{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:JEBSX7SKOBXEO45FQ3X3BJJRYV","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":"60acf614de888db4e9a3891aac22fc86e96eaa156146c5b656b8aa4d76fd6942","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-02-27T22:10:36Z","title_canon_sha256":"b3a3b60005400bb55ae7e08c99ed19c43748239b5425807ca61bee768c5ea2d8"},"schema_version":"1.0","source":{"id":"1702.08556","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.08556","created_at":"2026-05-18T00:46:00Z"},{"alias_kind":"arxiv_version","alias_value":"1702.08556v3","created_at":"2026-05-18T00:46:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.08556","created_at":"2026-05-18T00:46:00Z"},{"alias_kind":"pith_short_12","alias_value":"JEBSX7SKOBXE","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"JEBSX7SKOBXEO45F","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"JEBSX7SK","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:26ef359d241d72fff66774b9e01a0d6f5ea1ad0435c9eeb9cd0cab65f7bc21aa","target":"graph","created_at":"2026-05-18T00:46:00Z","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":"A generic distinct mechanism for the emergence of spatially localized states embedded in an oscillatory background is demonstrated by using 2:1 frequency locking oscillatory system. The localization is of Turing type and appears in two space dimensions as a comb-like state in either $\\pi$ phase shifted Hopf oscillations or inside a spiral core. Specifically, the localized states appear in absence of the well known flip-flop dynamics (associated with collapsed homoclinic snaking) that is known to arise in the vicinity of Hopf-Turing bifurcation in one space dimension. Derivation and analysis of","authors_text":"Arik Yochelis, Paulino Monroy Castillero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-02-27T22:10:36Z","title":"Comb-like Turing patterns embedded in Hopf oscillations: Spatially localized states outside the 2:1 frequency locked region"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.08556","kind":"arxiv","version":3},"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":"sha256:20201d2c60ccb3500196bb3e5f5450c5a8bea156419fc96b2bf8d48bd5040809","target":"record","created_at":"2026-05-18T00:46:00Z","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":"60acf614de888db4e9a3891aac22fc86e96eaa156146c5b656b8aa4d76fd6942","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2017-02-27T22:10:36Z","title_canon_sha256":"b3a3b60005400bb55ae7e08c99ed19c43748239b5425807ca61bee768c5ea2d8"},"schema_version":"1.0","source":{"id":"1702.08556","kind":"arxiv","version":3}},"canonical_sha256":"49032bfe4a706e4773a586efb0a531c55cf395546365cb935b57ee578a4704b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49032bfe4a706e4773a586efb0a531c55cf395546365cb935b57ee578a4704b3","first_computed_at":"2026-05-18T00:46:00.297939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:00.297939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Oj9eHdoi81ugQCI19XiD2rx6TVbpjZDIq5agtmm0SWqqXfS+Nvvk/kfaHh6+Qrj1H6y54KvXjfqm5RyUrQnbCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:00.298626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.08556","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20201d2c60ccb3500196bb3e5f5450c5a8bea156419fc96b2bf8d48bd5040809","sha256:26ef359d241d72fff66774b9e01a0d6f5ea1ad0435c9eeb9cd0cab65f7bc21aa"],"state_sha256":"c3d0194c13f181d15c3fd2a2419be920199cd748ce68757417e2150fdb2eed68"}