{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Z5FOLKC4QA4HMMFVR6OMTUV3JX","short_pith_number":"pith:Z5FOLKC4","canonical_record":{"source":{"id":"1803.05361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-14T15:39:58Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"93aa8077dcd54775c3298fe1ccc4663ac3789ac6ce4ed682df48dff86907c492","abstract_canon_sha256":"f41b200531eaeb89ca18dd5183940620c0e7ab204dd0676fc575a9b8917b9051"},"schema_version":"1.0"},"canonical_sha256":"cf4ae5a85c80387630b58f9cc9d2bb4dcadb1b4ff72bbcef80dbc909b6e6b554","source":{"kind":"arxiv","id":"1803.05361","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05361","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05361v1","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05361","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"pith_short_12","alias_value":"Z5FOLKC4QA4H","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Z5FOLKC4QA4HMMFV","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Z5FOLKC4","created_at":"2026-05-18T12:33:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Z5FOLKC4QA4HMMFVR6OMTUV3JX","target":"record","payload":{"canonical_record":{"source":{"id":"1803.05361","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-14T15:39:58Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"93aa8077dcd54775c3298fe1ccc4663ac3789ac6ce4ed682df48dff86907c492","abstract_canon_sha256":"f41b200531eaeb89ca18dd5183940620c0e7ab204dd0676fc575a9b8917b9051"},"schema_version":"1.0"},"canonical_sha256":"cf4ae5a85c80387630b58f9cc9d2bb4dcadb1b4ff72bbcef80dbc909b6e6b554","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:01.512977Z","signature_b64":"Ze2qpll3/KAOYfm9gt2eUl6UQpQcA4u3vJ5smbBQ0lxGdr5vL/FBGeFtb0XQ0P8W5GOR07gpJ/v/jHSgM1xFCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf4ae5a85c80387630b58f9cc9d2bb4dcadb1b4ff72bbcef80dbc909b6e6b554","last_reissued_at":"2026-05-18T00:21:01.512438Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:01.512438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.05361","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":"2026-05-18T00:21:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hB/GsGvDN9T9T4qB5GJ8VeaFdFTptsyUf6JoGy/uoB3VqUC3tf1ViB2FkEKZdMaJBoZB4N+ReHyeO2TWwgVGBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:19:37.590991Z"},"content_sha256":"86a1d8a61896e7a744cf52b6cac99588072d689ea1397f85a23ef066ecd34383","schema_version":"1.0","event_id":"sha256:86a1d8a61896e7a744cf52b6cac99588072d689ea1397f85a23ef066ecd34383"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Z5FOLKC4QA4HMMFVR6OMTUV3JX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Approximating Generalized Network Design under (Dis)economies of Scale with Applications to Energy Efficiency","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"cs.GT","authors_text":"Ron Lavi, Shay Kutten, Yangguang Shi, Yuval Emek","submitted_at":"2018-03-14T15:39:58Z","abstract_excerpt":"In a generalized network design (GND) problem, a set of resources are assigned to multiple communication requests. Each request contributes its weight to the resources it uses and the total load on a resource is then translated to the cost it incurs via a resource specific cost function. For example, a request may be to establish a virtual circuit, thus contributing to the load on each edge in the circuit. Motivated by energy efficiency applications, recently, there is a growing interest in GND using cost functions that exhibit (dis)economies of scale ((D)oS), namely, cost functions that appea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05361","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":""},"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":"2026-05-18T00:21:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I0b6+6xFtlpHSRbMsVvM+UIQfWb/+c4BkPWnTHke2dT9DhqO29oxzXsA0koLxw5cSB+xtSCFny18NhEX14+YAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T19:19:37.591807Z"},"content_sha256":"d5e3e9cfb0af18ff22f095e767b9572327fe68be361341aeb227aee8c0a2f0e4","schema_version":"1.0","event_id":"sha256:d5e3e9cfb0af18ff22f095e767b9572327fe68be361341aeb227aee8c0a2f0e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX/bundle.json","