{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EBHXY62OUNQRDNDBZWNJLWY2JX","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":"00d98df210f59f667d36830fe2da4b9ac9ced7002a16204ce1d685d59f5cddc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-28T16:10:43Z","title_canon_sha256":"34bb111d42bff2cf44691b006701cdf6c2e24a47a177b3d550dc6721f220d214"},"schema_version":"1.0","source":{"id":"1607.08514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.08514","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"arxiv_version","alias_value":"1607.08514v1","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.08514","created_at":"2026-05-18T00:27:57Z"},{"alias_kind":"pith_short_12","alias_value":"EBHXY62OUNQR","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"EBHXY62OUNQRDNDB","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"EBHXY62O","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:c19e410a7eaedaca9fb4d0a0628ee6e21bce4818e2b86b383b73f310c9d041c6","target":"graph","created_at":"2026-05-18T00:27:57Z","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":"Randomly evolving systems composed by elements which interact among each other have always been of great interest in several scientific fields. This work deals with the synchronization phenomenon, that could be roughly defined as the tendency of different components to adopt a common behavior. We continue the study of a model of interacting stochastic processes with reinforcement, that recently has been introduced in Crimaldi et al. (2016, arXiv:1602.06217). Generally speaking, by reinforcement we mean any mechanism for which the probability that a given event occurs has an increasing dependen","authors_text":"Andrea Ghiglietti, Giacomo Aletti, Irene Crimaldi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-28T16:10:43Z","title":"Synchronization of Reinforced Stochastic Processes with a Network-based Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.08514","kind":"arxiv","version":1},"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":"sha256:0ed0217954c615b5102771da789b4780aff680d543e30f4c8ded33ae74755486","target":"record","created_at":"2026-05-18T00:27:57Z","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":"00d98df210f59f667d36830fe2da4b9ac9ced7002a16204ce1d685d59f5cddc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-07-28T16:10:43Z","title_canon_sha256":"34bb111d42bff2cf44691b006701cdf6c2e24a47a177b3d550dc6721f220d214"},"schema_version":"1.0","source":{"id":"1607.08514","kind":"arxiv","version":1}},"canonical_sha256":"204f7c7b4ea36111b461cd9a95db1a4dec9fa54c036675d7c2c5355c5679a32f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"204f7c7b4ea36111b461cd9a95db1a4dec9fa54c036675d7c2c5355c5679a32f","first_computed_at":"2026-05-18T00:27:57.653190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:57.653190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V5WMwZWQtkYe3xM7MpoGewOJZLpWr0XJT4kbiLkHEfUMV4Bi56WYuEGpowkK+elC+ZM/nrYIyI20pUAadvFTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:57.653846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.08514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ed0217954c615b5102771da789b4780aff680d543e30f4c8ded33ae74755486","sha256:c19e410a7eaedaca9fb4d0a0628ee6e21bce4818e2b86b383b73f310c9d041c6"],"state_sha256":"9b46f827a3b13a4d7b5a756fa0dc513e9c85d9ef5cb8c5c9c7526e38cdc59ccd"}