{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YLN2BQ6CEQ6HSI3QEKBUHVZTAG","short_pith_number":"pith:YLN2BQ6C","canonical_record":{"source":{"id":"1312.0998","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-12-04T01:20:25Z","cross_cats_sorted":[],"title_canon_sha256":"e23ab60e5fbf4adf0731c5b0338d796c974dcea194cab29c76cdc390e5eba01d","abstract_canon_sha256":"210922db5a13ddaef941928063e0c4d9f186d2bc9f2573f516b41522ac74189c"},"schema_version":"1.0"},"canonical_sha256":"c2dba0c3c2243c792370228343d7330192f722c58584ef1fecab10607a0019e1","source":{"kind":"arxiv","id":"1312.0998","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0998","created_at":"2026-05-18T00:49:35Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0998v3","created_at":"2026-05-18T00:49:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0998","created_at":"2026-05-18T00:49:35Z"},{"alias_kind":"pith_short_12","alias_value":"YLN2BQ6CEQ6H","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YLN2BQ6CEQ6HSI3Q","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YLN2BQ6C","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YLN2BQ6CEQ6HSI3QEKBUHVZTAG","target":"record","payload":{"canonical_record":{"source":{"id":"1312.0998","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-12-04T01:20:25Z","cross_cats_sorted":[],"title_canon_sha256":"e23ab60e5fbf4adf0731c5b0338d796c974dcea194cab29c76cdc390e5eba01d","abstract_canon_sha256":"210922db5a13ddaef941928063e0c4d9f186d2bc9f2573f516b41522ac74189c"},"schema_version":"1.0"},"canonical_sha256":"c2dba0c3c2243c792370228343d7330192f722c58584ef1fecab10607a0019e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:35.342255Z","signature_b64":"bl4E7SvhC7J6HWRRGlH3rfIQIRMcI5dzQkbKESii3s0NseqgDHWxZO3Q1o0oSMOThpPuHw5a+Fc4Dw+XI2NnBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c2dba0c3c2243c792370228343d7330192f722c58584ef1fecab10607a0019e1","last_reissued_at":"2026-05-18T00:49:35.341650Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:35.341650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.0998","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y3bwLbXiiY0YioZjurSUZdanJAVr5CJg5JwuSaFig1BkA9GN67G27N3WDR/WKkEXaE045aKTCwfm76gBCcnKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:12:07.284794Z"},"content_sha256":"14bfcaf6f9489dbe8fb21e69f334cadb66424bfa17544af069edf1eb8c6899bd","schema_version":"1.0","event_id":"sha256:14bfcaf6f9489dbe8fb21e69f334cadb66424bfa17544af069edf1eb8c6899bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YLN2BQ6CEQ6HSI3QEKBUHVZTAG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hyperbolic and non-hyperbolic chaos in a pair of coupled alternately excited FitzHugh-Nagumo systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Alexey Yu. Jalnine","submitted_at":"2013-12-04T01:20:25Z","abstract_excerpt":"We investigate a possibility of realization of structurally stable chaotic dynamics in neural systems. The considered model of interacting neurons consists of a pair of coupled FitzHugh-Nagumo systems, with the parameters being periodically modulated in antiphase, so that the neurons undergo alternate excitation with a successive transmission of the phase of oscillations from one neuron to another. It is shown that 4D map arising in a stroboscopic Poincare section of the model flow system possesses a hyperbolic strange attractor of the Smale-Williams type. The dynamical regime observed in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0998","kind":"arxiv","version":3},"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":"2026-05-18T00:49:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oCbUN3MmoLt7reMRujdq2zFxeKD+Rp5vfeUfx3lohN7KM6y0b6GIv2DJyTwDmYhPO12K1MFfiySYjq7l6pP5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:12:07.285258Z"},"content_sha256":"54f9343555bc2cc5175c155fe08d31d68fde75122ab2f8d5392bc9df4df3f7dd","schema_version":"1.0","event_id":"sha256:54f9343555bc2cc5175c155fe08d31d68fde75122ab2f8d5392bc9df4df3f7dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG/bundle.json","state_url":"https://pith.science/