{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:JSZK4YTNYDJEHRN4Y7P44RVANK","short_pith_number":"pith:JSZK4YTN","schema_version":"1.0","canonical_sha256":"4cb2ae626dc0d243c5bcc7dfce46a06a87c8dececf5c53aa9e70a25745f2219c","source":{"kind":"arxiv","id":"1708.07763","version":3},"attestation_state":"computed","paper":{"title":"A Tensor-Based Framework for Studying Eigenvector Multicentrality in Multilayer Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"H. Vincent Poor, Jiming Chen, Junshan Zhang, Mincheng Wu, Shibo He, Yang-Yu Liu, Yongtao Zhang, Youxian Sun","submitted_at":"2017-08-25T14:47:36Z","abstract_excerpt":"Centrality is widely recognized as one of the most critical measures to provide insight in the structure and function of complex networks. While various centrality measures have been proposed for single-layer networks, a general framework for studying centrality in multilayer networks (i.e., multicentrality) is still lacking. In this study, a tensor-based framework is introduced to study eigenvector multicentrality, which enables the quantification of the impact of interlayer influence on multicentrality, providing a systematic way to describe how multicentrality propagates across different la"},"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":"1708.07763","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-08-25T14:47:36Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"16c96971922110f4da4e754474bba540a1f9a6949d45a6882923f2195f99b376","abstract_canon_sha256":"79867908704a2f3ada72a0223f0e632d0cdbb138c05669efc992ca6e8dce22e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:36.784430Z","signature_b64":"MKT8tRtxSLIIZRXx89KBSOdemoq3UfUCLyOU9gyvT8FTM9KUwBhQ7P2Llb3Abg1XO0fez+irD57bYZrsetVeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4cb2ae626dc0d243c5bcc7dfce46a06a87c8dececf5c53aa9e70a25745f2219c","last_reissued_at":"2026-05-17T23:54:36.783917Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:36.783917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Tensor-Based Framework for Studying Eigenvector Multicentrality in Multilayer Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"H. Vincent Poor, Jiming Chen, Junshan Zhang, Mincheng Wu, Shibo He, Yang-Yu Liu, Yongtao Zhang, Youxian Sun","submitted_at":"2017-08-25T14:47:36Z","abstract_excerpt":"Centrality is widely recognized as one of the most critical measures to provide insight in the structure and function of complex networks. While various centrality measures have been proposed for single-layer networks, a general framework for studying centrality in multilayer networks (i.e., multicentrality) is still lacking. In this study, a tensor-based framework is introduced to study eigenvector multicentrality, which enables the quantification of the impact of interlayer influence on multicentrality, providing a systematic way to describe how multicentrality propagates across different la"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07763","kind":"arxiv","version":3},"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":"1708.07763","created_at":"2026-05-17T23:54:36.783999+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07763v3","created_at":"2026-05-17T23:54:36.783999+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07763","created_at":"2026-05-17T23:54:36.783999+00:00"},{"alias_kind":"pith_short_12","alias_value":"JSZK4YTNYDJE","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"JSZK4YTNYDJEHRN4","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"JSZK4YTN","created_at":"2026-05-18T12:31:24.725408+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/JSZK4YTNYDJEHRN4Y7P44RVANK","json":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK.json","graph_json":"https://pith.science/api/pith-number/JSZK4YTNYDJEHRN4Y7P44RVANK/graph.json","events_json":"https://pith.science/api/pith-number/JSZK4YTNYDJEHRN4Y7P44RVANK/events.json","paper":"https://pith.science/paper/JSZK4YTN"},"agent_actions":{"view_html":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK","download_json":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK.json","view_paper":"https://pith.science/paper/JSZK4YTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07763&json=true","fetch_graph":"https://pith.science/api/pith-number/JSZK4YTNYDJEHRN4Y7P44RVANK/graph.json","fetch_events":"https://pith.science/api/pith-number/JSZK4YTNYDJEHRN4Y7P44RVANK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK/action/storage_attestation","attest_author":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK/action/author_attestation","sign_citation":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK/action/citation_signature","submit_replication":"https://pith.science/pith/JSZK4YTNYDJEHRN4Y7P44RVANK/action/replication_record"}},"created_at":"2026-05-17T23:54:36.783999+00:00","updated_at":"2026-05-17T23:54:36.783999+00:00"}