{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:PFPN6ZJRKNLVTEPZEXII5XUIJ4","short_pith_number":"pith:PFPN6ZJR","canonical_record":{"source":{"id":"1108.3105","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-15T21:43:14Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4ee78bec18e51964877274d0a65631b25a6a1d657c7e46bd98042e10769205e9","abstract_canon_sha256":"ba4a2b7b0f9f22f0aaf60d0af47b6f0691d854c85e1466e80c5b5496c1ba3b89"},"schema_version":"1.0"},"canonical_sha256":"795edf653153575991f925d08ede884f39970c21cb9661672bcf5d180e65f2e9","source":{"kind":"arxiv","id":"1108.3105","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3105","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3105v2","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3105","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"pith_short_12","alias_value":"PFPN6ZJRKNLV","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PFPN6ZJRKNLVTEPZ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PFPN6ZJR","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:PFPN6ZJRKNLVTEPZEXII5XUIJ4","target":"record","payload":{"canonical_record":{"source":{"id":"1108.3105","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-15T21:43:14Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"4ee78bec18e51964877274d0a65631b25a6a1d657c7e46bd98042e10769205e9","abstract_canon_sha256":"ba4a2b7b0f9f22f0aaf60d0af47b6f0691d854c85e1466e80c5b5496c1ba3b89"},"schema_version":"1.0"},"canonical_sha256":"795edf653153575991f925d08ede884f39970c21cb9661672bcf5d180e65f2e9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:53.061640Z","signature_b64":"FJfFxGjN15FJSINuNZdMjNU/Z+mM/dRx1VfPCscVZ6gKLDdDdo2kIceCch6oi6FgRQyoL7hAGRcFjaGTUzDHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"795edf653153575991f925d08ede884f39970c21cb9661672bcf5d180e65f2e9","last_reissued_at":"2026-05-18T03:26:53.061052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:53.061052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.3105","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":"2026-05-18T03:26:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqgm9L6C0AjKDTlKtuAtc6yrEv8ASTLmdMHAofZTbNqN7IDeBrMtU7vZ9Fg9vPJDAsCG1EunINrdWlZwriTYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:42:48.816234Z"},"content_sha256":"b8bacd55b363521a68652a2ee7856ea60ccd4a11281c5a75821c42ccec7231cd","schema_version":"1.0","event_id":"sha256:b8bacd55b363521a68652a2ee7856ea60ccd4a11281c5a75821c42ccec7231cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:PFPN6ZJRKNLVTEPZEXII5XUIJ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Iterated Function System Models in Data Analysis: Detection and Separation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"math.DS","authors_text":"Elizabeth Bradley, James D. Meiss, Joshua Garland, Zachary Alexander","submitted_at":"2011-08-15T21:43:14Z","abstract_excerpt":"We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps. The maps, which represent distinct dynamical regimes, may act in some pre-determined sequence or may be applied in random order. An algorithm is developed to detect the sequence of regime switches under the assumption of continuity. This method is tested on a simple IFS and applied to an experimental computer performance data set. This methodology has a wide range of potential uses:"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3105","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":"2026-05-18T03:26:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+u+d5pTETf+v1R6CYZ2ivg58E3eUWJ2Um9lDiLpOqoEiJyfpB170z/7eH5Scmfz7B2FHl6T3MKGdnEGwS0mjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T03:42:48.816596Z"},"content_sha256":"870fcdd24bd934067ee7796f48cbfbc06fa31ecba4c3b49b4244d15825488e7e","schema_version":"1.0","event_id":"sha256:870fcdd24bd934067ee7796f48cbfbc06fa31ecba4c3b49b4244d15825488e7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4/bundle.json","state_url":"https://pith.science/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4/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":"2026-06-01T03:42:48Z","links":{"resolver":"https://pith.science/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4","bundle":"https://pith.science/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4/bundle.json","state":"https://pith.science/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PFPN6ZJRKNLVTEPZEXII5XUIJ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:PFPN6ZJRKNLVTEPZEXII5XUIJ4","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":"ba4a2b7b0f9f22f0aaf60d0af47b6f0691d854c85e1466e80c5b5496c1ba3b89","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-15T21:43:14Z","title_canon_sha256":"4ee78bec18e51964877274d0a65631b25a6a1d657c7e46bd98042e10769205e9"},"schema_version":"1.0","source":{"id":"1108.3105","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.3105","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"arxiv_version","alias_value":"1108.3105v2","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.3105","created_at":"2026-05-18T03:26:53Z"},{"alias_kind":"pith_short_12","alias_value":"PFPN6ZJRKNLV","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"PFPN6ZJRKNLVTEPZ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"PFPN6ZJR","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:870fcdd24bd934067ee7796f48cbfbc06fa31ecba4c3b49b4244d15825488e7e","target":"graph","created_at":"2026-05-18T03:26:53Z","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 investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps. The maps, which represent distinct dynamical regimes, may act in some pre-determined sequence or may be applied in random order. An algorithm is developed to detect the sequence of regime switches under the assumption of continuity. This method is tested on a simple IFS and applied to an experimental computer performance data set. This methodology has a wide range of potential uses:","authors_text":"Elizabeth Bradley, James D. Meiss, Joshua Garland, Zachary Alexander","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-15T21:43:14Z","title":"Iterated Function System Models in Data Analysis: Detection and Separation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.3105","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:b8bacd55b363521a68652a2ee7856ea60ccd4a11281c5a75821c42ccec7231cd","target":"record","created_at":"2026-05-18T03:26:53Z","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":"ba4a2b7b0f9f22f0aaf60d0af47b6f0691d854c85e1466e80c5b5496c1ba3b89","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-08-15T21:43:14Z","title_canon_sha256":"4ee78bec18e51964877274d0a65631b25a6a1d657c7e46bd98042e10769205e9"},"schema_version":"1.0","source":{"id":"1108.3105","kind":"arxiv","version":2}},"canonical_sha256":"795edf653153575991f925d08ede884f39970c21cb9661672bcf5d180e65f2e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"795edf653153575991f925d08ede884f39970c21cb9661672bcf5d180e65f2e9","first_computed_at":"2026-05-18T03:26:53.061052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:53.061052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FJfFxGjN15FJSINuNZdMjNU/Z+mM/dRx1VfPCscVZ6gKLDdDdo2kIceCch6oi6FgRQyoL7hAGRcFjaGTUzDHAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:53.061640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.3105","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8bacd55b363521a68652a2ee7856ea60ccd4a11281c5a75821c42ccec7231cd","sha256:870fcdd24bd934067ee7796f48cbfbc06fa31ecba4c3b49b4244d15825488e7e"],"state_sha256":"17a5343c950eab82663312533472fd91be7d58d2c351e2b5a071b9d3dae37762"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TzNacBT+ZdMlpZZ8t3MLLeBKivSmjnwrO9iZ/aV9QyEq1aH6YOjhTkUcoUccTLRtqxuUnGW56X89beC54gY2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T03:42:48.818773Z","bundle_sha256":"763ab0f00e9403c5c8c8dce41677f512de83fc01134171b6ab28675667e3c8a4"}}