{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:Q4Q4AQ6YY6HAUXP4RUA4KIFWSP","short_pith_number":"pith:Q4Q4AQ6Y","canonical_record":{"source":{"id":"1501.01368","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-07T05:08:13Z","cross_cats_sorted":[],"title_canon_sha256":"d3cbe092240544b68865a153e91bebac2e929b81ebaf0386b937f08d3df80328","abstract_canon_sha256":"4fd602aee8ff7219bf51a12697ac31b687639a85ec78a0a4e514894455ec8e1d"},"schema_version":"1.0"},"canonical_sha256":"8721c043d8c78e0a5dfc8d01c520b693ed7f5083a2f5a0b0451dc08722d0697d","source":{"kind":"arxiv","id":"1501.01368","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01368","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01368v4","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01368","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"Q4Q4AQ6YY6HA","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q4Q4AQ6YY6HAUXP4","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q4Q4AQ6Y","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:Q4Q4AQ6YY6HAUXP4RUA4KIFWSP","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01368","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-07T05:08:13Z","cross_cats_sorted":[],"title_canon_sha256":"d3cbe092240544b68865a153e91bebac2e929b81ebaf0386b937f08d3df80328","abstract_canon_sha256":"4fd602aee8ff7219bf51a12697ac31b687639a85ec78a0a4e514894455ec8e1d"},"schema_version":"1.0"},"canonical_sha256":"8721c043d8c78e0a5dfc8d01c520b693ed7f5083a2f5a0b0451dc08722d0697d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:49.543288Z","signature_b64":"cCJ4vht0CwrxQof6PENUxfs8E/9/E/KMQAz7GrimgUejSLtLsxK1THQ3PxTthVtqwuLdYBWQ/KNsY7jApyHCDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8721c043d8c78e0a5dfc8d01c520b693ed7f5083a2f5a0b0451dc08722d0697d","last_reissued_at":"2026-05-18T00:20:49.542762Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:49.542762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01368","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m8cBwf1yFrC3aBoHPeO/TIeTYA0HcIGH5CG/nOMeAw76t0YHWkKylP+rvgjGXi54GAb216o2+YRPOz/JWzlADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:42:33.479673Z"},"content_sha256":"44fba33dcc9f491bc91e1f0f6bf6a4a1308c742b92aef81e2596f69c2414b1cd","schema_version":"1.0","event_id":"sha256:44fba33dcc9f491bc91e1f0f6bf6a4a1308c742b92aef81e2596f69c2414b1cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:Q4Q4AQ6YY6HAUXP4RUA4KIFWSP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On parameter loci of the H\\'enon family","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Yutaka Ishii, Zin Arai","submitted_at":"2015-01-07T05:08:13Z","abstract_excerpt":"The purpose of the current article is to investigate the dynamics of the H\\'enon family $f_{a, b} : (x, y) \\mapsto (x^2-a-by, x)$, where $(a, b)\\in \\mathbb{R}\\times\\mathbb{R}^{\\times}$ is the parameter~\\cite{H}. We are interested in certain geometric and topological structures of two loci of parameters $(a, b)\\in\\mathbb{R}\\times\\mathbb{R}^{\\times}$ for which $f_{a, b}$ share common dynamical properties; one is the \\textit{hyperbolic horseshoe locus} where the restriction of $f_{a, b}$ to its non-wandering set is hyperbolic and topologically conjugate to the full shift with two symbols, and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01368","kind":"arxiv","version":4},"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":"2026-05-18T00:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ov91KBUa5PBw5C3okInoEQONMfkhz4iRUDQMKy/WFUFABnBapgnMyKWsvkldb1qZ6xaCbWuDBvpe+Da8DoNwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:42:33.480024Z"},"content_sha256":"7a81f4c604904d61fea3c5215f4cfbeb4344417599638275f9a844678d3474bd","schema_version":"1.0","event_id":"sha256:7a81f4c604904d61fea3c5215f4cfbeb4344417599638275f9a844678d3474bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP/bundle.json","state_url":"https://pith.science/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP