{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6IHINDKUWJ5QMAVDW5HUGARMZW","short_pith_number":"pith:6IHINDKU","canonical_record":{"source":{"id":"1510.00888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2015-10-04T00:32:48Z","cross_cats_sorted":[],"title_canon_sha256":"ebaa9fc3fdff7af571536a99ec14de2cba656d0767bff07dee377cb34f359a1d","abstract_canon_sha256":"3647cbd23d5357c99b22016e93a857a2adb8b200914b0245f827b8f1ab5cf7ed"},"schema_version":"1.0"},"canonical_sha256":"f20e868d54b27b0602a3b74f43022ccdb7421dca4d54cd1da97c50f4de8348c0","source":{"kind":"arxiv","id":"1510.00888","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00888","created_at":"2026-05-18T01:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00888v1","created_at":"2026-05-18T01:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00888","created_at":"2026-05-18T01:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"6IHINDKUWJ5Q","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6IHINDKUWJ5QMAVD","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6IHINDKU","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6IHINDKUWJ5QMAVDW5HUGARMZW","target":"record","payload":{"canonical_record":{"source":{"id":"1510.00888","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2015-10-04T00:32:48Z","cross_cats_sorted":[],"title_canon_sha256":"ebaa9fc3fdff7af571536a99ec14de2cba656d0767bff07dee377cb34f359a1d","abstract_canon_sha256":"3647cbd23d5357c99b22016e93a857a2adb8b200914b0245f827b8f1ab5cf7ed"},"schema_version":"1.0"},"canonical_sha256":"f20e868d54b27b0602a3b74f43022ccdb7421dca4d54cd1da97c50f4de8348c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:05.412886Z","signature_b64":"QXLEgepyavsx1MKSHn0iCyih7PK8lPJ8evXvAp2flWA77Hr3mBDfG4+z8jqyZngx45V6sje0ODveFLZ/rLTBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f20e868d54b27b0602a3b74f43022ccdb7421dca4d54cd1da97c50f4de8348c0","last_reissued_at":"2026-05-18T01:31:05.412260Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:05.412260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.00888","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":"2026-05-18T01:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"53ochYBCZnDhhqW1W59SOr/sHMllhtoQcbPSm/DJSYS+F2zmYeX95o2Auq+Ck4guLKZX4Id3+p2lat3kOEDAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:46:52.976177Z"},"content_sha256":"9d465e2da7eb8da1ff6d1109caad5cf3891c50dc303dfa6d5da9cc279050b4d1","schema_version":"1.0","event_id":"sha256:9d465e2da7eb8da1ff6d1109caad5cf3891c50dc303dfa6d5da9cc279050b4d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6IHINDKUWJ5QMAVDW5HUGARMZW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Multi-User Computation Offloading for Mobile-Edge Cloud Computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NI","authors_text":"Lei Jiao, Wenzhong Li, Xiaoming Fu, Xu Chen","submitted_at":"2015-10-04T00:32:48Z","abstract_excerpt":"Mobile-edge cloud computing is a new paradigm to provide cloud computing capabilities at the edge of pervasive radio access networks in close proximity to mobile users. In this paper, we first study the multi-user computation offloading problem for mobile-edge cloud computing in a multi-channel wireless interference environment. We show that it is NP-hard to compute a centralized optimal solution, and hence adopt a game theoretic approach for achieving efficient computation offloading in a distributed manner. We formulate the distributed computation offloading decision making problem among mob"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00888","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":"2026-05-18T01:31:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ClVmrSGawSU7Sp4yu+bk0eoRDAnMrkfUptj52Hi+fNOjDiv/Av5QGvfWpqhWmlz8E0ciC5i6CromYCTWQlmBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T00:46:52.976835Z"},"content_sha256":"71751b9137ac178a23ac19c43d51eb575481c59b8fe17f62e95c7b071b5a2b39","schema_version":"1.0","event_id":"sha256:71751b9137ac178a23ac19c43d51eb575481c59b8fe17f62e95c7b071b5a2b39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6IHINDKUWJ5QMAVDW5HUGARMZW/bundle.json","state_url":"https://pith.science/