{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:2P4ITHKGHX5BU6FC5HNEKHCUBU","short_pith_number":"pith:2P4ITHKG","schema_version":"1.0","canonical_sha256":"d3f8899d463dfa1a78a2e9da451c540d34924e07038cb7a38ed3e59812a04903","source":{"kind":"arxiv","id":"1606.03911","version":2},"attestation_state":"computed","paper":{"title":"Critical size of ego communication networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Hui Tian, Jian Gao, Qing Wang, Tao Zhou, Zheng Hu","submitted_at":"2016-06-13T12:02:49Z","abstract_excerpt":"With the help of information and communication technologies, studies on the overall social networks have been extensively reported recently. However, investigations on the directed Ego Communication Networks (ECNs) remain insufficient, where an ECN stands for a sub network composed of a centralized individual and his/her direct contacts. In this paper, the directed ECNs are built on the Call Detail Records (CDRs), which cover more than 7 million people of a provincial capital city in China for half a year. Results show that there is a critical size for ECN at about 150, above which the average"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1606.03911","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-06-13T12:02:49Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"f3801582ad7796231ca8c7df0731cc35af9d616e25983b5ed5e58b5c63ec52fb","abstract_canon_sha256":"880c78ea75c18027d217e1aa074a43684db8fab45ec5b5e6975cc9e6e1df44f4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:23.229848Z","signature_b64":"4iZjzdCQpmGrRRhXQrj7Gbw+Y+U8MSxASK14E//p7xxVnyo/7kPy1VLhBHhHbcKw3Ph5zrp8/SvYZ7vME6kyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3f8899d463dfa1a78a2e9da451c540d34924e07038cb7a38ed3e59812a04903","last_reissued_at":"2026-05-18T00:52:23.229242Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:23.229242Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical size of ego communication networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Hui Tian, Jian Gao, Qing Wang, Tao Zhou, Zheng Hu","submitted_at":"2016-06-13T12:02:49Z","abstract_excerpt":"With the help of information and communication technologies, studies on the overall social networks have been extensively reported recently. However, investigations on the directed Ego Communication Networks (ECNs) remain insufficient, where an ECN stands for a sub network composed of a centralized individual and his/her direct contacts. In this paper, the directed ECNs are built on the Call Detail Records (CDRs), which cover more than 7 million people of a provincial capital city in China for half a year. Results show that there is a critical size for ECN at about 150, above which the average"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03911","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1606.03911","created_at":"2026-05-18T00:52:23.229376+00:00"},{"alias_kind":"arxiv_version","alias_value":"1606.03911v2","created_at":"2026-05-18T00:52:23.229376+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03911","created_at":"2026-05-18T00:52:23.229376+00:00"},{"alias_kind":"pith_short_12","alias_value":"2P4ITHKGHX5B","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_16","alias_value":"2P4ITHKGHX5BU6FC","created_at":"2026-05-18T12:29:55.572404+00:00"},{"alias_kind":"pith_short_8","alias_value":"2P4ITHKG","created_at":"2026-05-18T12:29:55.572404+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU","json":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU.json","graph_json":"https://pith.science/api/pith-number/2P4ITHKGHX5BU6FC5HNEKHCUBU/graph.json","events_json":"https://pith.science/api/pith-number/2P4ITHKGHX5BU6FC5HNEKHCUBU/events.json","paper":"https://pith.science/paper/2P4ITHKG"},"agent_actions":{"view_html":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU","download_json":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU.json","view_paper":"https://pith.science/paper/2P4ITHKG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1606.03911&json=true","fetch_graph":"https://pith.science/api/pith-number/2P4ITHKGHX5BU6FC5HNEKHCUBU/graph.json","fetch_events":"https://pith.science/api/pith-number/2P4ITHKGHX5BU6FC5HNEKHCUBU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU/action/storage_attestation","attest_author":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU/action/author_attestation","sign_citation":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU/action/citation_signature","submit_replication":"https://pith.science/pith/2P4ITHKGHX5BU6FC5HNEKHCUBU/action/replication_record"}},"created_at":"2026-05-18T00:52:23.229376+00:00","updated_at":"2026-05-18T00:52:23.229376+00:00"}