{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:N7O4SVLGY2AMS4GJLRALHXCJ3X","short_pith_number":"pith:N7O4SVLG","canonical_record":{"source":{"id":"1602.08156","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-02-26T00:11:42Z","cross_cats_sorted":["cs.CG","cs.DS","cs.SI"],"title_canon_sha256":"51a634a59dfae7592163ffc9a508dff4e995205847376c68565571fdb852e84c","abstract_canon_sha256":"e224060d8fb5d355af3bea05980b1236b8e311f6975f20cc3caa7f9fdcdcf3b5"},"schema_version":"1.0"},"canonical_sha256":"6fddc95566c680c970c95c40b3dc49ddc76d66aa94cef1f5f050823a43085cb2","source":{"kind":"arxiv","id":"1602.08156","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08156","created_at":"2026-05-18T01:19:56Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08156v1","created_at":"2026-05-18T01:19:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08156","created_at":"2026-05-18T01:19:56Z"},{"alias_kind":"pith_short_12","alias_value":"N7O4SVLGY2AM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N7O4SVLGY2AMS4GJ","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N7O4SVLG","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:N7O4SVLGY2AMS4GJLRALHXCJ3X","target":"record","payload":{"canonical_record":{"source":{"id":"1602.08156","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-02-26T00:11:42Z","cross_cats_sorted":["cs.CG","cs.DS","cs.SI"],"title_canon_sha256":"51a634a59dfae7592163ffc9a508dff4e995205847376c68565571fdb852e84c","abstract_canon_sha256":"e224060d8fb5d355af3bea05980b1236b8e311f6975f20cc3caa7f9fdcdcf3b5"},"schema_version":"1.0"},"canonical_sha256":"6fddc95566c680c970c95c40b3dc49ddc76d66aa94cef1f5f050823a43085cb2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:56.687286Z","signature_b64":"oEXWaOC9kH0Oldf7YlQjwzZxKJEfoShSB72PhGCGdGk0oQ4xQSGtnhgrtKBlwV592dRVEQr8k5YI7oZjUPOrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fddc95566c680c970c95c40b3dc49ddc76d66aa94cef1f5f050823a43085cb2","last_reissued_at":"2026-05-18T01:19:56.686826Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:56.686826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.08156","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":"2026-05-18T01:19:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VEsKf+h09FdHLq3STDcCpiy3xaNWC9H0i22T+iLFE9lKO50m0XHBKZg7TDuIALKrrVHtfCUL2Qj1TclA8KVcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:59:17.070350Z"},"content_sha256":"e08ef19dab9a60be070da6c73d68fbcf3c0f9825044b115af72ad9cab7e02c0d","schema_version":"1.0","event_id":"sha256:e08ef19dab9a60be070da6c73d68fbcf3c0f9825044b115af72ad9cab7e02c0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:N7O4SVLGY2AMS4GJLRALHXCJ3X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Capacitated Kinetic Clustering in Mobile Networks by Optimal Transportation Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.DS","cs.SI"],"primary_cat":"cs.NI","authors_text":"Chien-Chun Ni, Jie Gao, Xianfeng David Gu, Zhengyu Su","submitted_at":"2016-02-26T00:11:42Z","abstract_excerpt":"We consider the problem of capacitated kinetic clustering in which $n$ mobile terminals and $k$ base stations with respective operating capacities are given. The task is to assign the mobile terminals to the base stations such that the total squared distance from each terminal to its assigned base station is minimized and the capacity constraints are satisfied. This paper focuses on the development of \\emph{distributed} and computationally efficient algorithms that adapt to the motion of both terminals and base stations. Suggested by the optimal transportation theory, we exploit the structural"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08156","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":"2026-05-18T01:19:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oRmX5yDF+xDfK/8bRSomoevVBInODB5CP7EF1t7GElOeuYLn+8xZh5xdihGilQazNHvlH97wmV5ZpIKSBdnlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:59:17.070703Z"},"content_sha256":"91ac6955fc4c601f6c3e7da95bf631826e83698b40266923acd5dfe7a6d00ced","schema_version":"1.0","event_id":"sha256:91ac6955fc4c601f6c3e7da95bf631826e83698b40266923acd5dfe7a6d00ced"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X/bundle.json","state_url":"https://pith.science