state_url":"https://pith.science/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX/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":"2026-06-09T19:19:37Z","links":{"resolver":"https://pith.science/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX","bundle":"https://pith.science/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX/bundle.json","state":"https://pith.science/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z5FOLKC4QA4HMMFVR6OMTUV3JX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Z5FOLKC4QA4HMMFVR6OMTUV3JX","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":"f41b200531eaeb89ca18dd5183940620c0e7ab204dd0676fc575a9b8917b9051","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-14T15:39:58Z","title_canon_sha256":"93aa8077dcd54775c3298fe1ccc4663ac3789ac6ce4ed682df48dff86907c492"},"schema_version":"1.0","source":{"id":"1803.05361","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05361","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05361v1","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05361","created_at":"2026-05-18T00:21:01Z"},{"alias_kind":"pith_short_12","alias_value":"Z5FOLKC4QA4H","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Z5FOLKC4QA4HMMFV","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Z5FOLKC4","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:d5e3e9cfb0af18ff22f095e767b9572327fe68be361341aeb227aee8c0a2f0e4","target":"graph","created_at":"2026-05-18T00:21:01Z","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"},"paper":{"abstract_excerpt":"In a generalized network design (GND) problem, a set of resources are assigned to multiple communication requests. Each request contributes its weight to the resources it uses and the total load on a resource is then translated to the cost it incurs via a resource specific cost function. For example, a request may be to establish a virtual circuit, thus contributing to the load on each edge in the circuit. Motivated by energy efficiency applications, recently, there is a growing interest in GND using cost functions that exhibit (dis)economies of scale ((D)oS), namely, cost functions that appea","authors_text":"Ron Lavi, Shay Kutten, Yangguang Shi, Yuval Emek","cross_cats":["cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-14T15:39:58Z","title":"Approximating Generalized Network Design under (Dis)economies of Scale with Applications to Energy Efficiency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05361","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":"sha256:86a1d8a61896e7a744cf52b6cac99588072d689ea1397f85a23ef066ecd34383","target":"record","created_at":"2026-05-18T00:21:01Z","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":"f41b200531eaeb89ca18dd5183940620c0e7ab204dd0676fc575a9b8917b9051","cross_cats_sorted":["cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2018-03-14T15:39:58Z","title_canon_sha256":"93aa8077dcd54775c3298fe1ccc4663ac3789ac6ce4ed682df48dff86907c492"},"schema_version":"1.0","source":{"id":"1803.05361","kind":"arxiv","version":1}},"canonical_sha256":"cf4ae5a85c80387630b58f9cc9d2bb4dcadb1b4ff72bbcef80dbc909b6e6b554","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf4ae5a85c80387630b58f9cc9d2bb4dcadb1b4ff72bbcef80dbc909b6e6b554","first_computed_at":"2026-05-18T00:21:01.512438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:01.512438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ze2qpll3/KAOYfm9gt2eUl6UQpQcA4u3vJ5smbBQ0lxGdr5vL/FBGeFtb0XQ0P8W5GOR07gpJ/v/jHSgM1xFCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:01.512977Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.05361","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a1d8a61896e7a744cf52b6cac99588072d689ea1397f85a23ef066ecd34383","sha256:d5e3e9cfb0af18ff22f095e767b9572327fe68be361341aeb227aee8c0a2f0e4"],"state_sha256":"6835f10e2df83a4377d23f4782f910a7ec4d9d20ec298c72323351c5aadde895"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kPom4yP4fHyYzowdolHzR8up4o6kGcg4HMIOJUFTQBk5z4ge2HqV6OqRgKHZfx3u567yaamjFD1qUqxfIK4VDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T19:19:37.596005Z","bundle_sha256":"a9a5d32ea38ae7fd493cb2642684da2df7cd7c9528f10ba25c355d2ca9946e74"}}