{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:V7UDU7IKFAGE5HXEM2IWKO6LXH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bf435c888fe01d6a4e5a7cbd11fd3443849a8e310c0176e11beed23065a1cd3a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-28T00:15:57Z","title_canon_sha256":"22b410d466cd04961263953a56fe3253f1cfcff67eb6b3a3017b060061bc9abf"},"schema_version":"1.0","source":{"id":"2508.20330","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.20330","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"2508.20330v5","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.20330","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"V7UDU7IKFAGE","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"pith_short_16","alias_value":"V7UDU7IKFAGE5HXE","created_at":"2026-06-19T16:10:53Z"},{"alias_kind":"pith_short_8","alias_value":"V7UDU7IK","created_at":"2026-06-19T16:10:53Z"}],"graph_snapshots":[{"event_id":"sha256:3f0274dec4640ca5c8d86eabcf1d80d5f6c3b4fa91552bf38b6b4ffd14589637","target":"graph","created_at":"2026-06-19T16:10:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2508.20330/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Combinatorial optimization problems are ubiquitous in science and engineering. Still, learning-based approaches to accelerate combinatorial optimization often require solving a large number of difficult instances to collect training data, incurring significant computational cost. Existing learning-based methods require training dedicated models for each problem distribution, for each downstream task, severely limiting their scalability and generalization. We introduce Forge: Foundational Optimization Representations from Graph Embeddings, a framework that pre-trains a vector-quantized graph au","authors_text":"Serdar Kadioglu, Zohair Shafi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-28T00:15:57Z","title":"FORGE: Foundational Optimization Representations from Graph Embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.20330","kind":"arxiv","version":5},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1a71bf95f015dd780ac3ef56cea0b3a7f52b599f86aa3821b5f8b9cca5761525","target":"record","created_at":"2026-06-19T16:10:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bf435c888fe01d6a4e5a7cbd11fd3443849a8e310c0176e11beed23065a1cd3a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-08-28T00:15:57Z","title_canon_sha256":"22b410d466cd04961263953a56fe3253f1cfcff67eb6b3a3017b060061bc9abf"},"schema_version":"1.0","source":{"id":"2508.20330","kind":"arxiv","version":5}},"canonical_sha256":"afe83a7d0a280c4e9ee46691653bcbb9f269629f061c7b85b897bc5282e9d6a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afe83a7d0a280c4e9ee46691653bcbb9f269629f061c7b85b897bc5282e9d6a7","first_computed_at":"2026-06-19T16:10:53.717833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:53.717833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SgrQtDIVytgxo/Ausd0mbN2CR50seLq/U+WHhBoiofcUy/xFRFfhMblYtHSZQowTW1adgMdvqQo8/Yd0AQnuCQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:53.718267Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.20330","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a71bf95f015dd780ac3ef56cea0b3a7f52b599f86aa3821b5f8b9cca5761525","sha256:3f0274dec4640ca5c8d86eabcf1d80d5f6c3b4fa91552bf38b6b4ffd14589637"],"state_sha256":"c7eebc48114b1f37d46ff426ba5516757fb5e0c4496d4408bda8b1cc950b6480"}