{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Z3HTK2DRHRDNZCHRWGAGWGVOVS","short_pith_number":"pith:Z3HTK2DR","canonical_record":{"source":{"id":"1704.01167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-04T20:06:08Z","cross_cats_sorted":[],"title_canon_sha256":"94a105bdf27d011f72b83363ae5cf0a51e4f003cab83b590569783f13afd5dce","abstract_canon_sha256":"cf02464e7ac25d27ce1c0405264690ff9558e6df655640ce8340a4195677b8ab"},"schema_version":"1.0"},"canonical_sha256":"cecf3568713c46dc88f1b1806b1aaeac9e0b565526cdf1fd83b5396e541d91a3","source":{"kind":"arxiv","id":"1704.01167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01167","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01167v1","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01167","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"Z3HTK2DRHRDN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z3HTK2DRHRDNZCHR","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z3HTK2DR","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Z3HTK2DRHRDNZCHRWGAGWGVOVS","target":"record","payload":{"canonical_record":{"source":{"id":"1704.01167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-04T20:06:08Z","cross_cats_sorted":[],"title_canon_sha256":"94a105bdf27d011f72b83363ae5cf0a51e4f003cab83b590569783f13afd5dce","abstract_canon_sha256":"cf02464e7ac25d27ce1c0405264690ff9558e6df655640ce8340a4195677b8ab"},"schema_version":"1.0"},"canonical_sha256":"cecf3568713c46dc88f1b1806b1aaeac9e0b565526cdf1fd83b5396e541d91a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:46.042715Z","signature_b64":"BZuNAhYr+mnynTZ1cclLj+1TONhideS6OG0QNr8I3vyJr62ro11tYl2+91l9NN42wLXFZp4XSw+BFn1tzcJDAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cecf3568713c46dc88f1b1806b1aaeac9e0b565526cdf1fd83b5396e541d91a3","last_reissued_at":"2026-05-18T00:46:46.041959Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:46.041959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1704.01167","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:46:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"15h3ptsUJtMKndJJDybdy+wvNqnZT6ZWv6k+G93NirbneaoiYP61yMB6aMw0PZb76Exovw7Qzr0w8AkkIHGMCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:36:02.256226Z"},"content_sha256":"6b126e82b23615b2545b6fe6a36fc9d0e985a3f21d278f68c8a8d6ebebbb82b2","schema_version":"1.0","event_id":"sha256:6b126e82b23615b2545b6fe6a36fc9d0e985a3f21d278f68c8a8d6ebebbb82b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Z3HTK2DRHRDNZCHRWGAGWGVOVS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Discontinuity Induced Hopf and Neimark-Sacker Bifurcations in a Memristive Murali-Lakshmanan-Chua Circuit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"A. Ishaq Ahamed, M. Lakshmanan","submitted_at":"2017-04-04T20:06:08Z","abstract_excerpt":"We report using Clarke's concept of generalised differential and a modification of Floquet theory to non-smooth oscillations, the occurrence of discontinuity induced Hopf bifurcations and Neimark-Sacker bifurcations leading to quasiperiodic attractors in a memristive Murali-Lakshmanan-Chua (memristive MLC) circuit. The above bifurcations arise because of the fact that a memristive MLC circuit is basically a nonsmooth system by virtue of having a memristive element as its nonlinearity. The switching and modulating properties of the memristor which we have considered endow the circuit with two d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01167","kind":"arxiv","version":1},"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":"2026-05-18T00:46:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XraQ1woSQWoaH3MBoGcetQfeVEiv2Bjcg8GyaLFPCSIzhaam+E2gBaUcEQzUfeA0NIc4jBK7DTnNMw2ssBRWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T11:36:02.256619Z"},"content_sha256":"d1cf2f9adcfa00d4cc649f79faf09c8f2fc35171759c129a0010b36e86189cae","schema_version":"1.0","event_id":"sha256:d1cf2f9adcfa00d4cc649f79faf09c8f2fc35171759c129a0010b36e86189cae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS/bundle.json","state_url":"https://pith.science/