{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SMKT5OVWP3VZJ6BOV6RCJHUHUB","short_pith_number":"pith:SMKT5OVW","canonical_record":{"source":{"id":"1809.09678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-25T19:31:52Z","cross_cats_sorted":[],"title_canon_sha256":"737f02e1be23395546b2c49ebcbfb8da572c217415cbb7b387723ca6856d8e36","abstract_canon_sha256":"b5f73143cbfaf8589635fa2d973b779b158c1950676bf0087676a07dbb527a62"},"schema_version":"1.0"},"canonical_sha256":"93153ebab67eeb94f82eafa2249e87a077700c663dde1d629ad1496a47d6c642","source":{"kind":"arxiv","id":"1809.09678","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09678","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09678v1","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09678","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"SMKT5OVWP3VZ","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SMKT5OVWP3VZJ6BO","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SMKT5OVW","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SMKT5OVWP3VZJ6BOV6RCJHUHUB","target":"record","payload":{"canonical_record":{"source":{"id":"1809.09678","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-25T19:31:52Z","cross_cats_sorted":[],"title_canon_sha256":"737f02e1be23395546b2c49ebcbfb8da572c217415cbb7b387723ca6856d8e36","abstract_canon_sha256":"b5f73143cbfaf8589635fa2d973b779b158c1950676bf0087676a07dbb527a62"},"schema_version":"1.0"},"canonical_sha256":"93153ebab67eeb94f82eafa2249e87a077700c663dde1d629ad1496a47d6c642","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:44.071677Z","signature_b64":"0j0caSy/3L8Cpp7JwoBM0nt5VoaHw//Bxsr0N6nCxDkGfEfCdBgf+Q0uAUZqLUaTk6cuEHLQizgjeA553A6WBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93153ebab67eeb94f82eafa2249e87a077700c663dde1d629ad1496a47d6c642","last_reissued_at":"2026-05-18T00:04:44.071051Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:44.071051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.09678","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o3Scq/6//e9NTPmAtoQakcrggjpqTOVWcWa4j9LI0Oh4ZvQJkjAv+RD23nlj4x2r0+uHcIUGlygArpevvDTrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:05:03.158007Z"},"content_sha256":"d623e7d473a69017ed4b3fa802067cef14cd95c1f14df0d3334662baa8609121","schema_version":"1.0","event_id":"sha256:d623e7d473a69017ed4b3fa802067cef14cd95c1f14df0d3334662baa8609121"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SMKT5OVWP3VZJ6BOV6RCJHUHUB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A general space-time model for combinatorial optimization problems (and not only)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Maria Barbati, Salvatore Corrente, Salvatore Greco","submitted_at":"2018-09-25T19:31:52Z","abstract_excerpt":"We consider the problem of defining a strategy consisting of a set of facilities taking into account also the location where they have to be assigned and the time in which they have to be activated. The facilities are evaluated with respect to a set of criteria. The plan has to be devised respecting some constraints related to different aspects of the problem such as precedence restrictions due to the nature of the facilities. Among the constraints, there are some related to the available budget. We consider also the uncertainty related to the performances of the facilities with respect to con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09678","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:04:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ijOgmyftnUmjjQ5qqNfoSyyEkcrRPTrMcoK//cEoLE+Q5MSeW50FBX7M7QLQWw3FRudt/gpzg10eU3WoYdDxBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:05:03.158369Z"},"content_sha256":"db7110e98300fa338bbd599bc5a79b7e688391841e500b0ecdec18b5be17f259","schema_version":"1.0","event_id":"sha256:db7110e98300fa338bbd599bc5a79b7e688391841e500b0ecdec18b5be17f259"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB/bundle.json","state_url":"https://pith.science/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-27T17:05:03Z","links":{"resolver":"https://pith.science/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB","bundle":"https://pith.science/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB/bundle.json","state":"https://pith.science/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMKT5OVWP3VZJ6BOV6RCJHUHUB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SMKT5OVWP3VZJ6BOV6RCJHUHUB","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":"b5f73143cbfaf8589635fa2d973b779b158c1950676bf0087676a07dbb527a62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-25T19:31:52Z","title_canon_sha256":"737f02e1be23395546b2c49ebcbfb8da572c217415cbb7b387723ca6856d8e36"},"schema_version":"1.0","source":{"id":"1809.09678","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09678","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09678v1","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09678","created_at":"2026-05-18T00:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"SMKT5OVWP3VZ","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SMKT5OVWP3VZJ6BO","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SMKT5OVW","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:db7110e98300fa338bbd599bc5a79b7e688391841e500b0ecdec18b5be17f259","target":"graph","created_at":"2026-05-18T00:04:44Z","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 consider the problem of defining a strategy consisting of a set of facilities taking into account also the location where they have to be assigned and the time in which they have to be activated. The facilities are evaluated with respect to a set of criteria. The plan has to be devised respecting some constraints related to different aspects of the problem such as precedence restrictions due to the nature of the facilities. Among the constraints, there are some related to the available budget. We consider also the uncertainty related to the performances of the facilities with respect to con","authors_text":"Maria Barbati, Salvatore Corrente, Salvatore Greco","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-25T19:31:52Z","title":"A general space-time model for combinatorial optimization problems (and not only)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09678","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:d623e7d473a69017ed4b3fa802067cef14cd95c1f14df0d3334662baa8609121","target":"record","created_at":"2026-05-18T00:04:44Z","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":"b5f73143cbfaf8589635fa2d973b779b158c1950676bf0087676a07dbb527a62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-09-25T19:31:52Z","title_canon_sha256":"737f02e1be23395546b2c49ebcbfb8da572c217415cbb7b387723ca6856d8e36"},"schema_version":"1.0","source":{"id":"1809.09678","kind":"arxiv","version":1}},"canonical_sha256":"93153ebab67eeb94f82eafa2249e87a077700c663dde1d629ad1496a47d6c642","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93153ebab67eeb94f82eafa2249e87a077700c663dde1d629ad1496a47d6c642","first_computed_at":"2026-05-18T00:04:44.071051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:44.071051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0j0caSy/3L8Cpp7JwoBM0nt5VoaHw//Bxsr0N6nCxDkGfEfCdBgf+Q0uAUZqLUaTk6cuEHLQizgjeA553A6WBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:44.071677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.09678","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d623e7d473a69017ed4b3fa802067cef14cd95c1f14df0d3334662baa8609121","sha256:db7110e98300fa338bbd599bc5a79b7e688391841e500b0ecdec18b5be17f259"],"state_sha256":"da7e5feb7ce2505677d180a8731d350f35d3ee58590568ab82213282bbbd28d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1PQbG4ltkG1fhadQq+n2BuS1rH5eGjoeibzDUjmkjCYL3gkN1VRD+RsETkuZpqfoygDsevKROOAtcbd8Ic4QDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T17:05:03.160209Z","bundle_sha256":"1f2c06d00f801bc19a15e132efd985b0236b47a8677f44edd45cf757e9b18bf9"}}