{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:FFS5QVGIUXZSUZN5OKXFKTFTGR","short_pith_number":"pith:FFS5QVGI","canonical_record":{"source":{"id":"1703.04660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-14T18:47:47Z","cross_cats_sorted":[],"title_canon_sha256":"5959747d7c65d882947f60c67170f74871a1e909b8c4c2306fdd4e974df19a18","abstract_canon_sha256":"89db96061b65655bcf05c806ee3655f18a71f6439d8a6fe2cd1ce7adcc80f993"},"schema_version":"1.0"},"canonical_sha256":"2965d854c8a5f32a65bd72ae554cb3344f6aa2282be8734eda1e26d450864ae5","source":{"kind":"arxiv","id":"1703.04660","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04660","created_at":"2026-05-18T00:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04660v1","created_at":"2026-05-18T00:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04660","created_at":"2026-05-18T00:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"FFS5QVGIUXZS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FFS5QVGIUXZSUZN5","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FFS5QVGI","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:FFS5QVGIUXZSUZN5OKXFKTFTGR","target":"record","payload":{"canonical_record":{"source":{"id":"1703.04660","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-14T18:47:47Z","cross_cats_sorted":[],"title_canon_sha256":"5959747d7c65d882947f60c67170f74871a1e909b8c4c2306fdd4e974df19a18","abstract_canon_sha256":"89db96061b65655bcf05c806ee3655f18a71f6439d8a6fe2cd1ce7adcc80f993"},"schema_version":"1.0"},"canonical_sha256":"2965d854c8a5f32a65bd72ae554cb3344f6aa2282be8734eda1e26d450864ae5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:39.492551Z","signature_b64":"ky5ZqMxWrc6ejL5wQNz1hXBAq3cmGlOFfwHBl8JgdXZPJHg/Y7klFUCR64SvtvgZG3XuCzDrXdPu8Kw4LAAICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2965d854c8a5f32a65bd72ae554cb3344f6aa2282be8734eda1e26d450864ae5","last_reissued_at":"2026-05-18T00:48:39.492105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:39.492105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.04660","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":"2026-05-18T00:48:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2wpasXwNOH4Lpxq2KN3azPa/oCrOy0unAMvQqSIJ8rnXaX9oSX649nO4N2dJFpmqEJoyIUTHiNPEzGTt/VxEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:44:42.374646Z"},"content_sha256":"e79a9db2fd6fb76156703f661802d56eda233881d92d7b5ebef1d9681c3187cf","schema_version":"1.0","event_id":"sha256:e79a9db2fd6fb76156703f661802d56eda233881d92d7b5ebef1d9681c3187cf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:FFS5QVGIUXZSUZN5OKXFKTFTGR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computational intractability of attractors in the real quadratic family","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Cristobal Rojas, Michael Yampolsky","submitted_at":"2017-03-14T18:47:47Z","abstract_excerpt":"We show that there exist real quadratic maps of the interval whose attractors are computationally intractable. This is the first known class of such natural examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04660","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":"2026-05-18T00:48:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pWZqqMOJIAmvsiL5xF6F7FKyTMsyDTs3L951tT8Kh1Q/IH7SXs1+tbM1YsiwhtfIWO542ozh+yjXyPaC0137BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:44:42.375237Z"},"content_sha256":"6fbda6b42784aa64a881d892ba2fda025ca2608d134bab8065cb7fdd16eafad5","schema_version":"1.0","event_id":"sha256:6fbda6b42784aa64a881d892ba2fda025ca2608d134bab8065cb7fdd16eafad5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR/bundle.json","state_url":"https://pith.science/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR/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":"2026-05-27T14:44:42Z","links":{"resolver":"https://pith.science/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR","bundle":"https://pith.science/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR/bundle.json","state":"https://pith.science/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FFS5QVGIUXZSUZN5OKXFKTFTGR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:FFS5QVGIUXZSUZN5OKXFKTFTGR","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":"89db96061b65655bcf05c806ee3655f18a71f6439d8a6fe2cd1ce7adcc80f993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-14T18:47:47Z","title_canon_sha256":"5959747d7c65d882947f60c67170f74871a1e909b8c4c2306fdd4e974df19a18"},"schema_version":"1.0","source":{"id":"1703.04660","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.04660","created_at":"2026-05-18T00:48:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.04660v1","created_at":"2026-05-18T00:48:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.04660","created_at":"2026-05-18T00:48:39Z"},{"alias_kind":"pith_short_12","alias_value":"FFS5QVGIUXZS","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"FFS5QVGIUXZSUZN5","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"FFS5QVGI","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:6fbda6b42784aa64a881d892ba2fda025ca2608d134bab8065cb7fdd16eafad5","target":"graph","created_at":"2026-05-18T00:48:39Z","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 show that there exist real quadratic maps of the interval whose attractors are computationally intractable. This is the first known class of such natural examples.","authors_text":"Cristobal Rojas, Michael Yampolsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-14T18:47:47Z","title":"Computational intractability of attractors in the real quadratic family"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.04660","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:e79a9db2fd6fb76156703f661802d56eda233881d92d7b5ebef1d9681c3187cf","target":"record","created_at":"2026-05-18T00:48:39Z","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":"89db96061b65655bcf05c806ee3655f18a71f6439d8a6fe2cd1ce7adcc80f993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-03-14T18:47:47Z","title_canon_sha256":"5959747d7c65d882947f60c67170f74871a1e909b8c4c2306fdd4e974df19a18"},"schema_version":"1.0","source":{"id":"1703.04660","kind":"arxiv","version":1}},"canonical_sha256":"2965d854c8a5f32a65bd72ae554cb3344f6aa2282be8734eda1e26d450864ae5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2965d854c8a5f32a65bd72ae554cb3344f6aa2282be8734eda1e26d450864ae5","first_computed_at":"2026-05-18T00:48:39.492105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:39.492105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ky5ZqMxWrc6ejL5wQNz1hXBAq3cmGlOFfwHBl8JgdXZPJHg/Y7klFUCR64SvtvgZG3XuCzDrXdPu8Kw4LAAICw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:39.492551Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.04660","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e79a9db2fd6fb76156703f661802d56eda233881d92d7b5ebef1d9681c3187cf","sha256:6fbda6b42784aa64a881d892ba2fda025ca2608d134bab8065cb7fdd16eafad5"],"state_sha256":"8183f15fc1717c39c802f1dacd720e6a99d9ac4533258d7a46ac9bebd1c4d6fb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e8yWtlDQxrk2bqa6DIjy4JNCnYv44eXPEOT3hZqUpHxzJxR1QMqgUiWeI2GPlGrV36wrxb0T9cjd+GwghzTmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:44:42.378370Z","bundle_sha256":"c435b727cda57eacf9775587e52b916ad752ac0f47ceb514826a4f8b3aec65e0"}}