{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:W4DTWAU2C7UPCXJOT72MOQ5SNJ","short_pith_number":"pith:W4DTWAU2","canonical_record":{"source":{"id":"2506.01694","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-02T13:57:17Z","cross_cats_sorted":[],"title_canon_sha256":"5420961dbb3a94ec8b7eaa00da188cd5be883ab1c46acb5e900e74e698100089","abstract_canon_sha256":"b6f2896d329e64f934f9eeb3ae2dc3b181c9cbb9b3b87c8f661f07dc7c8ad4bf"},"schema_version":"1.0"},"canonical_sha256":"b7073b029a17e8f15d2e9ff4c743b26a4785e4ecf221cca2da8738d4e9ac3eb8","source":{"kind":"arxiv","id":"2506.01694","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01694","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01694v2","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01694","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"pith_short_12","alias_value":"W4DTWAU2C7UP","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"pith_short_16","alias_value":"W4DTWAU2C7UPCXJO","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"pith_short_8","alias_value":"W4DTWAU2","created_at":"2026-06-19T16:12:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:W4DTWAU2C7UPCXJOT72MOQ5SNJ","target":"record","payload":{"canonical_record":{"source":{"id":"2506.01694","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-02T13:57:17Z","cross_cats_sorted":[],"title_canon_sha256":"5420961dbb3a94ec8b7eaa00da188cd5be883ab1c46acb5e900e74e698100089","abstract_canon_sha256":"b6f2896d329e64f934f9eeb3ae2dc3b181c9cbb9b3b87c8f661f07dc7c8ad4bf"},"schema_version":"1.0"},"canonical_sha256":"b7073b029a17e8f15d2e9ff4c743b26a4785e4ecf221cca2da8738d4e9ac3eb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:13.841587Z","signature_b64":"1etCBKy9dBEIJ7qMzwLkn6eIQnpuMUHSctB04uIeIcjakroKCdZ7Z8BXUIiCO2EQHRkEfFfzFAh6iRJ6s6/9Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7073b029a17e8f15d2e9ff4c743b26a4785e4ecf221cca2da8738d4e9ac3eb8","last_reissued_at":"2026-06-19T16:12:13.841080Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:13.841080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.01694","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":"2026-06-19T16:12:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JRZ6dL0jVuo9zNOwJ5XLH8DXkxOopwq9mm1VoIVfFzdzFO0C/JsZygOjY24vzzQL86eFoNGMRXQmyIPPv6OQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:27:22.620912Z"},"content_sha256":"98d21e505313e21613ff6e2bc68ad575f09a0ef7205f4e31720e471cc6b88773","schema_version":"1.0","event_id":"sha256:98d21e505313e21613ff6e2bc68ad575f09a0ef7205f4e31720e471cc6b88773"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:W4DTWAU2C7UPCXJOT72MOQ5SNJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cross-Dock Door Design under Uncertainty: A two-stage DRO-based lower- and upper-bounding scheme","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Aitziber Unzueta, Laureano F. Escudero, M. Araceli Gar\\'in","submitted_at":"2025-06-02T13:57:17Z","abstract_excerpt":"The stochastic cross-dock door design problem entails determining the number of doors and their nominal capacities under uncertainty. The inbound flow of commodities from origin nodes is assigned to the entry doors consolidated in the platform, and the outbound flow is assigned to the exit doors to be delivered to the destination nodes. This problem combines three high computational difficulties, namely, NP-hard quadratic combinatorics, uncertainty in the main parameters, and ambiguity in their probability distribution. Distributionally robust optimization is considered to deal with these unce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01694","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/2506.01694/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":"2026-06-19T16:12:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F9rdjMxj6ken5h6jaeEB0UDu8M/8enmnPTd84+aeRpiF5TnqaYsX94nMKWeWyEG7RsRF5brGRp8AjQaZKjZrDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:27:22.621419Z"},"content_sha256":"67af2cba9a0d2b009b0f0d7864b3ffd03c92a6304cf9889df31f17ebfdd810de","schema_version":"1.0","event_id":"sha256:67af2cba9a0d2b009b0f0d7864b3ffd03c92a6304cf9889df31f17ebfdd810de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ/bundle.json","state_url":"https://