{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UOLR7OWDOLN6DEIILJFG544ORR","short_pith_number":"pith:UOLR7OWD","canonical_record":{"source":{"id":"1909.04910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-09-11T08:30:43Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"1b4ae3d46ff5843a7ecbe2377c3e5db1bdfb4a69da0f5374611d0d6c41fa143a","abstract_canon_sha256":"994ed1c8f7bc2ae40eb3977df747aa4cc0761c8590a0f1283832be2a639c37a6"},"schema_version":"1.0"},"canonical_sha256":"a3971fbac372dbe191085a4a6ef38e8c6daf97b286756c028fdd5815012d2dca","source":{"kind":"arxiv","id":"1909.04910","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.04910","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"1909.04910v1","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.04910","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"UOLR7OWDOLN6","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"UOLR7OWDOLN6DEII","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"UOLR7OWD","created_at":"2026-07-05T00:04:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UOLR7OWDOLN6DEIILJFG544ORR","target":"record","payload":{"canonical_record":{"source":{"id":"1909.04910","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-09-11T08:30:43Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"1b4ae3d46ff5843a7ecbe2377c3e5db1bdfb4a69da0f5374611d0d6c41fa143a","abstract_canon_sha256":"994ed1c8f7bc2ae40eb3977df747aa4cc0761c8590a0f1283832be2a639c37a6"},"schema_version":"1.0"},"canonical_sha256":"a3971fbac372dbe191085a4a6ef38e8c6daf97b286756c028fdd5815012d2dca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:04:01.484570Z","signature_b64":"zUyk3g0dSCEWrr6eMBrZLBZSe04GrHo+Lo+EgLkdd4K1jXPigZ93WFVZL4A9VglA+RBd0dDOyTK7VARITx3FCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a3971fbac372dbe191085a4a6ef38e8c6daf97b286756c028fdd5815012d2dca","last_reissued_at":"2026-07-05T00:04:01.484115Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:04:01.484115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.04910","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":"2026-07-05T00:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J6fGOZ33953E/0WxZ5YZYeLB2swsVRZRo1Owk7tIOfDWahYadLlrL5y6rOZctdZsJ4UNWAbx4kQdOy7WOj51DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T02:33:08.595952Z"},"content_sha256":"fbde9a06f6f0826a0dad872f545fa08e1cade7a5f0efbfffffe633b1c7931e2c","schema_version":"1.0","event_id":"sha256:fbde9a06f6f0826a0dad872f545fa08e1cade7a5f0efbfffffe633b1c7931e2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UOLR7OWDOLN6DEIILJFG544ORR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An exact solution framework for the multiple gradual cover location problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"math.OC","authors_text":"Eduardo \\'Alvarez-Miranda, Markus Sinnl","submitted_at":"2019-09-11T08:30:43Z","abstract_excerpt":"Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it is likely that customers are not dichotomously covered by facilities, but gradually covered according to, e.g., the distance to the open facilities. Moreover, customers are not served by a single facility, but by a collection of them, which jointly serve them. In this paper we study the recently introduced multiple gradual cover location problem (MGCLP). The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.04910","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/1909.04910/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":"2026-07-05T00:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ks+l8BxB7n16GXF4sIigXaSezHnRbMNRp/ExBWCghw3n5HvQoERnh3xBl+9RTOWDtF7ISgtfV70xAncvckPHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T02:33:08.596747Z"},"content_sha256":"0f2c87305f6e03053cc2f057a525e378a5a682abaf65470c0a4ecbfb1bbe49c7","schema_version":"1.0","event_id":"sha256:0f2c87305f6e03053cc2f057a525e378a5a682abaf65470c0a4ecbfb1bbe49c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOLR7OWDOLN6DEIILJFG544ORR/bundle.json","state_url":"https://pith.science/pith/UOLR7OWDOLN6DEIILJFG544ORR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOLR7OWDOLN6DEIILJFG544ORR/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":"2026-08-21T02:33:08Z","links":{"resolver":"https://pith.science/pith/UOLR7OWDOLN6DEIILJFG544ORR","bundle":"https://pith.science/pith/UOLR7OWDOLN6DEIILJFG544ORR/bundle.json","state":"https://pith.science/pith/UOLR7OWDOLN6DEIILJFG544ORR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOLR7OWDOLN6DEIILJFG544ORR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UOLR7OWDOLN6DEIILJFG544ORR","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":"994ed1c8f7bc2ae40eb3977df747aa4cc0761c8590a0f1283832be2a639c37a6","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-09-11T08:30:43Z","title_canon_sha256":"1b4ae3d46ff5843a7ecbe2377c3e5db1bdfb4a69da0f5374611d0d6c41fa143a"},"schema_version":"1.0","source":{"id":"1909.04910","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.04910","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"1909.04910v1","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.04910","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"UOLR7OWDOLN6","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"UOLR7OWDOLN6DEII","created_at":"2026-07-05T00:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"UOLR7OWD","created_at":"2026-07-05T00:04:01Z"}],"graph_snapshots":[{"event_id":"sha256:0f2c87305f6e03053cc2f057a525e378a5a682abaf65470c0a4ecbfb1bbe49c7","target":"graph","created_at":"2026-07-05T00:04:01Z","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/1909.04910/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Facility and covering location models are key elements in many decision aid tools in logistics, supply chain design, telecommunications, public infrastructure planning, and many other industrial and public sectors. In many applications, it is likely that customers are not dichotomously covered by facilities, but gradually covered according to, e.g., the distance to the open facilities. Moreover, customers are not served by a single facility, but by a collection of them, which jointly serve them. In this paper we study the recently introduced multiple gradual cover location problem (MGCLP). The","authors_text":"Eduardo \\'Alvarez-Miranda, Markus Sinnl","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-09-11T08:30:43Z","title":"An exact solution framework for the multiple gradual cover location problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.04910","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:fbde9a06f6f0826a0dad872f545fa08e1cade7a5f0efbfffffe633b1c7931e2c","target":"record","created_at":"2026-07-05T00:04:01Z","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":"994ed1c8f7bc2ae40eb3977df747aa4cc0761c8590a0f1283832be2a639c37a6","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-09-11T08:30:43Z","title_canon_sha256":"1b4ae3d46ff5843a7ecbe2377c3e5db1bdfb4a69da0f5374611d0d6c41fa143a"},"schema_version":"1.0","source":{"id":"1909.04910","kind":"arxiv","version":1}},"canonical_sha256":"a3971fbac372dbe191085a4a6ef38e8c6daf97b286756c028fdd5815012d2dca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3971fbac372dbe191085a4a6ef38e8c6daf97b286756c028fdd5815012d2dca","first_computed_at":"2026-07-05T00:04:01.484115Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:04:01.484115Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zUyk3g0dSCEWrr6eMBrZLBZSe04GrHo+Lo+EgLkdd4K1jXPigZ93WFVZL4A9VglA+RBd0dDOyTK7VARITx3FCg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:04:01.484570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.04910","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbde9a06f6f0826a0dad872f545fa08e1cade7a5f0efbfffffe633b1c7931e2c","sha256:0f2c87305f6e03053cc2f057a525e378a5a682abaf65470c0a4ecbfb1bbe49c7"],"state_sha256":"5370df46ff41e70d102d90f0e953fcb8c5c85398b3e99a1a17bbc7ef2e62de54"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lawOKigOOawJExhD2JNGGlKQC+9rTqoA0TVbX/B6nm1DBxKioL/o4VWVisot9D0KljuSXfUBPzBoxI+Tp1r1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T02:33:08.604364Z","bundle_sha256":"925507038c51d58142b6a9f487ab40b9ee64c0857b1744e6ea626c60b7919902"}}