{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:ABQPSPZSZNQ4B7ALIAL2P4CCUL","short_pith_number":"pith:ABQPSPZS","canonical_record":{"source":{"id":"2208.11832","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-25T02:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"98e9dfafd748e2f871e1e2a702235fd4333095a8165850a9f37cbc5e30364051","abstract_canon_sha256":"64119664acf4263841258af711ff4ff4ba796d14b5fb7f69699fa81dd51372bd"},"schema_version":"1.0"},"canonical_sha256":"0060f93f32cb61c0fc0b4017a7f042a2dab1e3b767d060f4dd9a29d9c799ba7d","source":{"kind":"arxiv","id":"2208.11832","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.11832","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"2208.11832v4","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.11832","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"ABQPSPZSZNQ4","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"pith_short_16","alias_value":"ABQPSPZSZNQ4B7AL","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"pith_short_8","alias_value":"ABQPSPZS","created_at":"2026-07-05T09:18:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:ABQPSPZSZNQ4B7ALIAL2P4CCUL","target":"record","payload":{"canonical_record":{"source":{"id":"2208.11832","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-25T02:40:51Z","cross_cats_sorted":[],"title_canon_sha256":"98e9dfafd748e2f871e1e2a702235fd4333095a8165850a9f37cbc5e30364051","abstract_canon_sha256":"64119664acf4263841258af711ff4ff4ba796d14b5fb7f69699fa81dd51372bd"},"schema_version":"1.0"},"canonical_sha256":"0060f93f32cb61c0fc0b4017a7f042a2dab1e3b767d060f4dd9a29d9c799ba7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:18:17.818008Z","signature_b64":"/UH0KXv/dPFs8XIpnybUBGKKNnuAWUdExfGr5GaRlY5UwUNUKl28EZtAP5SJQNyhMg5I72GTm79/oSAM44/YCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0060f93f32cb61c0fc0b4017a7f042a2dab1e3b767d060f4dd9a29d9c799ba7d","last_reissued_at":"2026-07-05T09:18:17.817480Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:18:17.817480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.11832","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:18:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dr0yWBq78te+QwPiOW5cjK0d4VUZSMsC7bdWtB6YFsPuepBrWeeJOjspYpio7/BqhqSDlVJG2DC3dAmWcEdaBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T09:00:30.140703Z"},"content_sha256":"664ae8fa958aff478f6c986c18e5b2c4efe880a773d0f366b3db3ea59973ee9b","schema_version":"1.0","event_id":"sha256:664ae8fa958aff478f6c986c18e5b2c4efe880a773d0f366b3db3ea59973ee9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:ABQPSPZSZNQ4B7ALIAL2P4CCUL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximation Algorithm for Generalized Budgeted Assignment Problems and Applications in Transportation Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Hongyi Jiang, Samitha Samaranayake","submitted_at":"2022-08-25T02:40:51Z","abstract_excerpt":"Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost $c_l$ and an $n_l$-dimensional capacity vector. Each item $p$ has an $n_l$-dimensional binary weight vector $r_{lp}$, where the $1$s in $r_{lp}$ (if any) appear in consecutive positions, and its assignment to bin $l$ yields a reward $v_{lp}$. The objective is to maximize total rewards through an assignment that satisfies three constraints: (i) the total weight"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.11832","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.11832/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:18:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/mvPTjJASDyBtksm/SzhZdE7rG8FfHzW7EBvP+yoTu96NKrddDaAffFDILI2iWR0B3sPvTWnD1gr30aTS7O5CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-09T09:00:30.141070Z"},"content_sha256":"78ca869459811cf3ee23edf377cb969cdf5bf67d0477800dc3529614c6766b79","schema_version":"1.0","event_id":"sha256:78ca869459811cf3ee23edf377cb969cdf5bf67d0477800dc3529614c6766b79"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL/bundle.json","state_url":"https://pith.science/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL/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