{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:5UCULVND2A7K3SQ7KNWXLQEVVP","short_pith_number":"pith:5UCULVND","canonical_record":{"source":{"id":"1507.03065","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-11T04:01:54Z","cross_cats_sorted":[],"title_canon_sha256":"177bc7fa1092dbca474d8ac1f3eb65d0c7a1e858249b4c6cadb887e01114664b","abstract_canon_sha256":"bdbdf8f94fe4a0d7d6aacf8d3bd935936afaf1bbef79a8e42d216746e29ea8dd"},"schema_version":"1.0"},"canonical_sha256":"ed0545d5a3d03eadca1f536d75c095abe51ddcab6237c4f1d969fe7fd469e0c7","source":{"kind":"arxiv","id":"1507.03065","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03065","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03065v2","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03065","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"5UCULVND2A7K","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5UCULVND2A7K3SQ7","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5UCULVND","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:5UCULVND2A7K3SQ7KNWXLQEVVP","target":"record","payload":{"canonical_record":{"source":{"id":"1507.03065","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-11T04:01:54Z","cross_cats_sorted":[],"title_canon_sha256":"177bc7fa1092dbca474d8ac1f3eb65d0c7a1e858249b4c6cadb887e01114664b","abstract_canon_sha256":"bdbdf8f94fe4a0d7d6aacf8d3bd935936afaf1bbef79a8e42d216746e29ea8dd"},"schema_version":"1.0"},"canonical_sha256":"ed0545d5a3d03eadca1f536d75c095abe51ddcab6237c4f1d969fe7fd469e0c7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:42.532361Z","signature_b64":"M7ajsAs270iSCW5vfiuUWRnrD/dAmQprhg83mtfL25r0H4hBOSRGzOu6r5MdOu/bV80rVpoardocK6svwMojAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed0545d5a3d03eadca1f536d75c095abe51ddcab6237c4f1d969fe7fd469e0c7","last_reissued_at":"2026-05-18T01:33:42.532002Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:42.532002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.03065","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:33:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0ANzUPluzuCUuOzHKA0WcPZODWxWVTjk9NqXtIq3OdYElu3IqsIO81ulhh4/Y1s7CmhSqVduHj59v/qDa6HQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:07:25.146974Z"},"content_sha256":"d0b3a815f9c56439dc5e1373bbf4efd8c281085e2a49d43f0ce43be9b555b46b","schema_version":"1.0","event_id":"sha256:d0b3a815f9c56439dc5e1373bbf4efd8c281085e2a49d43f0ce43be9b555b46b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:5UCULVND2A7K3SQ7KNWXLQEVVP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"RS Flip-Flop Circuit Dynamics Revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Aminur Rahman, Denis Blackmore","submitted_at":"2015-07-11T04:01:54Z","abstract_excerpt":"Logical RS flip-flop circuits are investigated once again in the context of discrete planar dynamical systems, but this time starting with simple bilinear (minimal) component models based on fundamental principles. The dynamics of the minimal model is described in detail, and shown to exhibit some of the expected properties, but not the chaotic regimes typically found in simulations of physical realizations of chaotic RS flip-flop circuits. Any physical realization of a chaotic logical circuit must necessarily involve small perturbations - usually with quite large or even nonexisting derivativ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03065","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:33:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"prGZ4Y3SguBL38pM8WpiMwKTB6cXga5Hl3MaxJoQhPWz2E3Q3VGbpOF8h6FQXcM/VXqyv8BZsYlZAWSlFnfbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T10:07:25.147688Z"},"content_sha256":"bb9e78d24afd4246676313732d9c68ec1351e18ff881bcd7c542ef874a0edd32","schema_version":"1.0","event_id":"sha256:bb9e78d24afd4246676313732d9c68ec1351e18ff881bcd7c542ef874a0edd32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5UCULVND2A7K3SQ7KNWXLQEVVP/bundle.json","state_url":"https://pith.science/pith/5UCULVND2A7K3