{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:RESYFYSR6QYV3NTACVG2MCPRJ4","short_pith_number":"pith:RESYFYSR","canonical_record":{"source":{"id":"1701.06220","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-01-22T20:18:26Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"6a78d246ddbd3a0802ebc48f213be4fd45db4ac946e4ee8dc70a5b0ec15ed01d","abstract_canon_sha256":"ed62c713725084e2d8d6654abc206981fa641c4b2b039e250d293c40b69d8e8a"},"schema_version":"1.0"},"canonical_sha256":"892582e251f4315db660154da609f14f04a025d1a7911281a51091bdef81b0de","source":{"kind":"arxiv","id":"1701.06220","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06220","created_at":"2026-05-18T00:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06220v1","created_at":"2026-05-18T00:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06220","created_at":"2026-05-18T00:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"RESYFYSR6QYV","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RESYFYSR6QYV3NTA","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RESYFYSR","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:RESYFYSR6QYV3NTACVG2MCPRJ4","target":"record","payload":{"canonical_record":{"source":{"id":"1701.06220","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-01-22T20:18:26Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"6a78d246ddbd3a0802ebc48f213be4fd45db4ac946e4ee8dc70a5b0ec15ed01d","abstract_canon_sha256":"ed62c713725084e2d8d6654abc206981fa641c4b2b039e250d293c40b69d8e8a"},"schema_version":"1.0"},"canonical_sha256":"892582e251f4315db660154da609f14f04a025d1a7911281a51091bdef81b0de","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:18.951674Z","signature_b64":"uHYDHqRQiqHcHbTIWSAPZyq+T4cijFmy/8lOqwiPMmcBvf8APXz2m566vIkK6B3vC4FUGZj097tCfovp/P6GAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"892582e251f4315db660154da609f14f04a025d1a7911281a51091bdef81b0de","last_reissued_at":"2026-05-18T00:52:18.951100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:18.951100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.06220","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":"2026-05-18T00:52:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IagPhC4G6WduiI8nMkYTPa9bwsU2EZVO8bgvn5RIz0/k8riXCigoRUKDPtr0nXnaxmKi7eEqCJeJ7XeDCSk2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:05:59.416233Z"},"content_sha256":"2b087fccac888f7c1bff4dd949bf8095784ce95e2a9a62ebd00942f0199125f4","schema_version":"1.0","event_id":"sha256:2b087fccac888f7c1bff4dd949bf8095784ce95e2a9a62ebd00942f0199125f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:RESYFYSR6QYV3NTACVG2MCPRJ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Distributed Clustering for Multiuser Networks through Coalition Formation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"cs.GT","authors_text":"Eduard Jorswieck, Mats Bengtsson, Rami Mochaourab","submitted_at":"2017-01-22T20:18:26Z","abstract_excerpt":"Clustering mechanisms are essential in certain multiuser networks for achieving efficient resource utilization. This lecture note presents the theory of coalition formation as a useful tool for distributed clustering problems. We reveal the generality of the theory, and study complexity aspects which must be considered in multiuser networks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06220","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":"2026-05-18T00:52:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Slp3AYQo9nU1owdbN7r08H8Yxi9EBNpIVuxGbaLnrt4x9e5LMsfGImSqEIsRXGd5e4Krro0cZeOfNroZC1yBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:05:59.417028Z"},"content_sha256":"bb8e66ea5c76eb1085eeb9e8f92e2c310cfce0d41d5cb41af681384882b43a84","schema_version":"1.0","event_id":"sha256:bb8e66ea5c76eb1085eeb9e8f92e2c310cfce0d41d5cb41af681384882b43a84"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RESYFYSR6QYV3NTACVG2MCPRJ4/bundle.json","state_url":"https://pith.science/pith/RESYFYSR6QYV3NTACVG2MCPRJ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RESYFYSR6QYV3NTACVG2MCPRJ4/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":"2026-05-28T19:05:59Z","links":{"resolver":"https://pith.science/pith/RESYFYSR6QYV3NTACVG2MCPRJ4","bundle":"https://pith.science/pith/RESYFYSR6QYV3NTACVG2MCPRJ4/bundle.json","state":"https://pith.science/pith/RESYFYSR6QYV3NTACVG2MCPRJ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RESYFYSR6QYV3NTACVG2MCPRJ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RESYFYSR6QYV3NTACVG2MCPRJ4","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":"ed62c713725084e2d8d6654abc206981fa641c4b2b039e250d293c40b69d8e8a","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-01-22T20:18:26Z","title_canon_sha256":"6a78d246ddbd3a0802ebc48f213be4fd45db4ac946e4ee8dc70a5b0ec15ed01d"},"schema_version":"1.0","source":{"id":"1701.06220","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.06220","created_at":"2026-05-18T00:52:18Z"},{"alias_kind":"arxiv_version","alias_value":"1701.06220v1","created_at":"2026-05-18T00:52:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.06220","created_at":"2026-05-18T00:52:18Z"},{"alias_kind":"pith_short_12","alias_value":"RESYFYSR6QYV","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RESYFYSR6QYV3NTA","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RESYFYSR","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:bb8e66ea5c76eb1085eeb9e8f92e2c310cfce0d41d5cb41af681384882b43a84","target":"graph","created_at":"2026-05-18T00:52:18Z","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":"Clustering mechanisms are essential in certain multiuser networks for achieving efficient resource utilization. This lecture note presents the theory of coalition formation as a useful tool for distributed clustering problems. We reveal the generality of the theory, and study complexity aspects which must be considered in multiuser networks.","authors_text":"Eduard Jorswieck, Mats Bengtsson, Rami Mochaourab","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-01-22T20:18:26Z","title":"Distributed Clustering for Multiuser Networks through Coalition Formation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.06220","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":"sha256:2b087fccac888f7c1bff4dd949bf8095784ce95e2a9a62ebd00942f0199125f4","target":"record","created_at":"2026-05-18T00:52:18Z","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":"ed62c713725084e2d8d6654abc206981fa641c4b2b039e250d293c40b69d8e8a","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-01-22T20:18:26Z","title_canon_sha256":"6a78d246ddbd3a0802ebc48f213be4fd45db4ac946e4ee8dc70a5b0ec15ed01d"},"schema_version":"1.0","source":{"id":"1701.06220","kind":"arxiv","version":1}},"canonical_sha256":"892582e251f4315db660154da609f14f04a025d1a7911281a51091bdef81b0de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"892582e251f4315db660154da609f14f04a025d1a7911281a51091bdef81b0de","first_computed_at":"2026-05-18T00:52:18.951100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:18.951100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uHYDHqRQiqHcHbTIWSAPZyq+T4cijFmy/8lOqwiPMmcBvf8APXz2m566vIkK6B3vC4FUGZj097tCfovp/P6GAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:18.951674Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.06220","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b087fccac888f7c1bff4dd949bf8095784ce95e2a9a62ebd00942f0199125f4","sha256:bb8e66ea5c76eb1085eeb9e8f92e2c310cfce0d41d5cb41af681384882b43a84"],"state_sha256":"a900f2dd35b3e46cb9dfbadb7b465aaed784c0c52b96f914bbc2ad67cd8f83d6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUaGewrMRmUNPyLYWAltfAeYMQ04lv7UENxY20ThPwNJ249q48YZNIBUFnYcOGyb6RE1ldpbUj/E7ebyxMvACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:05:59.421029Z","bundle_sha256":"7ca7a99ce06150a3f5d6b2a7dc2268cebe8b9b48409b581a162263341099fa68"}}