{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:27S7GL623KYDSRVW7Y2PL4NWLO","short_pith_number":"pith:27S7GL62","canonical_record":{"source":{"id":"1710.07634","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2017-10-22T00:31:53Z","cross_cats_sorted":["cs.NA","physics.app-ph"],"title_canon_sha256":"37ac83f8b047203dbca2619ef298a8eb40fdfbcc4690c86e31d4609776903a6c","abstract_canon_sha256":"311bf04752ffbc291f918761bb5e62bb6b35528ad6d80a79a59472b61530254d"},"schema_version":"1.0"},"canonical_sha256":"d7e5f32fdadab03946b6fe34f5f1b65b85d232ad6c5d7cf4e95fbc59f2fa5390","source":{"kind":"arxiv","id":"1710.07634","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07634","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07634v6","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07634","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"pith_short_12","alias_value":"27S7GL623KYD","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"pith_short_16","alias_value":"27S7GL623KYDSRVW","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"pith_short_8","alias_value":"27S7GL62","created_at":"2026-07-05T08:11:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:27S7GL623KYDSRVW7Y2PL4NWLO","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07634","kind":"arxiv","version":6},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2017-10-22T00:31:53Z","cross_cats_sorted":["cs.NA","physics.app-ph"],"title_canon_sha256":"37ac83f8b047203dbca2619ef298a8eb40fdfbcc4690c86e31d4609776903a6c","abstract_canon_sha256":"311bf04752ffbc291f918761bb5e62bb6b35528ad6d80a79a59472b61530254d"},"schema_version":"1.0"},"canonical_sha256":"d7e5f32fdadab03946b6fe34f5f1b65b85d232ad6c5d7cf4e95fbc59f2fa5390","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:11:17.903354Z","signature_b64":"zZPYathIlDIUTKwAyqTcl+whBg7Ah1qVjpiyVw/ZYTJIrpKAr+6SZspUFV3F2vaQypx9++Rvdj/RY/qIZoFtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7e5f32fdadab03946b6fe34f5f1b65b85d232ad6c5d7cf4e95fbc59f2fa5390","last_reissued_at":"2026-07-05T08:11:17.902854Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:11:17.902854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07634","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:11:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9FTNUZAWEDGYejVejDpksMUg9HebIdZjHnWKerl0MTtzuO3mDYcvPMKE9PCgl/alD7BZFgAhWRTiqY4RoaGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:57:22.203077Z"},"content_sha256":"f58c08ee46e0fd9c005c709b618505b59f49f0cf7920470bd0bed91efe1c4a13","schema_version":"1.0","event_id":"sha256:f58c08ee46e0fd9c005c709b618505b59f49f0cf7920470bd0bed91efe1c4a13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:27S7GL623KYDSRVW7Y2PL4NWLO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fractional Newton-Raphson Method","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.NA","physics.app-ph"],"primary_cat":"math.NA","authors_text":"A. Torres-Hernandez, F. Brambila-Paz","submitted_at":"2017-10-22T00:31:53Z","abstract_excerpt":"The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, which has the ability to enter the space of complex numbers given a real initial condition, which allows us to find both the real and complex roots of a polynomial unlike the classical Newton-Raphson m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07634","kind":"arxiv","version":6},"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/1710.07634/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":"2026-07-05T08:11:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8hhKi0NYpYDnkc/L58slhK9hIGHPPINWz64/Rin9PClE2uTKspgDIfctH4JUMhG9nTWK3SS89uSu/6GQWRnUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:57:22.203606Z"},"content_sha256":"3515aae22cd0822c40b4b8a92d4063d0f2002309871eb3c0a639244f0576af48","schema_version":"1.0","event_id":"sha256:3515aae22cd0822c40b4b8a92d4063d0f2002309871eb3c0a639244f0576af48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27S7GL623KYDSRVW7Y2PL4NWLO/bundle.json","state_url":"https://pith.science/pith/27S7GL623KYDSRVW7Y2PL4NWLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27S7GL623KYDSRVW7Y2PL4NWLO/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":"2026-08-16