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS/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":"2026-06-20T11:36:02Z","links":{"resolver":"https://pith.science/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS","bundle":"https://pith.science/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS/bundle.json","state":"https://pith.science/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z3HTK2DRHRDNZCHRWGAGWGVOVS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Z3HTK2DRHRDNZCHRWGAGWGVOVS","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":"cf02464e7ac25d27ce1c0405264690ff9558e6df655640ce8340a4195677b8ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-04T20:06:08Z","title_canon_sha256":"94a105bdf27d011f72b83363ae5cf0a51e4f003cab83b590569783f13afd5dce"},"schema_version":"1.0","source":{"id":"1704.01167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.01167","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"arxiv_version","alias_value":"1704.01167v1","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.01167","created_at":"2026-05-18T00:46:46Z"},{"alias_kind":"pith_short_12","alias_value":"Z3HTK2DRHRDN","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z3HTK2DRHRDNZCHR","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z3HTK2DR","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:d1cf2f9adcfa00d4cc649f79faf09c8f2fc35171759c129a0010b36e86189cae","target":"graph","created_at":"2026-05-18T00:46:46Z","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":"We report using Clarke's concept of generalised differential and a modification of Floquet theory to non-smooth oscillations, the occurrence of discontinuity induced Hopf bifurcations and Neimark-Sacker bifurcations leading to quasiperiodic attractors in a memristive Murali-Lakshmanan-Chua (memristive MLC) circuit. The above bifurcations arise because of the fact that a memristive MLC circuit is basically a nonsmooth system by virtue of having a memristive element as its nonlinearity. The switching and modulating properties of the memristor which we have considered endow the circuit with two d","authors_text":"A. Ishaq Ahamed, M. Lakshmanan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-04T20:06:08Z","title":"Discontinuity Induced Hopf and Neimark-Sacker Bifurcations in a Memristive Murali-Lakshmanan-Chua Circuit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.01167","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":"sha256:6b126e82b23615b2545b6fe6a36fc9d0e985a3f21d278f68c8a8d6ebebbb82b2","target":"record","created_at":"2026-05-18T00:46:46Z","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":"cf02464e7ac25d27ce1c0405264690ff9558e6df655640ce8340a4195677b8ab","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-04T20:06:08Z","title_canon_sha256":"94a105bdf27d011f72b83363ae5cf0a51e4f003cab83b590569783f13afd5dce"},"schema_version":"1.0","source":{"id":"1704.01167","kind":"arxiv","version":1}},"canonical_sha256":"cecf3568713c46dc88f1b1806b1aaeac9e0b565526cdf1fd83b5396e541d91a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cecf3568713c46dc88f1b1806b1aaeac9e0b565526cdf1fd83b5396e541d91a3","first_computed_at":"2026-05-18T00:46:46.041959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:46:46.041959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BZuNAhYr+mnynTZ1cclLj+1TONhideS6OG0QNr8I3vyJr62ro11tYl2+91l9NN42wLXFZp4XSw+BFn1tzcJDAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:46:46.042715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.01167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b126e82b23615b2545b6fe6a36fc9d0e985a3f21d278f68c8a8d6ebebbb82b2","sha256:d1cf2f9adcfa00d4cc649f79faf09c8f2fc35171759c129a0010b36e86189cae"],"state_sha256":"e77431dbe58b4367b4b5c2078a93c4b347e7b317bd3bddae45eced4cb59e25c1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YXzqPLZDmIbbZmkTu5h+TN29Q2U7s5b/CCDqBXqw+HJpVvIJkGz66O4ZNV2WPPu1d8/Mc2MrfyRIgRtSFhZ6Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T11:36:02.258536Z","bundle_sha256":"06714d2684588983fd68b5045d5ea51ffbbe968468adf622ef24ea8036eef4f6"}}