{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JDQF7VTO7BIGKZ4LKJ47KTBSY5","short_pith_number":"pith:JDQF7VTO","canonical_record":{"source":{"id":"1611.09107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-28T13:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"525c89966a44079fccdb54c7d2e4a1f3ecd6b6d09b979516f2db2fab49e3f614","abstract_canon_sha256":"4c7a24eee0abcd72ac01d37310b471acd9d8289c94279a75addaa18504cfb983"},"schema_version":"1.0"},"canonical_sha256":"48e05fd66ef85065678b5279f54c32c7758c36c690d74976b60cf938e5a877fa","source":{"kind":"arxiv","id":"1611.09107","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09107","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09107v2","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09107","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"JDQF7VTO7BIG","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDQF7VTO7BIGKZ4L","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDQF7VTO","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JDQF7VTO7BIGKZ4LKJ47KTBSY5","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-28T13:21:52Z","cross_cats_sorted":[],"title_canon_sha256":"525c89966a44079fccdb54c7d2e4a1f3ecd6b6d09b979516f2db2fab49e3f614","abstract_canon_sha256":"4c7a24eee0abcd72ac01d37310b471acd9d8289c94279a75addaa18504cfb983"},"schema_version":"1.0"},"canonical_sha256":"48e05fd66ef85065678b5279f54c32c7758c36c690d74976b60cf938e5a877fa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:39.827020Z","signature_b64":"RKq2v1g/nn552ZA5w/dt8m7dC9fuBiPd++p1/4VreoRZz3RxTta/rCqrpRAQFaiEualyah0jjGoDjSIEd2c/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48e05fd66ef85065678b5279f54c32c7758c36c690d74976b60cf938e5a877fa","last_reissued_at":"2026-05-18T00:38:39.826661Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:39.826661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09107","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":"2026-05-18T00:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O7FDku74ueAMQvZhByqyJok2yEz+tCtzZlrctPeVDc6lNCPVQNYh/gaSS/0aBckNCwLW0nUdWC+WoD6gkjXuBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:33:33.634542Z"},"content_sha256":"7989a5307778b630014a421c80b102006c5e74a9c339589df55a5b6cf7883ea2","schema_version":"1.0","event_id":"sha256:7989a5307778b630014a421c80b102006c5e74a9c339589df55a5b6cf7883ea2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JDQF7VTO7BIGKZ4LKJ47KTBSY5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Solution of Parameter Dependent Quasiseparable Systems and Computation of Meromorphic Matrix Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Luca Gemignani, Paola Boito, Yuli Eidelman","submitted_at":"2016-11-28T13:21:52Z","abstract_excerpt":"In this paper we focus on the solution of shifted quasiseparable systems and of more general parameter dependent matrix equations with quasiseparable representations. We propose an efficient algorithm exploiting the invariance of the quasiseparable structure under diagonal shifting and inversion. This algorithm is applied to compute various functions of matrices. Numerical experiments show that this approach is fast and numerically robust."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09107","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":"2026-05-18T00:38:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RlS4M6ET9maidRYTbVEyzDw7/OabXPMWgAubkc6Fd/TjS3QPOqp2X3gg5QCyghpKpSjr0T/48mEhUxtgVqvfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T01:33:33.634889Z"},"content_sha256":"2752083bf8ec97a0d6e52f8766d3fe8e443a4c54a191e0e5b0f9468aed8da1b0","schema_version":"1.0","event_id":"sha256:2752083bf8ec97a0d6e52f8766d3fe8e443a4c54a191e0e5b0f9468aed8da1b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5/bundle.json","state_url":"https://pith.science/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5/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":"2026-06-23T01:33:33Z","links":{"resolver":"https://pith.science/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5","bundle":"https://pith.science/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5/bundle.json","state":"https://pith.science/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JDQF7VTO7BIGKZ4LKJ47KTBSY5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JDQF7VTO7BIGKZ4LKJ47KTBSY5","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":"4c7a24eee0abcd72ac01d37310b471acd9d8289c94279a75addaa18504cfb983","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-28T13:21:52Z","title_canon_sha256":"525c89966a44079fccdb54c7d2e4a1f3ecd6b6d09b979516f2db2fab49e3f614"},"schema_version":"1.0","source":{"id":"1611.09107","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09107","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09107v2","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09107","created_at":"2026-05-18T00:38:39Z"},{"alias_kind":"pith_short_12","alias_value":"JDQF7VTO7BIG","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JDQF7VTO7BIGKZ4L","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JDQF7VTO","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:2752083bf8ec97a0d6e52f8766d3fe8e443a4c54a191e0e5b0f9468aed8da1b0","target":"graph","created_at":"2026-05-18T00:38:39Z","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":"In this paper we focus on the solution of shifted quasiseparable systems and of more general parameter dependent matrix equations with quasiseparable representations. We propose an efficient algorithm exploiting the invariance of the quasiseparable structure under diagonal shifting and inversion. This algorithm is applied to compute various functions of matrices. Numerical experiments show that this approach is fast and numerically robust.","authors_text":"Luca Gemignani, Paola Boito, Yuli Eidelman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-28T13:21:52Z","title":"Efficient Solution of Parameter Dependent Quasiseparable Systems and Computation of Meromorphic Matrix Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09107","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":"sha256:7989a5307778b630014a421c80b102006c5e74a9c339589df55a5b6cf7883ea2","target":"record","created_at":"2026-05-18T00:38:39Z","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":"4c7a24eee0abcd72ac01d37310b471acd9d8289c94279a75addaa18504cfb983","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-11-28T13:21:52Z","title_canon_sha256":"525c89966a44079fccdb54c7d2e4a1f3ecd6b6d09b979516f2db2fab49e3f614"},"schema_version":"1.0","source":{"id":"1611.09107","kind":"arxiv","version":2}},"canonical_sha256":"48e05fd66ef85065678b5279f54c32c7758c36c690d74976b60cf938e5a877fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48e05fd66ef85065678b5279f54c32c7758c36c690d74976b60cf938e5a877fa","first_computed_at":"2026-05-18T00:38:39.826661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:39.826661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RKq2v1g/nn552ZA5w/dt8m7dC9fuBiPd++p1/4VreoRZz3RxTta/rCqrpRAQFaiEualyah0jjGoDjSIEd2c/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:39.827020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09107","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7989a5307778b630014a421c80b102006c5e74a9c339589df55a5b6cf7883ea2","sha256:2752083bf8ec97a0d6e52f8766d3fe8e443a4c54a191e0e5b0f9468aed8da1b0"],"state_sha256":"21e7052f2c7aeff0d219318f3c18a781fb16f3b552aefe14828b98bedc99d7a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nGe2/svElLmoxspu1BJ2MLI1XHQb6KgpPFIjamG6q5+abQShqT37LBzGFwUaeV6/YCH7v0PJ8ZzYBd2OdqOcBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T01:33:33.636901Z","bundle_sha256":"ce100b4d2f10ce75f97711e353e3dc229dc69106b552925ae32a74494ac6b600"}}