T10:57:22Z","links":{"resolver":"https://pith.science/pith/27S7GL623KYDSRVW7Y2PL4NWLO","bundle":"https://pith.science/pith/27S7GL623KYDSRVW7Y2PL4NWLO/bundle.json","state":"https://pith.science/pith/27S7GL623KYDSRVW7Y2PL4NWLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27S7GL623KYDSRVW7Y2PL4NWLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:27S7GL623KYDSRVW7Y2PL4NWLO","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":"311bf04752ffbc291f918761bb5e62bb6b35528ad6d80a79a59472b61530254d","cross_cats_sorted":["cs.NA","physics.app-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2017-10-22T00:31:53Z","title_canon_sha256":"37ac83f8b047203dbca2619ef298a8eb40fdfbcc4690c86e31d4609776903a6c"},"schema_version":"1.0","source":{"id":"1710.07634","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07634","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07634v6","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07634","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"pith_short_12","alias_value":"27S7GL623KYD","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"pith_short_16","alias_value":"27S7GL623KYDSRVW","created_at":"2026-07-05T08:11:17Z"},{"alias_kind":"pith_short_8","alias_value":"27S7GL62","created_at":"2026-07-05T08:11:17Z"}],"graph_snapshots":[{"event_id":"sha256:3515aae22cd0822c40b4b8a92d4063d0f2002309871eb3c0a639244f0576af48","target":"graph","created_at":"2026-07-05T08:11:17Z","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/1710.07634/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Newton-Raphson (N-R) method is useful to find the roots of a polynomial of degree n. However, this method is limited since it diverges for the case in which polynomials only have complex roots if a real initial condition is taken. In the present work, we explain an iterative method that is created using the fractional calculus, which we will call the Fractional Newton-Raphson (F N-R) Method, which has the ability to enter the space of complex numbers given a real initial condition, which allows us to find both the real and complex roots of a polynomial unlike the classical Newton-Raphson m","authors_text":"A. Torres-Hernandez, F. Brambila-Paz","cross_cats":["cs.NA","physics.app-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2017-10-22T00:31:53Z","title":"Fractional Newton-Raphson Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07634","kind":"arxiv","version":6},"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:f58c08ee46e0fd9c005c709b618505b59f49f0cf7920470bd0bed91efe1c4a13","target":"record","created_at":"2026-07-05T08:11:17Z","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":"311bf04752ffbc291f918761bb5e62bb6b35528ad6d80a79a59472b61530254d","cross_cats_sorted":["cs.NA","physics.app-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.NA","submitted_at":"2017-10-22T00:31:53Z","title_canon_sha256":"37ac83f8b047203dbca2619ef298a8eb40fdfbcc4690c86e31d4609776903a6c"},"schema_version":"1.0","source":{"id":"1710.07634","kind":"arxiv","version":6}},"canonical_sha256":"d7e5f32fdadab03946b6fe34f5f1b65b85d232ad6c5d7cf4e95fbc59f2fa5390","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7e5f32fdadab03946b6fe34f5f1b65b85d232ad6c5d7cf4e95fbc59f2fa5390","first_computed_at":"2026-07-05T08:11:17.902854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:11:17.902854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zZPYathIlDIUTKwAyqTcl+whBg7Ah1qVjpiyVw/ZYTJIrpKAr+6SZspUFV3F2vaQypx9++Rvdj/RY/qIZoFtBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:11:17.903354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07634","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f58c08ee46e0fd9c005c709b618505b59f49f0cf7920470bd0bed91efe1c4a13","sha256:3515aae22cd0822c40b4b8a92d4063d0f2002309871eb3c0a639244f0576af48"],"state_sha256":"293ed647dad25d974940fdcb55579e01799a534a47648e1423ecdc32dc5bd269"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VW5V2N1nfDJEc8Hr/KfWrxv1MzuaQzY1tesBFTr6GbUI17CclCAgNa+4axRJngtuMuXfGeDahkUOoa80nCIGCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T10:57:22.207947Z","bundle_sha256":"e5c7bf419c3f5f2438c1b66cc2bee5952c62c0f4fc82aadd8c96752668b089c7"}}