{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:AUCLI26AZO7FC4PAJRMYN7BFWB","short_pith_number":"pith:AUCLI26A","canonical_record":{"source":{"id":"1902.09736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-26T05:15:48Z","cross_cats_sorted":[],"title_canon_sha256":"c97f7e3afc2e05b87f67144cee736088aaed6143605a2ba4343f7fa9b4bd8d19","abstract_canon_sha256":"c039d09a9004ad361a25fba0660de02df1c161870750217d72268972431197bd"},"schema_version":"1.0"},"canonical_sha256":"0504b46bc0cbbe5171e04c5986fc25b043ca6ac263b41c483478667b97b681d7","source":{"kind":"arxiv","id":"1902.09736","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09736","created_at":"2026-05-17T23:45:29Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09736v1","created_at":"2026-05-17T23:45:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09736","created_at":"2026-05-17T23:45:29Z"},{"alias_kind":"pith_short_12","alias_value":"AUCLI26AZO7F","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AUCLI26AZO7FC4PA","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AUCLI26A","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:AUCLI26AZO7FC4PAJRMYN7BFWB","target":"record","payload":{"canonical_record":{"source":{"id":"1902.09736","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-26T05:15:48Z","cross_cats_sorted":[],"title_canon_sha256":"c97f7e3afc2e05b87f67144cee736088aaed6143605a2ba4343f7fa9b4bd8d19","abstract_canon_sha256":"c039d09a9004ad361a25fba0660de02df1c161870750217d72268972431197bd"},"schema_version":"1.0"},"canonical_sha256":"0504b46bc0cbbe5171e04c5986fc25b043ca6ac263b41c483478667b97b681d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:29.562551Z","signature_b64":"amPPiUrD5gjb0ZUtqVd8tbML5SOTSbaaJQqmcTs6zNCgQ+UYbEhVYGlGNyUa9DMNcIKVGi+ISj34PHPdQMnEAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0504b46bc0cbbe5171e04c5986fc25b043ca6ac263b41c483478667b97b681d7","last_reissued_at":"2026-05-17T23:45:29.561931Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:29.561931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.09736","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":"2026-05-17T23:45:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lCnIFuWt0jzVPXw5XD0wYXt1kJiricToDgmtk9M4dC2EGwVhttoQTVqU2VnCVO3CMA5VTtXMgGDEGaHbDXFNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:03:13.421293Z"},"content_sha256":"09cc3e75b7b9cf87591b27010a73c1c1a74e7d06de9b38931d88d201c2baf9b4","schema_version":"1.0","event_id":"sha256:09cc3e75b7b9cf87591b27010a73c1c1a74e7d06de9b38931d88d201c2baf9b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:AUCLI26AZO7FC4PAJRMYN7BFWB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Novel Numerical Algorithm with Fourth-Order Accuracy for the Direct Zakharov-Shabat Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Igor Chekhovskoy, Irina Vaseva, Mikhail Fedoruk, Sergey Medvedev","submitted_at":"2019-02-26T05:15:48Z","abstract_excerpt":"We propose a new high-precision algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and is a generalization of the second order Boffetta-Osborne scheme. It is allowed by our method to solve more effectively the Zakharov-Shabat spectral problem for continuous and discrete spectra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09736","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":"2026-05-17T23:45:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mD8IGtHBL5FKgYV0Qc8SIpjsaXdeLhtF7gwK2RLorwAaqPXDWumfOBo5iy/l9dKW7jHSqhNUZ6xT4ox3cIwXCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:03:13.421964Z"},"content_sha256":"45878fddd9527f738ec43623ef7974b32a090057322a5cfbee76957c201d1ce1","schema_version":"1.0","event_id":"sha256:45878fddd9527f738ec43623ef7974b32a090057322a5cfbee76957c201d1ce1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUCLI26AZO7FC4PAJRMYN7BFWB/bundle.json","state_url":"https://pith.science/pith/AUCLI26AZO7FC4PAJRMYN7BFWB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUCLI26AZO7FC4PAJRMYN7BFWB/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":"2026-05-26T23:03:13Z","links":{"resolver":"https://pith.science/pith/AUCLI26AZO7FC4PAJRMYN7BFWB","bundle":"https://pith.science/pith/AUCLI26AZO7FC4PAJRMYN7BFWB/bundle.json","state":"https://pith.science/pith/AUCLI26AZO7FC4PAJRMYN7BFWB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUCLI26AZO7FC4PAJRMYN7BFWB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AUCLI26AZO7FC4PAJRMYN7BFWB","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":"c039d09a9004ad361a25fba0660de02df1c161870750217d72268972431197bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-26T05:15:48Z","title_canon_sha256":"c97f7e3afc2e05b87f67144cee736088aaed6143605a2ba4343f7fa9b4bd8d19"},"schema_version":"1.0","source":{"id":"1902.09736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09736","created_at":"2026-05-17T23:45:29Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09736v1","created_at":"2026-05-17T23:45:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09736","created_at":"2026-05-17T23:45:29Z"},{"alias_kind":"pith_short_12","alias_value":"AUCLI26AZO7F","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"AUCLI26AZO7FC4PA","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"AUCLI26A","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:45878fddd9527f738ec43623ef7974b32a090057322a5cfbee76957c201d1ce1","target":"graph","created_at":"2026-05-17T23:45:29Z","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 propose a new high-precision algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and is a generalization of the second order Boffetta-Osborne scheme. It is allowed by our method to solve more effectively the Zakharov-Shabat spectral problem for continuous and discrete spectra.","authors_text":"Igor Chekhovskoy, Irina Vaseva, Mikhail Fedoruk, Sergey Medvedev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-26T05:15:48Z","title":"Novel Numerical Algorithm with Fourth-Order Accuracy for the Direct Zakharov-Shabat Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09736","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":"sha256:09cc3e75b7b9cf87591b27010a73c1c1a74e7d06de9b38931d88d201c2baf9b4","target":"record","created_at":"2026-05-17T23:45:29Z","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":"c039d09a9004ad361a25fba0660de02df1c161870750217d72268972431197bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-02-26T05:15:48Z","title_canon_sha256":"c97f7e3afc2e05b87f67144cee736088aaed6143605a2ba4343f7fa9b4bd8d19"},"schema_version":"1.0","source":{"id":"1902.09736","kind":"arxiv","version":1}},"canonical_sha256":"0504b46bc0cbbe5171e04c5986fc25b043ca6ac263b41c483478667b97b681d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0504b46bc0cbbe5171e04c5986fc25b043ca6ac263b41c483478667b97b681d7","first_computed_at":"2026-05-17T23:45:29.561931Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:29.561931Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"amPPiUrD5gjb0ZUtqVd8tbML5SOTSbaaJQqmcTs6zNCgQ+UYbEhVYGlGNyUa9DMNcIKVGi+ISj34PHPdQMnEAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:29.562551Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09cc3e75b7b9cf87591b27010a73c1c1a74e7d06de9b38931d88d201c2baf9b4","sha256:45878fddd9527f738ec43623ef7974b32a090057322a5cfbee76957c201d1ce1"],"state_sha256":"0f7661bb8747bcfe1c41070d9d24d73218ff3cececebb4c8e020457984ab3700"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65wElGHLXoCdmbMjuNTYL6eThS1yn1QnxlsJFHzS64k6Fi12DW6ajIGVTnBYbxcBwhEW7PPzRGlNo1e2KngMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:03:13.425237Z","bundle_sha256":"d944da11d2dc7cde57a5cbe1aa28596f6cc49237d16ee383119d6e78a3f714fe"}}