{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:HKFSXU4X4PWG5CFDK6BREFV3PU","short_pith_number":"pith:HKFSXU4X","schema_version":"1.0","canonical_sha256":"3a8b2bd397e3ec6e88a357831216bb7d0cd12310db174e3e9a7b5af1439644c0","source":{"kind":"arxiv","id":"1406.3387","version":2},"attestation_state":"computed","paper":{"title":"The Interplay Between Dynamics and Networks: Centrality, Communities, and Cheeger Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Kristina Lerman, Rumi Ghosh, Shang-Hua Teng, Xiaoran Yan","submitted_at":"2014-06-12T23:12:17Z","abstract_excerpt":"We study the interplay between a dynamic process and the structure of the network on which it is defined. Specifically, we examine the impact of this interaction on the quality-measure of network clusters and node centrality. This enables us to effectively identify network communities and important nodes participating in the dynamics. As the first step towards this objective, we introduce an umbrella framework for defining and characterizing an ensemble of dynamic processes on a network. This framework generalizes the traditional Laplacian framework to continuous-time biased random walks and a"},"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":"1406.3387","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2014-06-12T23:12:17Z","cross_cats_sorted":["cs.DM","physics.soc-ph"],"title_canon_sha256":"3fd5ef231f1ed52cc4d6f9b9762fc38199a2c2b8c76395cf94dc19f2605b9a13","abstract_canon_sha256":"503e517e4a183c1aec197e2e093a69a4da20210c441e99c727005d10b740ce01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:19.907136Z","signature_b64":"5pFrmdS5rWaG4HSVLY83LIvVj3UF52FAqLHhzGFqLS/MJ4LblSHRnjjFUor3H2PRzpHYutctZkcIy+JrAB2UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a8b2bd397e3ec6e88a357831216bb7d0cd12310db174e3e9a7b5af1439644c0","last_reissued_at":"2026-05-18T02:20:19.906567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:19.906567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Interplay Between Dynamics and Networks: Centrality, Communities, and Cheeger Inequality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Kristina Lerman, Rumi Ghosh, Shang-Hua Teng, Xiaoran Yan","submitted_at":"2014-06-12T23:12:17Z","abstract_excerpt":"We study the interplay between a dynamic process and the structure of the network on which it is defined. Specifically, we examine the impact of this interaction on the quality-measure of network clusters and node centrality. This enables us to effectively identify network communities and important nodes participating in the dynamics. As the first step towards this objective, we introduce an umbrella framework for defining and characterizing an ensemble of dynamic processes on a network. This framework generalizes the traditional Laplacian framework to continuous-time biased random walks and a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3387","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":"1406.3387","created_at":"2026-05-18T02:20:19.906645+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.3387v2","created_at":"2026-05-18T02:20:19.906645+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3387","created_at":"2026-05-18T02:20:19.906645+00:00"},{"alias_kind":"pith_short_12","alias_value":"HKFSXU4X4PWG","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_16","alias_value":"HKFSXU4X4PWG5CFD","created_at":"2026-05-18T12:28:30.664211+00:00"},{"alias_kind":"pith_short_8","alias_value":"HKFSXU4X","created_at":"2026-05-18T12:28:30.664211+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/HKFSXU4X4PWG5CFDK6BREFV3PU","json":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU.json","graph_json":"https://pith.science/api/pith-number/HKFSXU4X4PWG5CFDK6BREFV3PU/graph.json","events_json":"https://pith.science/api/pith-number/HKFSXU4X4PWG5CFDK6BREFV3PU/events.json","paper":"https://pith.science/paper/HKFSXU4X"},"agent_actions":{"view_html":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU","download_json":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU.json","view_paper":"https://pith.science/paper/HKFSXU4X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.3387&json=true","fetch_graph":"https://pith.science/api/pith-number/HKFSXU4X4PWG5CFDK6BREFV3PU/graph.json","fetch_events":"https://pith.science/api/pith-number/HKFSXU4X4PWG5CFDK6BREFV3PU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU/action/storage_attestation","attest_author":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU/action/author_attestation","sign_citation":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU/action/citation_signature","submit_replication":"https://pith.science/pith/HKFSXU4X4PWG5CFDK6BREFV3PU/action/replication_record"}},"created_at":"2026-05-18T02:20:19.906645+00:00","updated_at":"2026-05-18T02:20:19.906645+00:00"}