pith.science/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ/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":"2026-08-09T15:27:22Z","links":{"resolver":"https://pith.science/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ","bundle":"https://pith.science/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ/bundle.json","state":"https://pith.science/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W4DTWAU2C7UPCXJOT72MOQ5SNJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:W4DTWAU2C7UPCXJOT72MOQ5SNJ","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":"b6f2896d329e64f934f9eeb3ae2dc3b181c9cbb9b3b87c8f661f07dc7c8ad4bf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-02T13:57:17Z","title_canon_sha256":"5420961dbb3a94ec8b7eaa00da188cd5be883ab1c46acb5e900e74e698100089"},"schema_version":"1.0","source":{"id":"2506.01694","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01694","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01694v2","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01694","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"pith_short_12","alias_value":"W4DTWAU2C7UP","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"pith_short_16","alias_value":"W4DTWAU2C7UPCXJO","created_at":"2026-06-19T16:12:13Z"},{"alias_kind":"pith_short_8","alias_value":"W4DTWAU2","created_at":"2026-06-19T16:12:13Z"}],"graph_snapshots":[{"event_id":"sha256:67af2cba9a0d2b009b0f0d7864b3ffd03c92a6304cf9889df31f17ebfdd810de","target":"graph","created_at":"2026-06-19T16:12:13Z","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/2506.01694/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The stochastic cross-dock door design problem entails determining the number of doors and their nominal capacities under uncertainty. The inbound flow of commodities from origin nodes is assigned to the entry doors consolidated in the platform, and the outbound flow is assigned to the exit doors to be delivered to the destination nodes. This problem combines three high computational difficulties, namely, NP-hard quadratic combinatorics, uncertainty in the main parameters, and ambiguity in their probability distribution. Distributionally robust optimization is considered to deal with these unce","authors_text":"Aitziber Unzueta, Laureano F. Escudero, M. Araceli Gar\\'in","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-02T13:57:17Z","title":"Cross-Dock Door Design under Uncertainty: A two-stage DRO-based lower- and upper-bounding scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01694","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":"sha256:98d21e505313e21613ff6e2bc68ad575f09a0ef7205f4e31720e471cc6b88773","target":"record","created_at":"2026-06-19T16:12:13Z","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":"b6f2896d329e64f934f9eeb3ae2dc3b181c9cbb9b3b87c8f661f07dc7c8ad4bf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-06-02T13:57:17Z","title_canon_sha256":"5420961dbb3a94ec8b7eaa00da188cd5be883ab1c46acb5e900e74e698100089"},"schema_version":"1.0","source":{"id":"2506.01694","kind":"arxiv","version":2}},"canonical_sha256":"b7073b029a17e8f15d2e9ff4c743b26a4785e4ecf221cca2da8738d4e9ac3eb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7073b029a17e8f15d2e9ff4c743b26a4785e4ecf221cca2da8738d4e9ac3eb8","first_computed_at":"2026-06-19T16:12:13.841080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:13.841080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1etCBKy9dBEIJ7qMzwLkn6eIQnpuMUHSctB04uIeIcjakroKCdZ7Z8BXUIiCO2EQHRkEfFfzFAh6iRJ6s6/9Ag==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:13.841587Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.01694","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98d21e505313e21613ff6e2bc68ad575f09a0ef7205f4e31720e471cc6b88773","sha256:67af2cba9a0d2b009b0f0d7864b3ffd03c92a6304cf9889df31f17ebfdd810de"],"state_sha256":"04991517d0b65f4a45e01cf8604397927d3033701b67fcf46300b3fb8aa46d82"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"62G8t5wybcVA6qoywzd0/j3LMGsS7zpQw6WdMtHhi1+a47vb63z1/wHnCKr1t9zE8fYidIO4l1rMzV7f6lJBBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T15:27:22.625085Z","bundle_sha256":"002fcdb9dbae43cf3b8508b225306249dab187cc20654322434e8b0545cd709a"}}