{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AZKAS7AI3VV6AFRC2FQ54CWYDY","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":"1b8bc8f6e58b120fe4319afb422759eb976cfc567096a2708c8f866ca1a0c39d","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-13T17:47:25Z","title_canon_sha256":"03a8f3a2cfcda2af41c088e78e647632ae3a6a863229106017ad4a36dbe88d0f"},"schema_version":"1.0","source":{"id":"1502.04067","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04067","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04067v1","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04067","created_at":"2026-05-18T02:27:06Z"},{"alias_kind":"pith_short_12","alias_value":"AZKAS7AI3VV6","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"AZKAS7AI3VV6AFRC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"AZKAS7AI","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:08693f21b60a50d1bf8e7206062f7e2b79a53fa1762b9f0f89380cd4251b727d","target":"graph","created_at":"2026-05-18T02:27:06Z","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":"Bursting neurons fire rapid sequences of action potential spikes followed by a quiescent period. The basic dynamical mechanism of bursting is the slow currents that modulate a fast spiking activity caused by rapid ionic currents. Minimal models of bursting neurons must include both effects. We considered one of these models and its relation with a generalized Kuramoto model, thanks to the definition of a geometrical phase for bursting and a corresponding frequency. We considered neuronal networks with different connection topologies and investigated the transition from a non-synchronized to a ","authors_text":"Fabiano A.S. Ferrari, Ricardo L. Viana, Ruedi Stoop, S\\'ergio R. Lopes","cross_cats":["q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-13T17:47:25Z","title":"Phase synchronization of coupled bursting neurons and the generalized Kuramoto model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04067","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":"sha256:6d2ca5ed9fc8462589a8f5bb723f9ec752359dbe24428fd021147ad3fc598784","target":"record","created_at":"2026-05-18T02:27:06Z","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":"1b8bc8f6e58b120fe4319afb422759eb976cfc567096a2708c8f866ca1a0c39d","cross_cats_sorted":["q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-02-13T17:47:25Z","title_canon_sha256":"03a8f3a2cfcda2af41c088e78e647632ae3a6a863229106017ad4a36dbe88d0f"},"schema_version":"1.0","source":{"id":"1502.04067","kind":"arxiv","version":1}},"canonical_sha256":"0654097c08dd6be01622d161de0ad81e3b08169cc9e5b7588da75a934f065928","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0654097c08dd6be01622d161de0ad81e3b08169cc9e5b7588da75a934f065928","first_computed_at":"2026-05-18T02:27:06.611761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:06.611761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GpEeyxKC/T9YWNX3e8TOeKn52wfUUeDw3Eij05whx2p9OY5ExTZWSCXYyTDyaLc3u8jroD6RCJ0lBRjgDhdICw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:06.612479Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04067","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d2ca5ed9fc8462589a8f5bb723f9ec752359dbe24428fd021147ad3fc598784","sha256:08693f21b60a50d1bf8e7206062f7e2b79a53fa1762b9f0f89380cd4251b727d"],"state_sha256":"89bf0b75b26267f38fc1f618d79fc44435c282a88a24cf368b1a672f5493cb5d"}