/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X/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":"2026-06-24T06:59:17Z","links":{"resolver":"https://pith.science/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X","bundle":"https://pith.science/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X/bundle.json","state":"https://pith.science/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7O4SVLGY2AMS4GJLRALHXCJ3X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:N7O4SVLGY2AMS4GJLRALHXCJ3X","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":"e224060d8fb5d355af3bea05980b1236b8e311f6975f20cc3caa7f9fdcdcf3b5","cross_cats_sorted":["cs.CG","cs.DS","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-02-26T00:11:42Z","title_canon_sha256":"51a634a59dfae7592163ffc9a508dff4e995205847376c68565571fdb852e84c"},"schema_version":"1.0","source":{"id":"1602.08156","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.08156","created_at":"2026-05-18T01:19:56Z"},{"alias_kind":"arxiv_version","alias_value":"1602.08156v1","created_at":"2026-05-18T01:19:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.08156","created_at":"2026-05-18T01:19:56Z"},{"alias_kind":"pith_short_12","alias_value":"N7O4SVLGY2AM","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N7O4SVLGY2AMS4GJ","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N7O4SVLG","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:91ac6955fc4c601f6c3e7da95bf631826e83698b40266923acd5dfe7a6d00ced","target":"graph","created_at":"2026-05-18T01:19:56Z","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":"We consider the problem of capacitated kinetic clustering in which $n$ mobile terminals and $k$ base stations with respective operating capacities are given. The task is to assign the mobile terminals to the base stations such that the total squared distance from each terminal to its assigned base station is minimized and the capacity constraints are satisfied. This paper focuses on the development of \\emph{distributed} and computationally efficient algorithms that adapt to the motion of both terminals and base stations. Suggested by the optimal transportation theory, we exploit the structural","authors_text":"Chien-Chun Ni, Jie Gao, Xianfeng David Gu, Zhengyu Su","cross_cats":["cs.CG","cs.DS","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-02-26T00:11:42Z","title":"Capacitated Kinetic Clustering in Mobile Networks by Optimal Transportation Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.08156","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:e08ef19dab9a60be070da6c73d68fbcf3c0f9825044b115af72ad9cab7e02c0d","target":"record","created_at":"2026-05-18T01:19:56Z","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":"e224060d8fb5d355af3bea05980b1236b8e311f6975f20cc3caa7f9fdcdcf3b5","cross_cats_sorted":["cs.CG","cs.DS","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2016-02-26T00:11:42Z","title_canon_sha256":"51a634a59dfae7592163ffc9a508dff4e995205847376c68565571fdb852e84c"},"schema_version":"1.0","source":{"id":"1602.08156","kind":"arxiv","version":1}},"canonical_sha256":"6fddc95566c680c970c95c40b3dc49ddc76d66aa94cef1f5f050823a43085cb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fddc95566c680c970c95c40b3dc49ddc76d66aa94cef1f5f050823a43085cb2","first_computed_at":"2026-05-18T01:19:56.686826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:56.686826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oEXWaOC9kH0Oldf7YlQjwzZxKJEfoShSB72PhGCGdGk0oQ4xQSGtnhgrtKBlwV592dRVEQr8k5YI7oZjUPOrBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:56.687286Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.08156","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e08ef19dab9a60be070da6c73d68fbcf3c0f9825044b115af72ad9cab7e02c0d","sha256:91ac6955fc4c601f6c3e7da95bf631826e83698b40266923acd5dfe7a6d00ced"],"state_sha256":"ba3fc24505813bc922b02a6bf5ab49dfb92ff8a54b9b026f9bdbe8b96032fec2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Um4Rd6W+yVTV/2KgtrCmQpbfYkESHG+ussezc0IgnpvBiYo5dpf03ugG4vFtO4ZCICrDeUAYW3JHgefKtpM+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:59:17.072706Z","bundle_sha256":"a6d5e6414e9f1aa9261e1433a1a08f721a68c11574a924b65d15007822134108"}}