{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SW6YPVETTKTJGHCKEZFP4ASMDM","short_pith_number":"pith:SW6YPVET","canonical_record":{"source":{"id":"1503.03665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-12T10:53:08Z","cross_cats_sorted":["math.CV","math.GR"],"title_canon_sha256":"98ebec9097cca2c259767f20439b53e2a726eac3a7e74660b371e6a58a565be8","abstract_canon_sha256":"ad4d2f76a24c7ea65e5e9a128eb702039e5bc47a975e0730a3f2faf7c789c17e"},"schema_version":"1.0"},"canonical_sha256":"95bd87d4939aa6931c4a264afe024c1b1254bb3080656e2dd20afed2fd73a9a1","source":{"kind":"arxiv","id":"1503.03665","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03665","created_at":"2026-05-18T02:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03665v1","created_at":"2026-05-18T02:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03665","created_at":"2026-05-18T02:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"SW6YPVETTKTJ","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SW6YPVETTKTJGHCK","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SW6YPVET","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SW6YPVETTKTJGHCKEZFP4ASMDM","target":"record","payload":{"canonical_record":{"source":{"id":"1503.03665","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-12T10:53:08Z","cross_cats_sorted":["math.CV","math.GR"],"title_canon_sha256":"98ebec9097cca2c259767f20439b53e2a726eac3a7e74660b371e6a58a565be8","abstract_canon_sha256":"ad4d2f76a24c7ea65e5e9a128eb702039e5bc47a975e0730a3f2faf7c789c17e"},"schema_version":"1.0"},"canonical_sha256":"95bd87d4939aa6931c4a264afe024c1b1254bb3080656e2dd20afed2fd73a9a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:27.687011Z","signature_b64":"pdX2rtUVTqRdUj0gd4Kmdrasvxm0++AEKeVqhu/g02jlFtS1j89thRZUevL/WPSoGzPta/IL8iUvQcPY45+JBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95bd87d4939aa6931c4a264afe024c1b1254bb3080656e2dd20afed2fd73a9a1","last_reissued_at":"2026-05-18T02:24:27.686311Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:27.686311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.03665","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":"2026-05-18T02:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Q9+OyeGiW/zbY4/FGeuHhf9Fw1wMxIkDPe00u4v7ZnV8l0nULugVbmd9EYXmR03bf3ilUP+ZGru00jwmPKkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:38:35.775997Z"},"content_sha256":"d532d26ccf7f52a292215d197dc71abe235f9fd094e8ac71f62148f1d25b3567","schema_version":"1.0","event_id":"sha256:d532d26ccf7f52a292215d197dc71abe235f9fd094e8ac71f62148f1d25b3567"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SW6YPVETTKTJGHCKEZFP4ASMDM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complex H\\'enon maps and discrete groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.GR"],"primary_cat":"math.DS","authors_text":"Raluca Tanase","submitted_at":"2015-03-12T10:53:08Z","abstract_excerpt":"Consider the standard family of complex H\\'enon maps $H(x,y) = (p(x) - ay, x)$, where $p$ is a quadratic polynomial and $a$ is a complex parameter. Let $U^{+}$ be the set of points that escape to infinity under forward iterations. The analytic structure of the escaping set $U^{+}$ is well understood from previous work of J. Hubbard and R. Oberste-Vorth as a quotient of $(\\mathbb{C}-\\overline{\\mathbb{D}}) \\times\\mathbb{C}$ by a discrete group of automorphisms $\\Gamma$ isomorphic to $\\mathbb{Z}[1/2]/\\mathbb{Z}$. On the other hand, the boundary $J^{+}$ of $U^{+}$ is a complicated fractal object o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03665","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":"2026-05-18T02:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SCXeskhwKRwj4kwJ2cvU2+QAt62sdw+OtPtWsYp88taRvJq9QuDccvCvdui4jsu71CH8YxGv5Fou7TvDPqLxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T06:38:35.776355Z"},"content_sha256":"9edc5c4bb02a9bf58fa95a72de0a7072f744b9867995c774795042fb964292e3","schema_version":"1.0","event_id":"sha256:9edc5c4bb02a9bf58fa95a72de0a7072f744b9867995c774795042fb964292e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SW6YPVETTKTJGHCKEZFP4ASMDM/bundle.json","state_url":"https://pith.science/pith/SW6YPVETTKTJGHCKEZFP4ASMDM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SW6YPVETTKTJGHCKEZFP4ASMDM/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":"2026-06-12T06:38:35Z","links":{"resolver":"https://pith.science/pith/SW6YPVETTKTJGHCKEZFP4ASMDM","bundle":"https://pith.science/pith/SW6YPVETTKTJGHCKEZFP4ASMDM/bundle.json","state":"https://pith.science/pith/SW6YPVETTKTJGHCKEZFP4ASMDM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SW6YPVETTKTJGHCKEZFP4ASMDM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SW6YPVETTKTJGHCKEZFP4ASMDM","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":"ad4d2f76a24c7ea65e5e9a128eb702039e5bc47a975e0730a3f2faf7c789c17e","cross_cats_sorted":["math.CV","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-12T10:53:08Z","title_canon_sha256":"98ebec9097cca2c259767f20439b53e2a726eac3a7e74660b371e6a58a565be8"},"schema_version":"1.0","source":{"id":"1503.03665","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.03665","created_at":"2026-05-18T02:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"1503.03665v1","created_at":"2026-05-18T02:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03665","created_at":"2026-05-18T02:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"SW6YPVETTKTJ","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SW6YPVETTKTJGHCK","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SW6YPVET","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:9edc5c4bb02a9bf58fa95a72de0a7072f744b9867995c774795042fb964292e3","target":"graph","created_at":"2026-05-18T02:24:27Z","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":"Consider the standard family of complex H\\'enon maps $H(x,y) = (p(x) - ay, x)$, where $p$ is a quadratic polynomial and $a$ is a complex parameter. Let $U^{+}$ be the set of points that escape to infinity under forward iterations. The analytic structure of the escaping set $U^{+}$ is well understood from previous work of J. Hubbard and R. Oberste-Vorth as a quotient of $(\\mathbb{C}-\\overline{\\mathbb{D}}) \\times\\mathbb{C}$ by a discrete group of automorphisms $\\Gamma$ isomorphic to $\\mathbb{Z}[1/2]/\\mathbb{Z}$. On the other hand, the boundary $J^{+}$ of $U^{+}$ is a complicated fractal object o","authors_text":"Raluca Tanase","cross_cats":["math.CV","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-12T10:53:08Z","title":"Complex H\\'enon maps and discrete groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03665","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:d532d26ccf7f52a292215d197dc71abe235f9fd094e8ac71f62148f1d25b3567","target":"record","created_at":"2026-05-18T02:24:27Z","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":"ad4d2f76a24c7ea65e5e9a128eb702039e5bc47a975e0730a3f2faf7c789c17e","cross_cats_sorted":["math.CV","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2015-03-12T10:53:08Z","title_canon_sha256":"98ebec9097cca2c259767f20439b53e2a726eac3a7e74660b371e6a58a565be8"},"schema_version":"1.0","source":{"id":"1503.03665","kind":"arxiv","version":1}},"canonical_sha256":"95bd87d4939aa6931c4a264afe024c1b1254bb3080656e2dd20afed2fd73a9a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95bd87d4939aa6931c4a264afe024c1b1254bb3080656e2dd20afed2fd73a9a1","first_computed_at":"2026-05-18T02:24:27.686311Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:27.686311Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pdX2rtUVTqRdUj0gd4Kmdrasvxm0++AEKeVqhu/g02jlFtS1j89thRZUevL/WPSoGzPta/IL8iUvQcPY45+JBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:27.687011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.03665","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d532d26ccf7f52a292215d197dc71abe235f9fd094e8ac71f62148f1d25b3567","sha256:9edc5c4bb02a9bf58fa95a72de0a7072f744b9867995c774795042fb964292e3"],"state_sha256":"6e1fcb400c8f8a6491d9324d6be49ee2447d4368cacca64acffb050c49f7c6f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DKs2H+pSC69qyM3QTgZRxMAaKHEC5pwKVXl8TJhSzr3oGqWLpuFvokgXt4OSG28bPrd+iH0wpMsbK9zzsu7KDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T06:38:35.778387Z","bundle_sha256":"78df2f4806f5d130a89a5b7ab9ad9cfdb22647dda30005d1a5d351568a74bf94"}}