{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:3HUOKJ4ZJV43GZOVT4JEO3OHIA","short_pith_number":"pith:3HUOKJ4Z","canonical_record":{"source":{"id":"1303.1035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-05T13:50:29Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"ed94f3c3efc9909735ca7c04dd9062b4cb05239f5c66d228dfcabf63933331ba","abstract_canon_sha256":"dabd6afbaeb18c4e2014cb0d95dc5c0283e734a0d3e32a637890107a9e892fe6"},"schema_version":"1.0"},"canonical_sha256":"d9e8e527994d79b365d59f12476dc7402277d0834b42ba1c3693c6f082796bf5","source":{"kind":"arxiv","id":"1303.1035","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1035","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1035v1","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1035","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"3HUOKJ4ZJV43","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3HUOKJ4ZJV43GZOV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3HUOKJ4Z","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:3HUOKJ4ZJV43GZOVT4JEO3OHIA","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1035","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-05T13:50:29Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"ed94f3c3efc9909735ca7c04dd9062b4cb05239f5c66d228dfcabf63933331ba","abstract_canon_sha256":"dabd6afbaeb18c4e2014cb0d95dc5c0283e734a0d3e32a637890107a9e892fe6"},"schema_version":"1.0"},"canonical_sha256":"d9e8e527994d79b365d59f12476dc7402277d0834b42ba1c3693c6f082796bf5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:49.141260Z","signature_b64":"00sWFVezzMxUuZCKa5y6Ao6GDfwlK6ao2AMDD/UHbnF7nHAeejAaVT85PAhCrVA0xg/lj7xy+tgpaDPb0MbvDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9e8e527994d79b365d59f12476dc7402277d0834b42ba1c3693c6f082796bf5","last_reissued_at":"2026-05-18T01:22:49.140795Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:49.140795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1035","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":"2026-05-18T01:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbnuBYUWQnth5yE+n7OxW+2ietmIgzsyurXKIARBUGtxlW1xn0pCu9Off209E0OG/7E89LUjwIWYYAZvklf8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:54:28.961722Z"},"content_sha256":"cf749740d841e2045a4a5303f90fd0c3934e77788a096eba69a71617fe19dbd2","schema_version":"1.0","event_id":"sha256:cf749740d841e2045a4a5303f90fd0c3934e77788a096eba69a71617fe19dbd2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:3HUOKJ4ZJV43GZOVT4JEO3OHIA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.NA","authors_text":"Kazuki Maeda, Satoshi Tsujimoto","submitted_at":"2013-03-05T13:50:29Z","abstract_excerpt":"A generalized eigenvalue algorithm for tridiagonal matrix pencils is presented. The algorithm appears as the time evolution equation of a nonautonomous discrete integrable system associated with a polynomial sequence which has some orthogonality on the support set of the zeros of the characteristic polynomial for a tridiagonal matrix pencil. The convergence of the algorithm is discussed by using the solution to the initial value problem for the corresponding discrete integrable system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1035","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":"2026-05-18T01:22:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNyXL2ZjORvsMjl1mFUoj/AgxMZWaJXOwgQ3EYuyQ9TAd7rRXYUOg61mDWxWCyPs4ywz43gbBGr55oankygHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:54:28.962064Z"},"content_sha256":"7b46106a1e5376d08567bc4d47feea48ea875cb574ccde9b8b1edc29b7a8e55f","schema_version":"1.0","event_id":"sha256:7b46106a1e5376d08567bc4d47feea48ea875cb574ccde9b8b1edc29b7a8e55f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA/bundle.json","state_url":"https://pith.science/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA/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":"2026-06-04T04:54:28Z","links":{"resolver":"https://pith.science/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA","bundle":"https://pith.science/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA/bundle.json","state":"https://pith.science/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3HUOKJ4ZJV43GZOVT4JEO3OHIA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3HUOKJ4ZJV43GZOVT4JEO3OHIA","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":"dabd6afbaeb18c4e2014cb0d95dc5c0283e734a0d3e32a637890107a9e892fe6","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-05T13:50:29Z","title_canon_sha256":"ed94f3c3efc9909735ca7c04dd9062b4cb05239f5c66d228dfcabf63933331ba"},"schema_version":"1.0","source":{"id":"1303.1035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1035","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1035v1","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1035","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"3HUOKJ4ZJV43","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3HUOKJ4ZJV43GZOV","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3HUOKJ4Z","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:7b46106a1e5376d08567bc4d47feea48ea875cb574ccde9b8b1edc29b7a8e55f","target":"graph","created_at":"2026-05-18T01:22:49Z","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":"A generalized eigenvalue algorithm for tridiagonal matrix pencils is presented. The algorithm appears as the time evolution equation of a nonautonomous discrete integrable system associated with a polynomial sequence which has some orthogonality on the support set of the zeros of the characteristic polynomial for a tridiagonal matrix pencil. The convergence of the algorithm is discussed by using the solution to the initial value problem for the corresponding discrete integrable system.","authors_text":"Kazuki Maeda, Satoshi Tsujimoto","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-05T13:50:29Z","title":"A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1035","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:cf749740d841e2045a4a5303f90fd0c3934e77788a096eba69a71617fe19dbd2","target":"record","created_at":"2026-05-18T01:22:49Z","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":"dabd6afbaeb18c4e2014cb0d95dc5c0283e734a0d3e32a637890107a9e892fe6","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2013-03-05T13:50:29Z","title_canon_sha256":"ed94f3c3efc9909735ca7c04dd9062b4cb05239f5c66d228dfcabf63933331ba"},"schema_version":"1.0","source":{"id":"1303.1035","kind":"arxiv","version":1}},"canonical_sha256":"d9e8e527994d79b365d59f12476dc7402277d0834b42ba1c3693c6f082796bf5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9e8e527994d79b365d59f12476dc7402277d0834b42ba1c3693c6f082796bf5","first_computed_at":"2026-05-18T01:22:49.140795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:49.140795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"00sWFVezzMxUuZCKa5y6Ao6GDfwlK6ao2AMDD/UHbnF7nHAeejAaVT85PAhCrVA0xg/lj7xy+tgpaDPb0MbvDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:49.141260Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf749740d841e2045a4a5303f90fd0c3934e77788a096eba69a71617fe19dbd2","sha256:7b46106a1e5376d08567bc4d47feea48ea875cb574ccde9b8b1edc29b7a8e55f"],"state_sha256":"a5ddf533b7b8b92b2bf18f3ee50731f915f1bef316494a48ce9f365c3d7dbb25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NAW5R4kNycZjeYV/gjDhnqRpr6BGJ6wn3fI4MhJxIM6BHL9K5L+uCBCkMXnDKZogF9rS/6AXx28CTqytukD7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:54:28.964074Z","bundle_sha256":"a285e0f232abca20cb1dbfd6a31d12ed3d781a8fd89a156ae47faf604d2f8176"}}