{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:TPXIPHHKY5ROASGT2PMSRVCDSA","short_pith_number":"pith:TPXIPHHK","canonical_record":{"source":{"id":"2312.12166","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-12-19T14:00:56Z","cross_cats_sorted":["cs.NA","math.CV","math.NA","math.OC"],"title_canon_sha256":"988347ca507f1df93b764907c6387af6d09c58bee0f1684f1217977c34b3c713","abstract_canon_sha256":"fad877eac08c8f42444eff7baccdc3ee23b631242a6a42a360c340f68a784f93"},"schema_version":"1.0"},"canonical_sha256":"9bee879ceac762e048d3d3d928d44390207ecddf2e3a32a13614e1d47d2762f9","source":{"kind":"arxiv","id":"2312.12166","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12166","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12166v1","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12166","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"pith_short_12","alias_value":"TPXIPHHKY5RO","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"TPXIPHHKY5ROASGT","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"TPXIPHHK","created_at":"2026-07-05T07:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:TPXIPHHKY5ROASGT2PMSRVCDSA","target":"record","payload":{"canonical_record":{"source":{"id":"2312.12166","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-12-19T14:00:56Z","cross_cats_sorted":["cs.NA","math.CV","math.NA","math.OC"],"title_canon_sha256":"988347ca507f1df93b764907c6387af6d09c58bee0f1684f1217977c34b3c713","abstract_canon_sha256":"fad877eac08c8f42444eff7baccdc3ee23b631242a6a42a360c340f68a784f93"},"schema_version":"1.0"},"canonical_sha256":"9bee879ceac762e048d3d3d928d44390207ecddf2e3a32a13614e1d47d2762f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:25:59.647612Z","signature_b64":"QC6ERf4B65/nrHLl8we7wn4pttSSCF5pXRDYikn29sE5F6RRelXG8j5NG3ACuSWDqiU1/OToCsXPc/jpRDDkAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bee879ceac762e048d3d3d928d44390207ecddf2e3a32a13614e1d47d2762f9","last_reissued_at":"2026-07-05T07:25:59.646983Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:25:59.646983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.12166","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":"2026-07-05T07:25:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q09xq77/NuMOXJ2qkB7TbUUMIO4PxOWeOAdrBxtd84DDQdpZdO/h36WuPmmIhtIcg6gplYUbff9JtbD1P5SiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:15:19.656042Z"},"content_sha256":"e6eb871722a813bc5a593aa55d4aabf4f9a297cc314460105708f628ddcb97c7","schema_version":"1.0","event_id":"sha256:e6eb871722a813bc5a593aa55d4aabf4f9a297cc314460105708f628ddcb97c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:TPXIPHHKY5ROASGT2PMSRVCDSA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Backtracking New Q-Newton's method, Schr\\\"oder's theorem, and Linear Conjugacy","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.NA","math.CV","math.NA","math.OC"],"primary_cat":"math.DS","authors_text":"John Erik Fornaess, Mi Hu, Takayuki Watanabe, Tuyen Trung Truong","submitted_at":"2023-12-19T14:00:56Z","abstract_excerpt":"A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental performance, was recently introduced by the third author.\n  Experiments performed previously showed some remarkable properties of the basins of attractions for finding roots of polynomials and meromorphic functions using BNQN. In particular, it seems that for finding roots of polynomials of degree 2, the basins of attraction of the dynamics for BNQN are the same as that for Newton's method (the latter is the classical Schr\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12166","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.12166/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:25:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vijX0wWMHCUqMgH5ELJLW8ze25cY+mpeySBZKuQ2kpWBFHuY43H5FvSebmuNvjHbXdhAwAWwGpMBITTWOrJiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T08:15:19.656587Z"},"content_sha256":"70f276dde90dd9ce9141ff327fdc6372fc38b509d761ef44ac93359960a89792","schema_version":"1.0","event_id":"sha256:70f276dde90dd9ce9141ff327fdc6372fc38b509d761ef44ac93359960a89792"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TPXIPHHKY5ROASGT2PMSRVCDSA/bundle.json","state_url":"https://pith.science/pith/TPXIPHHKY5ROASGT2PMSRVCDSA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TPXIPHHKY5ROASGT2PMSRVCDSA/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":"2026-08-08T08:15:19Z","links":{"resolver":"https://pith.science/pith/TPXIPHHKY5ROASGT2PMSRVCDSA","bundle":"https://pith.science/pith/TPXIPHHKY5ROASGT2PMSRVCDSA/bundle.json","state":"https://pith.science/pith/TPXIPHHKY5ROASGT2PMSRVCDSA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TPXIPHHKY5ROASGT2PMSRVCDSA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:TPXIPHHKY5ROASGT2PMSRVCDSA","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":"fad877eac08c8f42444eff7baccdc3ee23b631242a6a42a360c340f68a784f93","cross_cats_sorted":["cs.NA","math.CV","math.NA","math.OC"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-12-19T14:00:56Z","title_canon_sha256":"988347ca507f1df93b764907c6387af6d09c58bee0f1684f1217977c34b3c713"},"schema_version":"1.0","source":{"id":"2312.12166","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.12166","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"arxiv_version","alias_value":"2312.12166v1","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.12166","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"pith_short_12","alias_value":"TPXIPHHKY5RO","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"TPXIPHHKY5ROASGT","created_at":"2026-07-05T07:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"TPXIPHHK","created_at":"2026-07-05T07:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:70f276dde90dd9ce9141ff327fdc6372fc38b509d761ef44ac93359960a89792","target":"graph","created_at":"2026-07-05T07:25:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2312.12166/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A new variant of Newton's method - named Backtracking New Q-Newton's method (BNQN) - which has strong theoretical guarantee, is easy to implement, and has good experimental performance, was recently introduced by the third author.\n  Experiments performed previously showed some remarkable properties of the basins of attractions for finding roots of polynomials and meromorphic functions using BNQN. In particular, it seems that for finding roots of polynomials of degree 2, the basins of attraction of the dynamics for BNQN are the same as that for Newton's method (the latter is the classical Schr\\","authors_text":"John Erik Fornaess, Mi Hu, Takayuki Watanabe, Tuyen Trung Truong","cross_cats":["cs.NA","math.CV","math.NA","math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-12-19T14:00:56Z","title":"Backtracking New Q-Newton's method, Schr\\\"oder's theorem, and Linear Conjugacy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.12166","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:e6eb871722a813bc5a593aa55d4aabf4f9a297cc314460105708f628ddcb97c7","target":"record","created_at":"2026-07-05T07:25:59Z","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":"fad877eac08c8f42444eff7baccdc3ee23b631242a6a42a360c340f68a784f93","cross_cats_sorted":["cs.NA","math.CV","math.NA","math.OC"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DS","submitted_at":"2023-12-19T14:00:56Z","title_canon_sha256":"988347ca507f1df93b764907c6387af6d09c58bee0f1684f1217977c34b3c713"},"schema_version":"1.0","source":{"id":"2312.12166","kind":"arxiv","version":1}},"canonical_sha256":"9bee879ceac762e048d3d3d928d44390207ecddf2e3a32a13614e1d47d2762f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bee879ceac762e048d3d3d928d44390207ecddf2e3a32a13614e1d47d2762f9","first_computed_at":"2026-07-05T07:25:59.646983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:25:59.646983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QC6ERf4B65/nrHLl8we7wn4pttSSCF5pXRDYikn29sE5F6RRelXG8j5NG3ACuSWDqiU1/OToCsXPc/jpRDDkAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:25:59.647612Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.12166","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6eb871722a813bc5a593aa55d4aabf4f9a297cc314460105708f628ddcb97c7","sha256:70f276dde90dd9ce9141ff327fdc6372fc38b509d761ef44ac93359960a89792"],"state_sha256":"c11076553099448a0e6a965acea027c1084b7983a34f0f214cf446d95db349bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ImICzQ16bzqCxrB9fNxBMaMGph9CZ/rOe35T3SBeLiGspeHkOjjdWnSe5cBmAJkEEN2IItJ/fr6ilzd+p51CDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T08:15:19.661389Z","bundle_sha256":"7dda8e551844d917c179181517f4775c2c04d9a48e3327f93eeae4df68517445"}}