{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QYWWXKKSK4YGQGMU6HGUXUCEL3","short_pith_number":"pith:QYWWXKKS","schema_version":"1.0","canonical_sha256":"862d6ba9525730681994f1cd4bd0445efc2e52ba006603ed60b13c4c4ce9c0d8","source":{"kind":"arxiv","id":"1804.02981","version":1},"attestation_state":"computed","paper":{"title":"Lumping the Approximate Master Equation for Multistate Processes on Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Charalampos Kyriakopoulos, Gerrit Gro{\\ss}mann, Luca Bortolussi, Verena Wolf","submitted_at":"2018-04-09T13:49:38Z","abstract_excerpt":"Complex networks play an important role in human society and in nature. Stochastic multistate processes provide a powerful framework to model a variety of emerging phenomena such as the dynamics of an epidemic or the spreading of information on complex networks. In recent years, mean-field type approximations gained widespread attention as a tool to analyze and understand complex network dynamics. They reduce the model's complexity by assuming that all nodes with a similar local structure behave identically. Among these methods the approximate master equation (AME) provides the most accurate d"},"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":"1804.02981","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-04-09T13:49:38Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"1d87be03d6ca059361137ea639917f6ac985265c5983e72c7f05a8ec7fe5ee1b","abstract_canon_sha256":"6cb1a35f2db8bd5b40ec1269c036357fe6e5652cbd282296d5666aa90d60aa8d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:57.756108Z","signature_b64":"9oZO1c5DcwrDKIHg8/7jsKAAdSkJMvdEtmGCyqjKbJtKMIEpk9jE4NeR/CCKLoaR7Cq2PF144rj17kI5avwIAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"862d6ba9525730681994f1cd4bd0445efc2e52ba006603ed60b13c4c4ce9c0d8","last_reissued_at":"2026-05-18T00:18:57.754742Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:57.754742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lumping the Approximate Master Equation for Multistate Processes on Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Charalampos Kyriakopoulos, Gerrit Gro{\\ss}mann, Luca Bortolussi, Verena Wolf","submitted_at":"2018-04-09T13:49:38Z","abstract_excerpt":"Complex networks play an important role in human society and in nature. Stochastic multistate processes provide a powerful framework to model a variety of emerging phenomena such as the dynamics of an epidemic or the spreading of information on complex networks. In recent years, mean-field type approximations gained widespread attention as a tool to analyze and understand complex network dynamics. They reduce the model's complexity by assuming that all nodes with a similar local structure behave identically. Among these methods the approximate master equation (AME) provides the most accurate d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02981","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1804.02981","created_at":"2026-05-18T00:18:57.755428+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.02981v1","created_at":"2026-05-18T00:18:57.755428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02981","created_at":"2026-05-18T00:18:57.755428+00:00"},{"alias_kind":"pith_short_12","alias_value":"QYWWXKKSK4YG","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"QYWWXKKSK4YGQGMU","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"QYWWXKKS","created_at":"2026-05-18T12:32:50.500415+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/QYWWXKKSK4YGQGMU6HGUXUCEL3","json":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3.json","graph_json":"https://pith.science/api/pith-number/QYWWXKKSK4YGQGMU6HGUXUCEL3/graph.json","events_json":"https://pith.science/api/pith-number/QYWWXKKSK4YGQGMU6HGUXUCEL3/events.json","paper":"https://pith.science/paper/QYWWXKKS"},"agent_actions":{"view_html":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3","download_json":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3.json","view_paper":"https://pith.science/paper/QYWWXKKS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.02981&json=true","fetch_graph":"https://pith.science/api/pith-number/QYWWXKKSK4YGQGMU6HGUXUCEL3/graph.json","fetch_events":"https://pith.science/api/pith-number/QYWWXKKSK4YGQGMU6HGUXUCEL3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3/action/storage_attestation","attest_author":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3/action/author_attestation","sign_citation":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3/action/citation_signature","submit_replication":"https://pith.science/pith/QYWWXKKSK4YGQGMU6HGUXUCEL3/action/replication_record"}},"created_at":"2026-05-18T00:18:57.755428+00:00","updated_at":"2026-05-18T00:18:57.755428+00:00"}