":"2026-07-09T09:00:30Z","links":{"resolver":"https://pith.science/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL","bundle":"https://pith.science/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL/bundle.json","state":"https://pith.science/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ABQPSPZSZNQ4B7ALIAL2P4CCUL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:ABQPSPZSZNQ4B7ALIAL2P4CCUL","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":"64119664acf4263841258af711ff4ff4ba796d14b5fb7f69699fa81dd51372bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-25T02:40:51Z","title_canon_sha256":"98e9dfafd748e2f871e1e2a702235fd4333095a8165850a9f37cbc5e30364051"},"schema_version":"1.0","source":{"id":"2208.11832","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.11832","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"2208.11832v4","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.11832","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"ABQPSPZSZNQ4","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"pith_short_16","alias_value":"ABQPSPZSZNQ4B7AL","created_at":"2026-07-05T09:18:17Z"},{"alias_kind":"pith_short_8","alias_value":"ABQPSPZS","created_at":"2026-07-05T09:18:17Z"}],"graph_snapshots":[{"event_id":"sha256:78ca869459811cf3ee23edf377cb969cdf5bf67d0477800dc3529614c6766b79","target":"graph","created_at":"2026-07-05T09:18:17Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2208.11832/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by a transit line planning problem in transportation systems, we investigate the following capacitated assignment problem under a budget constraint. Our model involves $L$ bins and $P$ items. Each bin $l$ has a utilization cost $c_l$ and an $n_l$-dimensional capacity vector. Each item $p$ has an $n_l$-dimensional binary weight vector $r_{lp}$, where the $1$s in $r_{lp}$ (if any) appear in consecutive positions, and its assignment to bin $l$ yields a reward $v_{lp}$. The objective is to maximize total rewards through an assignment that satisfies three constraints: (i) the total weight","authors_text":"Hongyi Jiang, Samitha Samaranayake","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-25T02:40:51Z","title":"Approximation Algorithm for Generalized Budgeted Assignment Problems and Applications in Transportation Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.11832","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":"sha256:664ae8fa958aff478f6c986c18e5b2c4efe880a773d0f366b3db3ea59973ee9b","target":"record","created_at":"2026-07-05T09:18:17Z","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":"64119664acf4263841258af711ff4ff4ba796d14b5fb7f69699fa81dd51372bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2022-08-25T02:40:51Z","title_canon_sha256":"98e9dfafd748e2f871e1e2a702235fd4333095a8165850a9f37cbc5e30364051"},"schema_version":"1.0","source":{"id":"2208.11832","kind":"arxiv","version":4}},"canonical_sha256":"0060f93f32cb61c0fc0b4017a7f042a2dab1e3b767d060f4dd9a29d9c799ba7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0060f93f32cb61c0fc0b4017a7f042a2dab1e3b767d060f4dd9a29d9c799ba7d","first_computed_at":"2026-07-05T09:18:17.817480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:18:17.817480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/UH0KXv/dPFs8XIpnybUBGKKNnuAWUdExfGr5GaRlY5UwUNUKl28EZtAP5SJQNyhMg5I72GTm79/oSAM44/YCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:18:17.818008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.11832","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:664ae8fa958aff478f6c986c18e5b2c4efe880a773d0f366b3db3ea59973ee9b","sha256:78ca869459811cf3ee23edf377cb969cdf5bf67d0477800dc3529614c6766b79"],"state_sha256":"b4b520a78470a134fecbfc9952fca718e28005ec75fa29675de4d00fa72f57c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljXrflvj/Me6b4g1PqYsbPaF7A17CUzmmabxbZA7HMjh/Hng/Ac3kXhAjXgLlOWPgteMMROTYlihoTGRJG+jBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-09T09:00:30.143175Z","bundle_sha256":"110ab3b45560eef402bbc653f78dc7df59b4cfeb6b7072c3205f230cdeb1464a"}}