{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL","short_pith_number":"pith:NEQ3NWCR","canonical_record":{"source":{"id":"2207.11099","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-22T14:17:27Z","cross_cats_sorted":[],"title_canon_sha256":"8c5e761adf60f37f55e71983ea7ffeaac0f48556d38e113957277081d896d1a3","abstract_canon_sha256":"3a02bb7bc604c2b17837d77ddd13235da814f6471f69e18e0ded92bda4370b63"},"schema_version":"1.0"},"canonical_sha256":"6921b6d8510fef54f61c14059ebea30ad0afd979df1012c60c7c0a73de3fdec3","source":{"kind":"arxiv","id":"2207.11099","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.11099","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"arxiv_version","alias_value":"2207.11099v2","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.11099","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"pith_short_12","alias_value":"NEQ3NWCRB7XV","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"pith_short_16","alias_value":"NEQ3NWCRB7XVJ5Q4","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"pith_short_8","alias_value":"NEQ3NWCR","created_at":"2026-07-05T06:37:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL","target":"record","payload":{"canonical_record":{"source":{"id":"2207.11099","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-22T14:17:27Z","cross_cats_sorted":[],"title_canon_sha256":"8c5e761adf60f37f55e71983ea7ffeaac0f48556d38e113957277081d896d1a3","abstract_canon_sha256":"3a02bb7bc604c2b17837d77ddd13235da814f6471f69e18e0ded92bda4370b63"},"schema_version":"1.0"},"canonical_sha256":"6921b6d8510fef54f61c14059ebea30ad0afd979df1012c60c7c0a73de3fdec3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:37:50.178933Z","signature_b64":"c+P6lpAsB4yzh/vttBo/1K5e9iszfX/6L7h9Npoq39peqYq80xPGrZ9TAWs0RN56m2YhwWpz/eSgwnYJLaIxDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6921b6d8510fef54f61c14059ebea30ad0afd979df1012c60c7c0a73de3fdec3","last_reissued_at":"2026-07-05T06:37:50.178421Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:37:50.178421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.11099","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":"2026-07-05T06:37:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lwj26AUbTSVDmhYGeKbwu59APWCMn2zbcP7fIVBgz9X0VVS3/W+V5DBUwBzwKYJDu8DFt05+qABVeiOLLmwSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T11:05:08.411422Z"},"content_sha256":"2801a4570edb51ae2e64cf9f3ba92f7acc832bd0de3d217904da7a8a9690eb30","schema_version":"1.0","event_id":"sha256:2801a4570edb51ae2e64cf9f3ba92f7acc832bd0de3d217904da7a8a9690eb30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Emission Reduction Through Dynamic Supply Mode Selection","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Joachim Arts, Melvin Drent, Poulad Moradi","submitted_at":"2022-07-22T14:17:27Z","abstract_excerpt":"We study the inbound supply mode and inventory management decision making for a company that sells an assortment of products. Stochastic demand for each product arrives periodically and unmet demand is backlogged. Each product has two distinct supply modes that may be different suppliers or different transport modes from the same supplier. These supply modes differ in terms of their carbon emissions, speed, and costs. The company needs to decide when to ship how much using which supply mode such that total holding, backlog, and procurement costs are minimized while the emissions associated wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.11099","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2207.11099/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":"2026-07-05T06:37:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"couBiElQrljqdqkXTocb5Q8KlorBlGTNwXrTxx6WCYwAyaR7vFRXG/t1cKG9vJwynxRjYk1x+bVj7qjAJgF6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T11:05:08.411926Z"},"content_sha256":"84df6e2d9086e4a738143be514084bc67eceb33c70d033bc76f715452f64f470","schema_version":"1.0","event_id":"sha256:84df6e2d9086e4a738143be514084bc67eceb33c70d033bc76f715452f64f470"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL/bundle.json","state_url":"https://pith.science/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL/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":"2026-08-23T11:05:08Z","links":{"resolver":"https://pith.science/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL","bundle":"https://pith.science/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL/bundle.json","state":"https://pith.science/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NEQ3NWCRB7XVJ5Q4CQCZ5PVDBL","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":"3a02bb7bc604c2b17837d77ddd13235da814f6471f69e18e0ded92bda4370b63","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-22T14:17:27Z","title_canon_sha256":"8c5e761adf60f37f55e71983ea7ffeaac0f48556d38e113957277081d896d1a3"},"schema_version":"1.0","source":{"id":"2207.11099","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.11099","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"arxiv_version","alias_value":"2207.11099v2","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.11099","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"pith_short_12","alias_value":"NEQ3NWCRB7XV","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"pith_short_16","alias_value":"NEQ3NWCRB7XVJ5Q4","created_at":"2026-07-05T06:37:50Z"},{"alias_kind":"pith_short_8","alias_value":"NEQ3NWCR","created_at":"2026-07-05T06:37:50Z"}],"graph_snapshots":[{"event_id":"sha256:84df6e2d9086e4a738143be514084bc67eceb33c70d033bc76f715452f64f470","target":"graph","created_at":"2026-07-05T06:37:50Z","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/2207.11099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the inbound supply mode and inventory management decision making for a company that sells an assortment of products. Stochastic demand for each product arrives periodically and unmet demand is backlogged. Each product has two distinct supply modes that may be different suppliers or different transport modes from the same supplier. These supply modes differ in terms of their carbon emissions, speed, and costs. The company needs to decide when to ship how much using which supply mode such that total holding, backlog, and procurement costs are minimized while the emissions associated wit","authors_text":"Joachim Arts, Melvin Drent, Poulad Moradi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-22T14:17:27Z","title":"Efficient Emission Reduction Through Dynamic Supply Mode Selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.11099","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":"sha256:2801a4570edb51ae2e64cf9f3ba92f7acc832bd0de3d217904da7a8a9690eb30","target":"record","created_at":"2026-07-05T06:37:50Z","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":"3a02bb7bc604c2b17837d77ddd13235da814f6471f69e18e0ded92bda4370b63","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2022-07-22T14:17:27Z","title_canon_sha256":"8c5e761adf60f37f55e71983ea7ffeaac0f48556d38e113957277081d896d1a3"},"schema_version":"1.0","source":{"id":"2207.11099","kind":"arxiv","version":2}},"canonical_sha256":"6921b6d8510fef54f61c14059ebea30ad0afd979df1012c60c7c0a73de3fdec3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6921b6d8510fef54f61c14059ebea30ad0afd979df1012c60c7c0a73de3fdec3","first_computed_at":"2026-07-05T06:37:50.178421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:37:50.178421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c+P6lpAsB4yzh/vttBo/1K5e9iszfX/6L7h9Npoq39peqYq80xPGrZ9TAWs0RN56m2YhwWpz/eSgwnYJLaIxDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:37:50.178933Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.11099","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2801a4570edb51ae2e64cf9f3ba92f7acc832bd0de3d217904da7a8a9690eb30","sha256:84df6e2d9086e4a738143be514084bc67eceb33c70d033bc76f715452f64f470"],"state_sha256":"c27684e679e107c3286079ce067600c77d5d39597cd5f41de2e09e9bb98604e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lOcx5212EZsgEK+ptzN9bdNnUVT3OaOVB0W8BGQDqBJVlr1FRRzZaUJgZLH86AIjIlzjPHJknDi5r9n6DBDWBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T11:05:08.416764Z","bundle_sha256":"b4e71a47e33e73c5d43dd70baa4f0aae4431838a83f087b67fbe6cf2952104c9"}}