{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:MXRA2IQBS2Q6YFEQBZLYTNZEIV","short_pith_number":"pith:MXRA2IQB","canonical_record":{"source":{"id":"2105.10950","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-05-23T14:50:14Z","cross_cats_sorted":[],"title_canon_sha256":"3f035c487a6653967c428bea150946a69b29ec625ffa5b001dfd9fae49e2544b","abstract_canon_sha256":"06685fa1097c85c40235cf22e94a82a20fa12b9012635bad0562e9d4833a5833"},"schema_version":"1.0"},"canonical_sha256":"65e20d220196a1ec14900e5789b7244547f0ca807d2174fe2eaf3ba21653a311","source":{"kind":"arxiv","id":"2105.10950","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.10950","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"2105.10950v1","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10950","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"MXRA2IQBS2Q6","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"pith_short_16","alias_value":"MXRA2IQBS2Q6YFEQ","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"pith_short_8","alias_value":"MXRA2IQB","created_at":"2026-07-05T02:42:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:MXRA2IQBS2Q6YFEQBZLYTNZEIV","target":"record","payload":{"canonical_record":{"source":{"id":"2105.10950","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-05-23T14:50:14Z","cross_cats_sorted":[],"title_canon_sha256":"3f035c487a6653967c428bea150946a69b29ec625ffa5b001dfd9fae49e2544b","abstract_canon_sha256":"06685fa1097c85c40235cf22e94a82a20fa12b9012635bad0562e9d4833a5833"},"schema_version":"1.0"},"canonical_sha256":"65e20d220196a1ec14900e5789b7244547f0ca807d2174fe2eaf3ba21653a311","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:42:33.967118Z","signature_b64":"9xLqkDI7eKuXZk4BX7KzGe/HWG/c245I9NfcAtnS0TsIERqy8kvpZw+xLVW+P6pZumK1fuul1Ns1h84/3I6zBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65e20d220196a1ec14900e5789b7244547f0ca807d2174fe2eaf3ba21653a311","last_reissued_at":"2026-07-05T02:42:33.966729Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:42:33.966729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.10950","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H83tREr4jdS10F+I1jN0i4KDdPucoBlhe+qwxRt23uEYp25chpEAdkzfJuvLzyk+A/nxzcCLQPN+r5onWtbvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:02:33.438412Z"},"content_sha256":"42ad3adc4464aa765b0928121758c4f4521826428846d080f5182fdc0a154c17","schema_version":"1.0","event_id":"sha256:42ad3adc4464aa765b0928121758c4f4521826428846d080f5182fdc0a154c17"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:MXRA2IQBS2Q6YFEQBZLYTNZEIV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A review of approaches to modeling applied vehicle routing problems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.AI","authors_text":"Alexander Morozov, Konstantin Sidorov","submitted_at":"2021-05-23T14:50:14Z","abstract_excerpt":"Due to the practical importance of vehicle routing problems (VRP), there exists an ever-growing body of research in algorithms and (meta)heuristics for solving such problems. However, the diversity of VRP domains creates the separate problem of modeling such problems -- describing the domain entities (and, in particular, the planning decisions), the set of valid planning decisions, and the preferences between different plans. In this paper, we review the approaches for modeling vehicle routing problems. To make the comparison more straightforward, we formulate several criteria for evaluating m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10950","kind":"arxiv","version":1},"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/2105.10950/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":"2026-07-05T02:42:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MPiJJtDxlhRDHXXrRa3M5I3Hl5cBp3D5pj9IzUJxGLtk+DXcn22LT1MQUK1R/ONltSbc4D4yBB6lUooNG6RaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:02:33.438927Z"},"content_sha256":"4a2d8a72d52da191be06978559c570ce918fe8a66fb3c519ab20c96aa8c08cf0","schema_version":"1.0","event_id":"sha256:4a2d8a72d52da191be06978559c570ce918fe8a66fb3c519ab20c96aa8c08cf0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV/bundle.json","state_url":"https://pith.science/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV/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":"2026-08-14T03:02:33Z","links":{"resolver":"https://pith.science/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV","bundle":"https://pith.science/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV/bundle.json","state":"https://pith.science/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MXRA2IQBS2Q6YFEQBZLYTNZEIV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:MXRA2IQBS2Q6YFEQBZLYTNZEIV","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":"06685fa1097c85c40235cf22e94a82a20fa12b9012635bad0562e9d4833a5833","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-05-23T14:50:14Z","title_canon_sha256":"3f035c487a6653967c428bea150946a69b29ec625ffa5b001dfd9fae49e2544b"},"schema_version":"1.0","source":{"id":"2105.10950","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.10950","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"2105.10950v1","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10950","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"MXRA2IQBS2Q6","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"pith_short_16","alias_value":"MXRA2IQBS2Q6YFEQ","created_at":"2026-07-05T02:42:33Z"},{"alias_kind":"pith_short_8","alias_value":"MXRA2IQB","created_at":"2026-07-05T02:42:33Z"}],"graph_snapshots":[{"event_id":"sha256:4a2d8a72d52da191be06978559c570ce918fe8a66fb3c519ab20c96aa8c08cf0","target":"graph","created_at":"2026-07-05T02:42:33Z","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/2105.10950/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Due to the practical importance of vehicle routing problems (VRP), there exists an ever-growing body of research in algorithms and (meta)heuristics for solving such problems. However, the diversity of VRP domains creates the separate problem of modeling such problems -- describing the domain entities (and, in particular, the planning decisions), the set of valid planning decisions, and the preferences between different plans. In this paper, we review the approaches for modeling vehicle routing problems. To make the comparison more straightforward, we formulate several criteria for evaluating m","authors_text":"Alexander Morozov, Konstantin Sidorov","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-05-23T14:50:14Z","title":"A review of approaches to modeling applied vehicle routing problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10950","kind":"arxiv","version":1},"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":"sha256:42ad3adc4464aa765b0928121758c4f4521826428846d080f5182fdc0a154c17","target":"record","created_at":"2026-07-05T02:42:33Z","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":"06685fa1097c85c40235cf22e94a82a20fa12b9012635bad0562e9d4833a5833","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2021-05-23T14:50:14Z","title_canon_sha256":"3f035c487a6653967c428bea150946a69b29ec625ffa5b001dfd9fae49e2544b"},"schema_version":"1.0","source":{"id":"2105.10950","kind":"arxiv","version":1}},"canonical_sha256":"65e20d220196a1ec14900e5789b7244547f0ca807d2174fe2eaf3ba21653a311","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65e20d220196a1ec14900e5789b7244547f0ca807d2174fe2eaf3ba21653a311","first_computed_at":"2026-07-05T02:42:33.966729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:42:33.966729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9xLqkDI7eKuXZk4BX7KzGe/HWG/c245I9NfcAtnS0TsIERqy8kvpZw+xLVW+P6pZumK1fuul1Ns1h84/3I6zBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:42:33.967118Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.10950","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42ad3adc4464aa765b0928121758c4f4521826428846d080f5182fdc0a154c17","sha256:4a2d8a72d52da191be06978559c570ce918fe8a66fb3c519ab20c96aa8c08cf0"],"state_sha256":"b3389b2a8b3f6e5c01eb654b61eecba97ccb7cf845b02bfad74e7766c0211714"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l8SfotnIGvix3lic0Qt7dT0Fxc4r7JLQV9CV6ESJatsfU1Vzk42E0ln1MR6U95ThxDp3kFzh65r7cX4VsPd6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T03:02:33.443798Z","bundle_sha256":"7151f283ccaaea57bb9771e3fbc348834eda6d08435eb575817149c6bd32e04d"}}