Pith Number

pith:G4PPUCIR

pith:2022:G4PPUCIRZ2VKLB66EBMMWQENOH

not attested not anchored not stored refs pending

On Representing Linear Programs by Graph Neural Networks

Jialin Liu, Jianfeng Lu, Wotao Yin, Xinshang Wang, Ziang Chen

arxiv:2209.12288 v2 · 2022-09-25 · cs.LG · math.OC

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\usepackage{pith}
\pithnumber{G4PPUCIRZ2VKLB66EBMMWQENOH}

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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

Feature Augmentation of GNNs for ILPs: Local Uniqueness Suffices

Receipt and verification

First computed	2026-07-05T06:14:05.233141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371efa0911ceaaa587de2058cb408d71dd0ffec2030998bf0cec0a459ace8765

Aliases

arxiv: 2209.12288 · arxiv_version: 2209.12288v2 · doi: 10.48550/arxiv.2209.12288 · pith_short_12: G4PPUCIRZ2VK · pith_short_16: G4PPUCIRZ2VKLB66 · pith_short_8: G4PPUCIR

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/G4PPUCIRZ2VKLB66EBMMWQENOH \
  | 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: 371efa0911ceaaa587de2058cb408d71dd0ffec2030998bf0cec0a459ace8765

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e4ff2dffbe732783e6797ff77ac4f375c287ce0696319182800c4b713be5ca",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-09-25T18:27:33Z",
    "title_canon_sha256": "7d789e372942a60ca8627666aa3ac0eed88efd6ad326470681dfdbaf6bab0837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12288",
    "kind": "arxiv",
    "version": 2
  }
}