pith/6IHINDKUWJ5QMAVDW5HUGARMZW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6IHINDKUWJ5QMAVDW5HUGARMZW/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":"2026-06-05T00:46:52Z","links":{"resolver":"https://pith.science/pith/6IHINDKUWJ5QMAVDW5HUGARMZW","bundle":"https://pith.science/pith/6IHINDKUWJ5QMAVDW5HUGARMZW/bundle.json","state":"https://pith.science/pith/6IHINDKUWJ5QMAVDW5HUGARMZW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6IHINDKUWJ5QMAVDW5HUGARMZW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6IHINDKUWJ5QMAVDW5HUGARMZW","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":"3647cbd23d5357c99b22016e93a857a2adb8b200914b0245f827b8f1ab5cf7ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2015-10-04T00:32:48Z","title_canon_sha256":"ebaa9fc3fdff7af571536a99ec14de2cba656d0767bff07dee377cb34f359a1d"},"schema_version":"1.0","source":{"id":"1510.00888","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.00888","created_at":"2026-05-18T01:31:05Z"},{"alias_kind":"arxiv_version","alias_value":"1510.00888v1","created_at":"2026-05-18T01:31:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00888","created_at":"2026-05-18T01:31:05Z"},{"alias_kind":"pith_short_12","alias_value":"6IHINDKUWJ5Q","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6IHINDKUWJ5QMAVD","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6IHINDKU","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:71751b9137ac178a23ac19c43d51eb575481c59b8fe17f62e95c7b071b5a2b39","target":"graph","created_at":"2026-05-18T01:31:05Z","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":"Mobile-edge cloud computing is a new paradigm to provide cloud computing capabilities at the edge of pervasive radio access networks in close proximity to mobile users. In this paper, we first study the multi-user computation offloading problem for mobile-edge cloud computing in a multi-channel wireless interference environment. We show that it is NP-hard to compute a centralized optimal solution, and hence adopt a game theoretic approach for achieving efficient computation offloading in a distributed manner. We formulate the distributed computation offloading decision making problem among mob","authors_text":"Lei Jiao, Wenzhong Li, Xiaoming Fu, Xu Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2015-10-04T00:32:48Z","title":"Efficient Multi-User Computation Offloading for Mobile-Edge Cloud Computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00888","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":"sha256:9d465e2da7eb8da1ff6d1109caad5cf3891c50dc303dfa6d5da9cc279050b4d1","target":"record","created_at":"2026-05-18T01:31:05Z","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":"3647cbd23d5357c99b22016e93a857a2adb8b200914b0245f827b8f1ab5cf7ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2015-10-04T00:32:48Z","title_canon_sha256":"ebaa9fc3fdff7af571536a99ec14de2cba656d0767bff07dee377cb34f359a1d"},"schema_version":"1.0","source":{"id":"1510.00888","kind":"arxiv","version":1}},"canonical_sha256":"f20e868d54b27b0602a3b74f43022ccdb7421dca4d54cd1da97c50f4de8348c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f20e868d54b27b0602a3b74f43022ccdb7421dca4d54cd1da97c50f4de8348c0","first_computed_at":"2026-05-18T01:31:05.412260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:05.412260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QXLEgepyavsx1MKSHn0iCyih7PK8lPJ8evXvAp2flWA77Hr3mBDfG4+z8jqyZngx45V6sje0ODveFLZ/rLTBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:05.412886Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.00888","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d465e2da7eb8da1ff6d1109caad5cf3891c50dc303dfa6d5da9cc279050b4d1","sha256:71751b9137ac178a23ac19c43d51eb575481c59b8fe17f62e95c7b071b5a2b39"],"state_sha256":"aad396bab8a568267caf5f701d371b25aec87066027c1f0d80820c3263edc43d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wNTZfzqsIW+1iRMXU6CzhwXyB5uXSq5403WSo6/TH8Sv07HuJ+kkONzHCAv0kxkoFHjl4f0On1R38kJw5YwSDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T00:46:52.979464Z","bundle_sha256":"ffeccff5ffb83e2f3412d08ae8107df1d168a5d6ec07525d8915f05bbf4b0e83"}}