Pith Number

pith:AZ6VACCQ

pith:2021:AZ6VACCQM44DTCOGMEEJTSDIXC

not attested not anchored not stored refs pending

Combinatorial optimization and reasoning with graph neural networks

Andrea Lodi, Christopher Morris, Didier Ch\'etelat, Elias Khalil, Petar Veli\v{c}kovi\'c, Quentin Cappart

arxiv:2102.09544 v3 · 2021-02-18 · cs.LG · cs.DS · cs.NE · math.OC · 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{AZ6VACCQM44DTCOGMEEJTSDIXC}

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

3 papers in Pith

A note on the convergence guarantees of RLT-based algorithms for polynomial optimization

Learning Dynamic Graph Representations through Timespan View Contrasts

Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Receipt and verification

First computed	2026-07-05T06:47:10.552034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067d50085067383989c6610899c868b8918617d695021b98851d46c115b02fd0

Aliases

arxiv: 2102.09544 · arxiv_version: 2102.09544v3 · doi: 10.48550/arxiv.2102.09544 · pith_short_12: AZ6VACCQM44D · pith_short_16: AZ6VACCQM44DTCOG · pith_short_8: AZ6VACCQ

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/AZ6VACCQM44DTCOGMEEJTSDIXC \
  | 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: 067d50085067383989c6610899c868b8918617d695021b98851d46c115b02fd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74271491ffd61fb807b6c04bcb19acb29b5fb6cc74950d9b048e7c9a3ff126e6",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.NE",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-18T18:47:20Z",
    "title_canon_sha256": "9fff0d7956e49d443e057a0e46c8b11b00797e40027d0a97a800b5f11188f8bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09544",
    "kind": "arxiv",
    "version": 3
  }
}