{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7DVDHK67OMZCEQPNC7K2HEYIZQ","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":"8bae28e1fae8914819299796cc84b64ab3877ba0ef048a725ef7ed190ff0ba2d","cross_cats_sorted":["math.DS","math.OC","physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-07-24T21:16:01Z","title_canon_sha256":"e6360fdfbfc1760d1904c8123bf659669f1712de2578a1b7b887f73cb924df1a"},"schema_version":"1.0","source":{"id":"1507.07017","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07017","created_at":"2026-05-18T01:00:19Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07017v2","created_at":"2026-05-18T01:00:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07017","created_at":"2026-05-18T01:00:19Z"},{"alias_kind":"pith_short_12","alias_value":"7DVDHK67OMZC","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7DVDHK67OMZCEQPN","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7DVDHK67","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:53b47f0b25625c1432afa9a08765fb36470addff893dd30a0f66c92526c41e0c","target":"graph","created_at":"2026-05-18T01:00:19Z","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":"In this paper, we analyze the dynamics of spreading processes taking place over time-varying networks. A common approach to model time-varying networks is via Markovian random graph processes. This modeling approach presents the following limitation: Markovian random graphs can only replicate switching patterns with exponential inter-switching times, while in real applications these times are usually far from exponential. In this paper, we introduce a flexible and tractable extended family of processes able to replicate, with arbitrary accuracy, any distribution of inter-switching times. We th","authors_text":"Masaki Ogura, Victor M. Preciado","cross_cats":["math.DS","math.OC","physics.soc-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-07-24T21:16:01Z","title":"Stability of Spreading Processes over Time-Varying Large-Scale Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07017","kind":"arxiv","version":2},"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":"sha256:7675c644c14dd140fe2d92a4a47bdc95208e0698c1185aa96fcba5548ad3c485","target":"record","created_at":"2026-05-18T01:00:19Z","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":"8bae28e1fae8914819299796cc84b64ab3877ba0ef048a725ef7ed190ff0ba2d","cross_cats_sorted":["math.DS","math.OC","physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2015-07-24T21:16:01Z","title_canon_sha256":"e6360fdfbfc1760d1904c8123bf659669f1712de2578a1b7b887f73cb924df1a"},"schema_version":"1.0","source":{"id":"1507.07017","kind":"arxiv","version":2}},"canonical_sha256":"f8ea33abdf73322241ed17d5a39308cc377b79bd1ce785112276fa1b6efb7e5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8ea33abdf73322241ed17d5a39308cc377b79bd1ce785112276fa1b6efb7e5c","first_computed_at":"2026-05-18T01:00:19.789046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:19.789046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZVRkJGFzRdwqZk6P3lkGfth8UoMsXU4xG5miokl0Vx6bLOrOsm+6xi2ETIlwcC2ykYrFgWjwoZFVbEbOd9lMCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:19.789562Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07017","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7675c644c14dd140fe2d92a4a47bdc95208e0698c1185aa96fcba5548ad3c485","sha256:53b47f0b25625c1432afa9a08765fb36470addff893dd30a0f66c92526c41e0c"],"state_sha256":"e613184867a1a2f20f6aea14abb26efbbe39bc8cb2f3e608d909919ce2349dc0"}