    "title_canon_sha256": "59e8775d4e1f351efa46afdd1bab106c61163a450920a7191bb93d09a7fbaabe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02721",
    "kind": "arxiv",
    "version": 3
  }
}