{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:JSWMBB7QJ2VA7RE6UOV4IUENVR","short_pith_number":"pith:JSWMBB7Q","canonical_record":{"source":{"id":"1210.3761","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-10-14T05:15:20Z","cross_cats_sorted":[],"title_canon_sha256":"7aaca0b8ef6109d3f635e72623146a6798697a4d4c675f0990bf773dd3da3194","abstract_canon_sha256":"0cc5461821ef4c4db69794eea430776bcb5a5742ec513149e7961be98ca96f95"},"schema_version":"1.0"},"canonical_sha256":"4cacc087f04eaa0fc49ea3abc4508dac49c17b2142c273410d1863729c046a02","source":{"kind":"arxiv","id":"1210.3761","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3761","created_at":"2026-05-18T03:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3761v2","created_at":"2026-05-18T03:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3761","created_at":"2026-05-18T03:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"JSWMBB7QJ2VA","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JSWMBB7QJ2VA7RE6","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JSWMBB7Q","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:JSWMBB7QJ2VA7RE6UOV4IUENVR","target":"record","payload":{"canonical_record":{"source":{"id":"1210.3761","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-10-14T05:15:20Z","cross_cats_sorted":[],"title_canon_sha256":"7aaca0b8ef6109d3f635e72623146a6798697a4d4c675f0990bf773dd3da3194","abstract_canon_sha256":"0cc5461821ef4c4db69794eea430776bcb5a5742ec513149e7961be98ca96f95"},"schema_version":"1.0"},"canonical_sha256":"4cacc087f04eaa0fc49ea3abc4508dac49c17b2142c273410d1863729c046a02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:53.623651Z","signature_b64":"Ew1AQCGE+IvsilTRITSbKnCUZFy8qJt9pnQKk5T+wl8FUydCfidGnQhpTnMp8BliUycA04DQKzq4AvY7ndrUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cacc087f04eaa0fc49ea3abc4508dac49c17b2142c273410d1863729c046a02","last_reissued_at":"2026-05-18T03:28:53.623059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:53.623059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.3761","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WV5AsGwbVIO0YmcBgET3NDVHu29L/bWVmuqRPrvyIw4A/lt/k0dzwUIBAECx3PRbNNa/cSIq5AQVz6wufsliBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:36:27.976787Z"},"content_sha256":"db20041723d8c698f131d5f1eab85fa9557e0b49676a5af496997e735833e647","schema_version":"1.0","event_id":"sha256:db20041723d8c698f131d5f1eab85fa9557e0b49676a5af496997e735833e647"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:JSWMBB7QJ2VA7RE6UOV4IUENVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"ILP Modulo Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Panagiotis Manolios, Vasilis Papavasileiou","submitted_at":"2012-10-14T05:15:20Z","abstract_excerpt":"We present Integer Linear Programming (ILP) Modulo Theories (IMT). An IMT instance is an Integer Linear Programming instance, where some symbols have interpretations in background theories. In previous work, the IMT approach has been applied to industrial synthesis and design problems with real-time constraints arising in the development of the Boeing 787. Many other problems ranging from operations research to software verification routinely involve linear constraints and optimization. Thus, a general ILP Modulo Theories framework has the potential to be widely applicable. The logical next st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3761","kind":"arxiv","version":2},"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":"2026-05-18T03:28:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tHSwgQfgkX/QEeiBSFwNnQ/5rl1LO14a37pIFjESmgN/I/qSVSSgRoAj9hVHVu5wX0H3o3g5xBcE8YhWpm19Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:36:27.977581Z"},"content_sha256":"c9d9306e28ae87685165c71405c1c7a340bcab9452f15582fdfbdc3df0a8b012","schema_version":"1.0","event_id":"sha256:c9d9306e28ae87685165c71405c1c7a340bcab9452f15582fdfbdc3df0a8b012"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR/bundle.json","state_url":"https://pith.science/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR/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":"2026-06-11T19:36:27Z","links":{"resolver":"https://pith.science/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR","bundle":"https://pith.science/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR/bundle.json","state":"https://pith.science/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JSWMBB7QJ2VA7RE6UOV4IUENVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JSWMBB7QJ2VA7RE6UOV4IUENVR","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":"0cc5461821ef4c4db69794eea430776bcb5a5742ec513149e7961be98ca96f95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-10-14T05:15:20Z","title_canon_sha256":"7aaca0b8ef6109d3f635e72623146a6798697a4d4c675f0990bf773dd3da3194"},"schema_version":"1.0","source":{"id":"1210.3761","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.3761","created_at":"2026-05-18T03:28:53Z"},{"alias_kind":"arxiv_version","alias_value":"1210.3761v2","created_at":"2026-05-18T03:28:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3761","created_at":"2026-05-18T03:28:53Z"},{"alias_kind":"pith_short_12","alias_value":"JSWMBB7QJ2VA","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JSWMBB7QJ2VA7RE6","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JSWMBB7Q","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:c9d9306e28ae87685165c71405c1c7a340bcab9452f15582fdfbdc3df0a8b012","target":"graph","created_at":"2026-05-18T03:28:53Z","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"},"paper":{"abstract_excerpt":"We present Integer Linear Programming (ILP) Modulo Theories (IMT). An IMT instance is an Integer Linear Programming instance, where some symbols have interpretations in background theories. In previous work, the IMT approach has been applied to industrial synthesis and design problems with real-time constraints arising in the development of the Boeing 787. Many other problems ranging from operations research to software verification routinely involve linear constraints and optimization. Thus, a general ILP Modulo Theories framework has the potential to be widely applicable. The logical next st","authors_text":"Panagiotis Manolios, Vasilis Papavasileiou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-10-14T05:15:20Z","title":"ILP Modulo Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3761","kind":"arxiv","version":2},"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:db20041723d8c698f131d5f1eab85fa9557e0b49676a5af496997e735833e647","target":"record","created_at":"2026-05-18T03:28:53Z","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":"0cc5461821ef4c4db69794eea430776bcb5a5742ec513149e7961be98ca96f95","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-10-14T05:15:20Z","title_canon_sha256":"7aaca0b8ef6109d3f635e72623146a6798697a4d4c675f0990bf773dd3da3194"},"schema_version":"1.0","source":{"id":"1210.3761","kind":"arxiv","version":2}},"canonical_sha256":"4cacc087f04eaa0fc49ea3abc4508dac49c17b2142c273410d1863729c046a02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cacc087f04eaa0fc49ea3abc4508dac49c17b2142c273410d1863729c046a02","first_computed_at":"2026-05-18T03:28:53.623059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:53.623059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ew1AQCGE+IvsilTRITSbKnCUZFy8qJt9pnQKk5T+wl8FUydCfidGnQhpTnMp8BliUycA04DQKzq4AvY7ndrUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:53.623651Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.3761","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db20041723d8c698f131d5f1eab85fa9557e0b49676a5af496997e735833e647","sha256:c9d9306e28ae87685165c71405c1c7a340bcab9452f15582fdfbdc3df0a8b012"],"state_sha256":"192b42a3323df980291a229fe3ec9417c828549efaa01fb0ab698e2a9908e116"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wvXpvBsKpszhXwEOaJ6rHG9ggXDccmI9CwR99hi/FA83UGEkygtYrnn4r/8UL+oLyA3pFA2ZmWrWpfJ17uuCBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T19:36:27.981625Z","bundle_sha256":"4f5aa306cff28e0b49e8270570bca5a8fabdfa1a063cf5808fb43d2d8df25d94"}}