{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IQP7NEKCRGRLPAJHPPQHMBXD5G","short_pith_number":"pith:IQP7NEKC","canonical_record":{"source":{"id":"1606.09011","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-29T09:16:40Z","cross_cats_sorted":[],"title_canon_sha256":"73d66f98fa1e268d3a1d983c35a4b08a1a0b423810361e0f60eba3c4f0737005","abstract_canon_sha256":"012f45d7266a20b8a03970ea9a44572b028dab692d5f30c67cb36c492cfb77ed"},"schema_version":"1.0"},"canonical_sha256":"441ff6914289a2b781277be07606e3e9a0b52edb507b5d9ee30905adc599c358","source":{"kind":"arxiv","id":"1606.09011","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09011","created_at":"2026-05-18T00:50:01Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09011v2","created_at":"2026-05-18T00:50:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09011","created_at":"2026-05-18T00:50:01Z"},{"alias_kind":"pith_short_12","alias_value":"IQP7NEKCRGRL","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IQP7NEKCRGRLPAJH","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IQP7NEKC","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IQP7NEKCRGRLPAJHPPQHMBXD5G","target":"record","payload":{"canonical_record":{"source":{"id":"1606.09011","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-29T09:16:40Z","cross_cats_sorted":[],"title_canon_sha256":"73d66f98fa1e268d3a1d983c35a4b08a1a0b423810361e0f60eba3c4f0737005","abstract_canon_sha256":"012f45d7266a20b8a03970ea9a44572b028dab692d5f30c67cb36c492cfb77ed"},"schema_version":"1.0"},"canonical_sha256":"441ff6914289a2b781277be07606e3e9a0b52edb507b5d9ee30905adc599c358","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:01.123115Z","signature_b64":"Ssmo07TK6nQpswSEOzegSdRIPB+gU34LcBb3r6ewnrzOh++D+Hs/uHFcXw8FnYBNQp+1+XPR62eAeXXNQoJBDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"441ff6914289a2b781277be07606e3e9a0b52edb507b5d9ee30905adc599c358","last_reissued_at":"2026-05-18T00:50:01.122365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:01.122365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.09011","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":"2026-05-18T00:50:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r1zON0E44aanV22QsTO94bro4EUexOlbowr60DEfzTCMPcmWDmj0OHU86LtNs7UMnIkv7PKymmE+1jl+tItoCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:33:08.829565Z"},"content_sha256":"02ae9a9cc6a7dad1d1a764a3db7ee812e97bb54f7ea48ffccc713bcb049880a3","schema_version":"1.0","event_id":"sha256:02ae9a9cc6a7dad1d1a764a3db7ee812e97bb54f7ea48ffccc713bcb049880a3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IQP7NEKCRGRLPAJHPPQHMBXD5G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Ivan Ovsyannikov, Marina Gonchenko, Sergey V. Gonchenko","submitted_at":"2016-06-29T09:16:40Z","abstract_excerpt":"We study bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps. We distinguish two types of cubic homoclinic tangencies, and each type gives different first return maps derived to diverse conservative cubic H\\'enon maps with quite different bifurcation diagrams. In this way, we establish the structure of bifurcations of periodic orbits in two parameter general unfoldings generalizing to the conservative case the results previously obtained for the dissipative case. We also consider the problem of 1:4 resonance for the conservative cubic H\\'enon maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09011","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":"2026-05-18T00:50:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n/GDY52F7aMNYoUZ8T9o1OFhyOUZsM/lDrZsIyx9GInY9uaCjkvr+D9VX/D/deMl84a7hrWs3UhEuJfMMn1EDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:33:08.829896Z"},"content_sha256":"4477d2e5f8deeccb244bf37f57496886ff180501b5475ca55428ad967bdf3dd6","schema_version":"1.0","event_id":"sha256:4477d2e5f8deeccb244bf37f57496886ff180501b5475ca55428ad967bdf3dd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G/bundle.json","state_url":"https://pith.science/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G/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":"2026-06-02T08:33:08Z","links":{"resolver":"https://pith.science/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G","bundle":"https://pith.science/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G/bundle.json","state":"https://pith.science/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IQP7NEKCRGRLPAJHPPQHMBXD5G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IQP7NEKCRGRLPAJHPPQHMBXD5G","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":"012f45d7266a20b8a03970ea9a44572b028dab692d5f30c67cb36c492cfb77ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-29T09:16:40Z","title_canon_sha256":"73d66f98fa1e268d3a1d983c35a4b08a1a0b423810361e0f60eba3c4f0737005"},"schema_version":"1.0","source":{"id":"1606.09011","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.09011","created_at":"2026-05-18T00:50:01Z"},{"alias_kind":"arxiv_version","alias_value":"1606.09011v2","created_at":"2026-05-18T00:50:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.09011","created_at":"2026-05-18T00:50:01Z"},{"alias_kind":"pith_short_12","alias_value":"IQP7NEKCRGRL","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IQP7NEKCRGRLPAJH","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IQP7NEKC","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:4477d2e5f8deeccb244bf37f57496886ff180501b5475ca55428ad967bdf3dd6","target":"graph","created_at":"2026-05-18T00:50:01Z","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 study bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps. We distinguish two types of cubic homoclinic tangencies, and each type gives different first return maps derived to diverse conservative cubic H\\'enon maps with quite different bifurcation diagrams. In this way, we establish the structure of bifurcations of periodic orbits in two parameter general unfoldings generalizing to the conservative case the results previously obtained for the dissipative case. We also consider the problem of 1:4 resonance for the conservative cubic H\\'enon maps.","authors_text":"Ivan Ovsyannikov, Marina Gonchenko, Sergey V. Gonchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-29T09:16:40Z","title":"Bifurcations of cubic homoclinic tangencies in two-dimensional symplectic maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.09011","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":"sha256:02ae9a9cc6a7dad1d1a764a3db7ee812e97bb54f7ea48ffccc713bcb049880a3","target":"record","created_at":"2026-05-18T00:50:01Z","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":"012f45d7266a20b8a03970ea9a44572b028dab692d5f30c67cb36c492cfb77ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-06-29T09:16:40Z","title_canon_sha256":"73d66f98fa1e268d3a1d983c35a4b08a1a0b423810361e0f60eba3c4f0737005"},"schema_version":"1.0","source":{"id":"1606.09011","kind":"arxiv","version":2}},"canonical_sha256":"441ff6914289a2b781277be07606e3e9a0b52edb507b5d9ee30905adc599c358","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"441ff6914289a2b781277be07606e3e9a0b52edb507b5d9ee30905adc599c358","first_computed_at":"2026-05-18T00:50:01.122365Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:01.122365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ssmo07TK6nQpswSEOzegSdRIPB+gU34LcBb3r6ewnrzOh++D+Hs/uHFcXw8FnYBNQp+1+XPR62eAeXXNQoJBDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:01.123115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.09011","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02ae9a9cc6a7dad1d1a764a3db7ee812e97bb54f7ea48ffccc713bcb049880a3","sha256:4477d2e5f8deeccb244bf37f57496886ff180501b5475ca55428ad967bdf3dd6"],"state_sha256":"0c66c18c7aa13fd5736a112cabe4c9cddc01a73f00ada6b254edf67d0e847bfa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eMyKh8EMAxSunmYKXe5AuVPzlDVOOVlWdp3JScy80LE4xlQBwezQisdfxgcxcMedycEiD3xqK4dXJqiJgs8hAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:33:08.831734Z","bundle_sha256":"390515463a52596437a93e30bf32b0cbe702543c021509f8518bf360cc5fc3c9"}}