{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:V5UF7HV45SNVXAG77YADULE7B3","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":"e4e0d9f8817ab07ac6dd37719da8417b8641ac2eb100b3580b9e158a595bb189","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-27T18:21:04Z","title_canon_sha256":"4c632372b09606c4b4b8686eee83ea79858a290a5a921deb9c6c36e6dfea5dea"},"schema_version":"1.0","source":{"id":"1605.08742","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.08742","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1605.08742v4","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.08742","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"V5UF7HV45SNV","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"V5UF7HV45SNVXAG7","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"V5UF7HV4","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:5695a5e79d2d6e1016199f05e44c58d0bc8ca3f4ea3b512af3aac085202a6ec1","target":"graph","created_at":"2026-05-18T01:09:41Z","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":"In this paper we give a new aggregation framework for linear Diophantine equations. In particular, we prove that an aggregated system of minimum size can be built in polynomial time. We also derive an analytic formula that gives the number of solutions of the system when it is possible to aggregate the system into one equation.","authors_text":"Leo Liberti, Pierre-Louis Poirion, Vu Khac Ky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-27T18:21:04Z","title":"On an optimal constraint aggregation method for integer programming and on an analytic expression of the number of integer points in a polytope"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.08742","kind":"arxiv","version":4},"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:d4e452da5e097130907e3af688fffff22d040feb058abf01a6177ec86ae5e1df","target":"record","created_at":"2026-05-18T01:09:41Z","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":"e4e0d9f8817ab07ac6dd37719da8417b8641ac2eb100b3580b9e158a595bb189","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-05-27T18:21:04Z","title_canon_sha256":"4c632372b09606c4b4b8686eee83ea79858a290a5a921deb9c6c36e6dfea5dea"},"schema_version":"1.0","source":{"id":"1605.08742","kind":"arxiv","version":4}},"canonical_sha256":"af685f9ebcec9b5b80dffe003a2c9f0ed0cd7a658f5e98dc95b8001a6b45ec3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af685f9ebcec9b5b80dffe003a2c9f0ed0cd7a658f5e98dc95b8001a6b45ec3a","first_computed_at":"2026-05-18T01:09:41.444380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:41.444380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aCjRDPqn5eX4JWXwosfc/irN6WDC/P3bNyIRpeJbbHYMxdRof9w6ngGBj+jpgROm4VNwo6J4/aRNsq1myeeeAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:41.444976Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.08742","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4e452da5e097130907e3af688fffff22d040feb058abf01a6177ec86ae5e1df","sha256:5695a5e79d2d6e1016199f05e44c58d0bc8ca3f4ea3b512af3aac085202a6ec1"],"state_sha256":"c0f3af3cde72fd172ec92286b582b246e79875882a787d9f2ea39b7a21c747ff"}