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG/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":"2026-06-23T01:12:07Z","links":{"resolver":"https://pith.science/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG","bundle":"https://pith.science/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG/bundle.json","state":"https://pith.science/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YLN2BQ6CEQ6HSI3QEKBUHVZTAG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YLN2BQ6CEQ6HSI3QEKBUHVZTAG","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":"210922db5a13ddaef941928063e0c4d9f186d2bc9f2573f516b41522ac74189c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-12-04T01:20:25Z","title_canon_sha256":"e23ab60e5fbf4adf0731c5b0338d796c974dcea194cab29c76cdc390e5eba01d"},"schema_version":"1.0","source":{"id":"1312.0998","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.0998","created_at":"2026-05-18T00:49:35Z"},{"alias_kind":"arxiv_version","alias_value":"1312.0998v3","created_at":"2026-05-18T00:49:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.0998","created_at":"2026-05-18T00:49:35Z"},{"alias_kind":"pith_short_12","alias_value":"YLN2BQ6CEQ6H","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YLN2BQ6CEQ6HSI3Q","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YLN2BQ6C","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:54f9343555bc2cc5175c155fe08d31d68fde75122ab2f8d5392bc9df4df3f7dd","target":"graph","created_at":"2026-05-18T00:49:35Z","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 investigate a possibility of realization of structurally stable chaotic dynamics in neural systems. The considered model of interacting neurons consists of a pair of coupled FitzHugh-Nagumo systems, with the parameters being periodically modulated in antiphase, so that the neurons undergo alternate excitation with a successive transmission of the phase of oscillations from one neuron to another. It is shown that 4D map arising in a stroboscopic Poincare section of the model flow system possesses a hyperbolic strange attractor of the Smale-Williams type. The dynamical regime observed in the ","authors_text":"Alexey Yu. Jalnine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-12-04T01:20:25Z","title":"Hyperbolic and non-hyperbolic chaos in a pair of coupled alternately excited FitzHugh-Nagumo systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.0998","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":"sha256:14bfcaf6f9489dbe8fb21e69f334cadb66424bfa17544af069edf1eb8c6899bd","target":"record","created_at":"2026-05-18T00:49:35Z","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":"210922db5a13ddaef941928063e0c4d9f186d2bc9f2573f516b41522ac74189c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-12-04T01:20:25Z","title_canon_sha256":"e23ab60e5fbf4adf0731c5b0338d796c974dcea194cab29c76cdc390e5eba01d"},"schema_version":"1.0","source":{"id":"1312.0998","kind":"arxiv","version":3}},"canonical_sha256":"c2dba0c3c2243c792370228343d7330192f722c58584ef1fecab10607a0019e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2dba0c3c2243c792370228343d7330192f722c58584ef1fecab10607a0019e1","first_computed_at":"2026-05-18T00:49:35.341650Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:35.341650Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bl4E7SvhC7J6HWRRGlH3rfIQIRMcI5dzQkbKESii3s0NseqgDHWxZO3Q1o0oSMOThpPuHw5a+Fc4Dw+XI2NnBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:35.342255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.0998","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14bfcaf6f9489dbe8fb21e69f334cadb66424bfa17544af069edf1eb8c6899bd","sha256:54f9343555bc2cc5175c155fe08d31d68fde75122ab2f8d5392bc9df4df3f7dd"],"state_sha256":"f84e68abc628c5684b0c638232c19a7dd4578a9a815359cfcd0e2870ed82f7c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0c8hCgsgWUm6zoMp9ONDGjpqg3+QSJ6fV+hENZWaBpgd9pRLZTuaX+UHOKx8oVB65uRmVn3/v+5RJVUimk9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T01:12:07.287871Z","bundle_sha256":"0783d68db47c8b29adae8038f949f4a69a48a4d0bc49de62a94101f08fcb05cd"}}