/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":"2026-06-30T23:42:33Z","links":{"resolver":"https://pith.science/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP","bundle":"https://pith.science/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP/bundle.json","state":"https://pith.science/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4Q4AQ6YY6HAUXP4RUA4KIFWSP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:Q4Q4AQ6YY6HAUXP4RUA4KIFWSP","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":"4fd602aee8ff7219bf51a12697ac31b687639a85ec78a0a4e514894455ec8e1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-07T05:08:13Z","title_canon_sha256":"d3cbe092240544b68865a153e91bebac2e929b81ebaf0386b937f08d3df80328"},"schema_version":"1.0","source":{"id":"1501.01368","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01368","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01368v4","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01368","created_at":"2026-05-18T00:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"Q4Q4AQ6YY6HA","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"Q4Q4AQ6YY6HAUXP4","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"Q4Q4AQ6Y","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:7a81f4c604904d61fea3c5215f4cfbeb4344417599638275f9a844678d3474bd","target":"graph","created_at":"2026-05-18T00:20:49Z","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":"The purpose of the current article is to investigate the dynamics of the H\\'enon family $f_{a, b} : (x, y) \\mapsto (x^2-a-by, x)$, where $(a, b)\\in \\mathbb{R}\\times\\mathbb{R}^{\\times}$ is the parameter~\\cite{H}. We are interested in certain geometric and topological structures of two loci of parameters $(a, b)\\in\\mathbb{R}\\times\\mathbb{R}^{\\times}$ for which $f_{a, b}$ share common dynamical properties; one is the \\textit{hyperbolic horseshoe locus} where the restriction of $f_{a, b}$ to its non-wandering set is hyperbolic and topologically conjugate to the full shift with two symbols, and the","authors_text":"Yutaka Ishii, Zin Arai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-07T05:08:13Z","title":"On parameter loci of the H\\'enon family"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01368","kind":"arxiv","version":4},"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":"sha256:44fba33dcc9f491bc91e1f0f6bf6a4a1308c742b92aef81e2596f69c2414b1cd","target":"record","created_at":"2026-05-18T00:20:49Z","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":"4fd602aee8ff7219bf51a12697ac31b687639a85ec78a0a4e514894455ec8e1d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-01-07T05:08:13Z","title_canon_sha256":"d3cbe092240544b68865a153e91bebac2e929b81ebaf0386b937f08d3df80328"},"schema_version":"1.0","source":{"id":"1501.01368","kind":"arxiv","version":4}},"canonical_sha256":"8721c043d8c78e0a5dfc8d01c520b693ed7f5083a2f5a0b0451dc08722d0697d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8721c043d8c78e0a5dfc8d01c520b693ed7f5083a2f5a0b0451dc08722d0697d","first_computed_at":"2026-05-18T00:20:49.542762Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:49.542762Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cCJ4vht0CwrxQof6PENUxfs8E/9/E/KMQAz7GrimgUejSLtLsxK1THQ3PxTthVtqwuLdYBWQ/KNsY7jApyHCDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:49.543288Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01368","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:44fba33dcc9f491bc91e1f0f6bf6a4a1308c742b92aef81e2596f69c2414b1cd","sha256:7a81f4c604904d61fea3c5215f4cfbeb4344417599638275f9a844678d3474bd"],"state_sha256":"2aea4695d41355fef52cb4875295b540a57cdce1c65e57d8f2c1c3f52d56f3e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WVR5ovxrXG6x170TO6MpW5WerRZKFsccWyu6CwscpmPHCKk6baSYh+GxX2b4Ekwm9XToISD6NPQ2JNZcrD/zBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T23:42:33.481998Z","bundle_sha256":"db1a7357965a7c40fe5a51412cc2f6d7db4562c2035178b3e4390178a7827a10"}}