{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:OG4RNA4QFT35RXSVR5ENXNN5HQ","short_pith_number":"pith:OG4RNA4Q","canonical_record":{"source":{"id":"1705.04959","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-14T12:56:35Z","cross_cats_sorted":[],"title_canon_sha256":"de52307bd0661912e1d957862e5d6e2e0a8e5b260431d3e309294d59bcbc1f19","abstract_canon_sha256":"105517843c6c47e2ca862aee042e6c0e6fab7440b1b669b6662f44e43565091b"},"schema_version":"1.0"},"canonical_sha256":"71b91683902cf7d8de558f48dbb5bd3c12e594a354c9af9b66ae8dc7f16f55e9","source":{"kind":"arxiv","id":"1705.04959","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04959","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04959v2","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04959","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"OG4RNA4QFT35","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OG4RNA4QFT35RXSV","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OG4RNA4Q","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:OG4RNA4QFT35RXSVR5ENXNN5HQ","target":"record","payload":{"canonical_record":{"source":{"id":"1705.04959","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-14T12:56:35Z","cross_cats_sorted":[],"title_canon_sha256":"de52307bd0661912e1d957862e5d6e2e0a8e5b260431d3e309294d59bcbc1f19","abstract_canon_sha256":"105517843c6c47e2ca862aee042e6c0e6fab7440b1b669b6662f44e43565091b"},"schema_version":"1.0"},"canonical_sha256":"71b91683902cf7d8de558f48dbb5bd3c12e594a354c9af9b66ae8dc7f16f55e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:16.244111Z","signature_b64":"6ysMDLjhqPHxS02uFcKI10bJ5EslV52CD0KWclCowv16gc1LjveTAE9DFJGVvSlhXKPc7t6j2L5GL8rUZFoyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"71b91683902cf7d8de558f48dbb5bd3c12e594a354c9af9b66ae8dc7f16f55e9","last_reissued_at":"2026-05-17T23:47:16.243710Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:16.243710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.04959","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":"2026-05-17T23:47:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UjxXi9y2sTyd0OgBOSxLT/XLwOGCywwiuuDWMCraIWk1K+N3tNJjPJudZ7kA05aKTfp5OR8PuufjMe5If99BBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T04:20:05.377026Z"},"content_sha256":"4a3b72ad46e4383d02d6275e1cd872d2398d416869453f388f3da3090492d00b","schema_version":"1.0","event_id":"sha256:4a3b72ad46e4383d02d6275e1cd872d2398d416869453f388f3da3090492d00b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:OG4RNA4QFT35RXSVR5ENXNN5HQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simplex-type algorithm for continuous linear programs with constant coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Evgeny Shindin, Gideon Weiss","submitted_at":"2017-05-14T12:56:35Z","abstract_excerpt":"We consider continuous linear programs over a continuous finite time horizon $T$, with a constant coefficient matrix, linear right hand side functions and linear cost coefficient functions, where we search for optimal solutions in the space of measures or of functions of bounded variation. These models generalize the separated continuous linear programming models and their various duals, as formulated in the past by Anderson, by Pullan, and by Weiss. In previous papers we have shown that these problems possess optimal strongly dual solutions. We also have presented a detailed description of op"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04959","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":"2026-05-17T23:47:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yyzw//Yv/0R7EAcYYTFnb/dvT6nh2eClK638qn3vqzu7Vzoa0IHj2Ww7bBjuNcjKu03Te7Zd08R1vaUu6bFABg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T04:20:05.377388Z"},"content_sha256":"7b7dd8c5ff31a030acdf54220d4c59e439560962a1a6a71b6012dc258b840d03","schema_version":"1.0","event_id":"sha256:7b7dd8c5ff31a030acdf54220d4c59e439560962a1a6a71b6012dc258b840d03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ/bundle.json","state_url":"https://pith.science/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ/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":"2026-06-21T04:20:05Z","links":{"resolver":"https://pith.science/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ","bundle":"https://pith.science/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ/bundle.json","state":"https://pith.science/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OG4RNA4QFT35RXSVR5ENXNN5HQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OG4RNA4QFT35RXSVR5ENXNN5HQ","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":"105517843c6c47e2ca862aee042e6c0e6fab7440b1b669b6662f44e43565091b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-14T12:56:35Z","title_canon_sha256":"de52307bd0661912e1d957862e5d6e2e0a8e5b260431d3e309294d59bcbc1f19"},"schema_version":"1.0","source":{"id":"1705.04959","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04959","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04959v2","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04959","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"OG4RNA4QFT35","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OG4RNA4QFT35RXSV","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OG4RNA4Q","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:7b7dd8c5ff31a030acdf54220d4c59e439560962a1a6a71b6012dc258b840d03","target":"graph","created_at":"2026-05-17T23:47:16Z","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 continuous linear programs over a continuous finite time horizon $T$, with a constant coefficient matrix, linear right hand side functions and linear cost coefficient functions, where we search for optimal solutions in the space of measures or of functions of bounded variation. These models generalize the separated continuous linear programming models and their various duals, as formulated in the past by Anderson, by Pullan, and by Weiss. In previous papers we have shown that these problems possess optimal strongly dual solutions. We also have presented a detailed description of op","authors_text":"Evgeny Shindin, Gideon Weiss","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-14T12:56:35Z","title":"A simplex-type algorithm for continuous linear programs with constant coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04959","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":"sha256:4a3b72ad46e4383d02d6275e1cd872d2398d416869453f388f3da3090492d00b","target":"record","created_at":"2026-05-17T23:47:16Z","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":"105517843c6c47e2ca862aee042e6c0e6fab7440b1b669b6662f44e43565091b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-05-14T12:56:35Z","title_canon_sha256":"de52307bd0661912e1d957862e5d6e2e0a8e5b260431d3e309294d59bcbc1f19"},"schema_version":"1.0","source":{"id":"1705.04959","kind":"arxiv","version":2}},"canonical_sha256":"71b91683902cf7d8de558f48dbb5bd3c12e594a354c9af9b66ae8dc7f16f55e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71b91683902cf7d8de558f48dbb5bd3c12e594a354c9af9b66ae8dc7f16f55e9","first_computed_at":"2026-05-17T23:47:16.243710Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:16.243710Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ysMDLjhqPHxS02uFcKI10bJ5EslV52CD0KWclCowv16gc1LjveTAE9DFJGVvSlhXKPc7t6j2L5GL8rUZFoyAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:16.244111Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04959","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a3b72ad46e4383d02d6275e1cd872d2398d416869453f388f3da3090492d00b","sha256:7b7dd8c5ff31a030acdf54220d4c59e439560962a1a6a71b6012dc258b840d03"],"state_sha256":"308db5efdf2bf656164058ea6c0338eb644591f4a8574ea5d2dbb4e702382099"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qHNDh3+KpEyRGbD0XtymCzJQM62t9n8RaFc6U8pm1iWNnjJ8Qqa9HQj/B//pHP+SzA+iJ5e4FTNX6lFB8Q7DBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T04:20:05.379290Z","bundle_sha256":"249a4518117201af026b168780a8591a5598fdd92ba69f8fdcbd65bc5dbca0cc"}}