{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:THF2QDRSR677MACMYBZUZ2H75X","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":"f850b85355532b677896b5fe3efc7f4c5c2a8ce521b09e7d82e85ad34c8b360a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-27T19:55:19Z","title_canon_sha256":"9d0811c14c81b668f8eb443f69013fafbf5ae66757cd57678086f1b43b36ccd7"},"schema_version":"1.0","source":{"id":"1805.10678","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.10678","created_at":"2026-05-18T00:14:51Z"},{"alias_kind":"arxiv_version","alias_value":"1805.10678v1","created_at":"2026-05-18T00:14:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.10678","created_at":"2026-05-18T00:14:51Z"},{"alias_kind":"pith_short_12","alias_value":"THF2QDRSR677","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"THF2QDRSR677MACM","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"THF2QDRS","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:8e2d062d16a3332d62dad8844a3dc0ebe66a04e0d3907da4bdbee1de449e79f7","target":"graph","created_at":"2026-05-18T00:14:51Z","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"},"paper":{"abstract_excerpt":"We investigate a class of general combinatorial graph problems, including MAX-CUT and community detection, reformulated as quadratic objectives over nonconvex constraints and solved via the alternating direction method of multipliers (ADMM). We propose two reformulations: one using vector variables and a binary constraint, and the other further reformulating the Burer-Monteiro form for simpler subproblems. Despite the nonconvex constraint, we prove the ADMM iterates converge to a stationary point in both formulations, under mild assumptions. Additionally, recent work suggests that in this latt","authors_text":"Chuangchuang Sun, Ran Dai, Yifan Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-27T19:55:19Z","title":"ADMM for combinatorial graph problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.10678","kind":"arxiv","version":1},"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":"sha256:978bb339c183933261af0fadacd7a281b973e4affad8f2610bfe3943ced2de14","target":"record","created_at":"2026-05-18T00:14:51Z","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":"f850b85355532b677896b5fe3efc7f4c5c2a8ce521b09e7d82e85ad34c8b360a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-27T19:55:19Z","title_canon_sha256":"9d0811c14c81b668f8eb443f69013fafbf5ae66757cd57678086f1b43b36ccd7"},"schema_version":"1.0","source":{"id":"1805.10678","kind":"arxiv","version":1}},"canonical_sha256":"99cba80e328fbff6004cc0734ce8ffedebddc3df9fe82f72c563c7507260e81c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99cba80e328fbff6004cc0734ce8ffedebddc3df9fe82f72c563c7507260e81c","first_computed_at":"2026-05-18T00:14:51.751126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:51.751126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NYe4dfxFaKZrRAzDjx74UtDi02dhYEFSa8sriK1PUDCG+t8hm3lVCwvUBljHph5aWAVEHQjSycBa7XDxp1a6CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:51.751633Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.10678","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:978bb339c183933261af0fadacd7a281b973e4affad8f2610bfe3943ced2de14","sha256:8e2d062d16a3332d62dad8844a3dc0ebe66a04e0d3907da4bdbee1de449e79f7"],"state_sha256":"5adad7e2c6427cf64cfafb032bb561c123743c17162dfe94637e5acc62dc048f"}