{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:P37DXTAAG4RCOWPX23SNH7K6IL","short_pith_number":"pith:P37DXTAA","canonical_record":{"source":{"id":"1804.02577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-07T17:13:17Z","cross_cats_sorted":[],"title_canon_sha256":"d64d3d1b874cb7780071b8f2a84f000c8821cd0fc7a19bf3b1e74e84d7639b39","abstract_canon_sha256":"d12d80902ca27bbafc9b9e3099093f05017413afc3e8e20bfe85903ce9a6d82e"},"schema_version":"1.0"},"canonical_sha256":"7efe3bcc0037222759f7d6e4d3fd5e42f604330a6ccdde396383b0889755b867","source":{"kind":"arxiv","id":"1804.02577","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02577","created_at":"2026-05-18T00:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02577v1","created_at":"2026-05-18T00:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02577","created_at":"2026-05-18T00:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"P37DXTAAG4RC","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P37DXTAAG4RCOWPX","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P37DXTAA","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:P37DXTAAG4RCOWPX23SNH7K6IL","target":"record","payload":{"canonical_record":{"source":{"id":"1804.02577","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-07T17:13:17Z","cross_cats_sorted":[],"title_canon_sha256":"d64d3d1b874cb7780071b8f2a84f000c8821cd0fc7a19bf3b1e74e84d7639b39","abstract_canon_sha256":"d12d80902ca27bbafc9b9e3099093f05017413afc3e8e20bfe85903ce9a6d82e"},"schema_version":"1.0"},"canonical_sha256":"7efe3bcc0037222759f7d6e4d3fd5e42f604330a6ccdde396383b0889755b867","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:59.054360Z","signature_b64":"YItFjjZDpu9G1nlHI11tnfToO2FJnMWcSsRhOYw7qSxeiMY4zuhRp4oaMi/mayoW43xr1gdKsn7wB8pV1k/9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7efe3bcc0037222759f7d6e4d3fd5e42f604330a6ccdde396383b0889755b867","last_reissued_at":"2026-05-18T00:18:59.053767Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:59.053767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.02577","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":"2026-05-18T00:18:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"atohKLS/t5eNtHvqojQrrC/kk/mRpVxvf8A9YY0Eql+jtRjrkPpOhhUMrFFeG6nwKSW6OZL5JhBzJ2XlCJPqAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:38:12.445089Z"},"content_sha256":"a280c897bb0125ec62a874ea35e113f4f0dc5ca81900f84077ca15fbfbae6c0c","schema_version":"1.0","event_id":"sha256:a280c897bb0125ec62a874ea35e113f4f0dc5ca81900f84077ca15fbfbae6c0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:P37DXTAAG4RCOWPX23SNH7K6IL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Blender-horseshoes in center-unstable H\\'enon-like families","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Lorenzo J. D\\'iaz, Sebasti\\'an A. P\\'erez","submitted_at":"2018-04-07T17:13:17Z","abstract_excerpt":"A blender-horseshoe is a locally maximal transitive hyperbolic set that appears in dimension at least three carrying a distinctive geometrical property: its local stable manifold \"behaves\" as a manifold of topological dimension greater than the expected one (the dimension of the stable bundle). This property persists under perturbations turning this kind of dynamics an important piece in the global description of robust non-hyperbolic systems. In this paper, we consider a parameterized family of center-unstable H\\'enon-like of endomorphisms in dimension three and show how blender-horseshoes na"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02577","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":"2026-05-18T00:18:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvXHjU22xdtoW0DSoiOJGC9qvEUeiNZ7+7sUqLfytde+xE1xd/n3Q4nIHaikBDNVksFZSPdu5JPp43MB5RaKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:38:12.445455Z"},"content_sha256":"b1fbb9cf42587ca5735bc52b0aabfb455c787b148dbf69c183b6c28f66bbe891","schema_version":"1.0","event_id":"sha256:b1fbb9cf42587ca5735bc52b0aabfb455c787b148dbf69c183b6c28f66bbe891"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P37DXTAAG4RCOWPX23SNH7K6IL/bundle.json","state_url":"https://pith.science