SQ7KNWXLQEVVP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5UCULVND2A7K3SQ7KNWXLQEVVP/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-09T10:07:25Z","links":{"resolver":"https://pith.science/pith/5UCULVND2A7K3SQ7KNWXLQEVVP","bundle":"https://pith.science/pith/5UCULVND2A7K3SQ7KNWXLQEVVP/bundle.json","state":"https://pith.science/pith/5UCULVND2A7K3SQ7KNWXLQEVVP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5UCULVND2A7K3SQ7KNWXLQEVVP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:5UCULVND2A7K3SQ7KNWXLQEVVP","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":"bdbdf8f94fe4a0d7d6aacf8d3bd935936afaf1bbef79a8e42d216746e29ea8dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-11T04:01:54Z","title_canon_sha256":"177bc7fa1092dbca474d8ac1f3eb65d0c7a1e858249b4c6cadb887e01114664b"},"schema_version":"1.0","source":{"id":"1507.03065","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03065","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03065v2","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03065","created_at":"2026-05-18T01:33:42Z"},{"alias_kind":"pith_short_12","alias_value":"5UCULVND2A7K","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"5UCULVND2A7K3SQ7","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"5UCULVND","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:bb9e78d24afd4246676313732d9c68ec1351e18ff881bcd7c542ef874a0edd32","target":"graph","created_at":"2026-05-18T01:33:42Z","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":"Logical RS flip-flop circuits are investigated once again in the context of discrete planar dynamical systems, but this time starting with simple bilinear (minimal) component models based on fundamental principles. The dynamics of the minimal model is described in detail, and shown to exhibit some of the expected properties, but not the chaotic regimes typically found in simulations of physical realizations of chaotic RS flip-flop circuits. Any physical realization of a chaotic logical circuit must necessarily involve small perturbations - usually with quite large or even nonexisting derivativ","authors_text":"Aminur Rahman, Denis Blackmore","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-11T04:01:54Z","title":"RS Flip-Flop Circuit Dynamics Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03065","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:d0b3a815f9c56439dc5e1373bbf4efd8c281085e2a49d43f0ce43be9b555b46b","target":"record","created_at":"2026-05-18T01:33:42Z","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":"bdbdf8f94fe4a0d7d6aacf8d3bd935936afaf1bbef79a8e42d216746e29ea8dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-07-11T04:01:54Z","title_canon_sha256":"177bc7fa1092dbca474d8ac1f3eb65d0c7a1e858249b4c6cadb887e01114664b"},"schema_version":"1.0","source":{"id":"1507.03065","kind":"arxiv","version":2}},"canonical_sha256":"ed0545d5a3d03eadca1f536d75c095abe51ddcab6237c4f1d969fe7fd469e0c7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed0545d5a3d03eadca1f536d75c095abe51ddcab6237c4f1d969fe7fd469e0c7","first_computed_at":"2026-05-18T01:33:42.532002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:42.532002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M7ajsAs270iSCW5vfiuUWRnrD/dAmQprhg83mtfL25r0H4hBOSRGzOu6r5MdOu/bV80rVpoardocK6svwMojAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:42.532361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03065","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0b3a815f9c56439dc5e1373bbf4efd8c281085e2a49d43f0ce43be9b555b46b","sha256:bb9e78d24afd4246676313732d9c68ec1351e18ff881bcd7c542ef874a0edd32"],"state_sha256":"62848d5c14cf74f1d8695833ec493687a8db00b0b7af236bc060348551e99428"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L5XOgnTv90GuVcTP/yEBwuiPpYX95yDRtG/rDYT6m7WnRQ83yWcY1vp85sJGxeObJPVSATQfmSxQxglvTs/MAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T10:07:25.156004Z","bundle_sha256":"790c7523123caac3fcdf0ed498ec726f41916ed5f3edb0a2175623c226669940"}}