/pith/P37DXTAAG4RCOWPX23SNH7K6IL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P37DXTAAG4RCOWPX23SNH7K6IL/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":"2026-05-27T20:38:12Z","links":{"resolver":"https://pith.science/pith/P37DXTAAG4RCOWPX23SNH7K6IL","bundle":"https://pith.science/pith/P37DXTAAG4RCOWPX23SNH7K6IL/bundle.json","state":"https://pith.science/pith/P37DXTAAG4RCOWPX23SNH7K6IL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P37DXTAAG4RCOWPX23SNH7K6IL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:P37DXTAAG4RCOWPX23SNH7K6IL","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":"d12d80902ca27bbafc9b9e3099093f05017413afc3e8e20bfe85903ce9a6d82e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-07T17:13:17Z","title_canon_sha256":"d64d3d1b874cb7780071b8f2a84f000c8821cd0fc7a19bf3b1e74e84d7639b39"},"schema_version":"1.0","source":{"id":"1804.02577","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02577","created_at":"2026-05-18T00:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02577v1","created_at":"2026-05-18T00:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02577","created_at":"2026-05-18T00:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"P37DXTAAG4RC","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"P37DXTAAG4RCOWPX","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"P37DXTAA","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:b1fbb9cf42587ca5735bc52b0aabfb455c787b148dbf69c183b6c28f66bbe891","target":"graph","created_at":"2026-05-18T00:18:59Z","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 blender-horseshoe is a locally maximal transitive hyperbolic set that appears in dimension at least three carrying a distinctive geometrical property: its local stable manifold \"behaves\" as a manifold of topological dimension greater than the expected one (the dimension of the stable bundle). This property persists under perturbations turning this kind of dynamics an important piece in the global description of robust non-hyperbolic systems. In this paper, we consider a parameterized family of center-unstable H\\'enon-like of endomorphisms in dimension three and show how blender-horseshoes na","authors_text":"Lorenzo J. D\\'iaz, Sebasti\\'an A. P\\'erez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-07T17:13:17Z","title":"Blender-horseshoes in center-unstable H\\'enon-like families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02577","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:a280c897bb0125ec62a874ea35e113f4f0dc5ca81900f84077ca15fbfbae6c0c","target":"record","created_at":"2026-05-18T00:18:59Z","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":"d12d80902ca27bbafc9b9e3099093f05017413afc3e8e20bfe85903ce9a6d82e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2018-04-07T17:13:17Z","title_canon_sha256":"d64d3d1b874cb7780071b8f2a84f000c8821cd0fc7a19bf3b1e74e84d7639b39"},"schema_version":"1.0","source":{"id":"1804.02577","kind":"arxiv","version":1}},"canonical_sha256":"7efe3bcc0037222759f7d6e4d3fd5e42f604330a6ccdde396383b0889755b867","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7efe3bcc0037222759f7d6e4d3fd5e42f604330a6ccdde396383b0889755b867","first_computed_at":"2026-05-18T00:18:59.053767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:59.053767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YItFjjZDpu9G1nlHI11tnfToO2FJnMWcSsRhOYw7qSxeiMY4zuhRp4oaMi/mayoW43xr1gdKsn7wB8pV1k/9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:59.054360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.02577","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a280c897bb0125ec62a874ea35e113f4f0dc5ca81900f84077ca15fbfbae6c0c","sha256:b1fbb9cf42587ca5735bc52b0aabfb455c787b148dbf69c183b6c28f66bbe891"],"state_sha256":"4cfd71ef0024b724ec2babd79908d02df6764a56fe16ce36ab8306b5f9c5b50c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SDmpipCr0jSW0EUistNqUoyxv1/bHqIS7MN1R/FLKWXQKZnXjTTw2zUjsn1fKeltkBV6Wjk83LL5V3hZLGDcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:38:12.448057Z","bundle_sha256":"355bb4afff0ed80f4e8f807379c421ed889672effa8ada7c77cc1326b78f5753"}}