{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V6EXXZ5FUNMH5AMVVNRCILHJBY","short_pith_number":"pith:V6EXXZ5F","canonical_record":{"source":{"id":"1404.0671","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-02T23:22:03Z","cross_cats_sorted":["cs.NA","math.CA","math.NA","math.RA"],"title_canon_sha256":"0129a5e6a4587eab45ded9ecbd506aceec7eb9dab684287606b1d2910e42c5b6","abstract_canon_sha256":"546ecaa655313524e2ba9fe90ee3fb62964f7fb76e6ea69487e5ac546989a415"},"schema_version":"1.0"},"canonical_sha256":"af897be7a5a3587e8195ab62242ce90e11226cb60c44506dcef6cb7596fd81f5","source":{"kind":"arxiv","id":"1404.0671","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0671","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0671v2","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0671","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"V6EXXZ5FUNMH","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"pith_short_16","alias_value":"V6EXXZ5FUNMH5AMV","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"pith_short_8","alias_value":"V6EXXZ5F","created_at":"2026-06-04T14:09:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V6EXXZ5FUNMH5AMVVNRCILHJBY","target":"record","payload":{"canonical_record":{"source":{"id":"1404.0671","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-02T23:22:03Z","cross_cats_sorted":["cs.NA","math.CA","math.NA","math.RA"],"title_canon_sha256":"0129a5e6a4587eab45ded9ecbd506aceec7eb9dab684287606b1d2910e42c5b6","abstract_canon_sha256":"546ecaa655313524e2ba9fe90ee3fb62964f7fb76e6ea69487e5ac546989a415"},"schema_version":"1.0"},"canonical_sha256":"af897be7a5a3587e8195ab62242ce90e11226cb60c44506dcef6cb7596fd81f5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T14:09:41.997798Z","signature_b64":"O27YxbtVKU71JuAWj7G1LJs6Ocj3gYa5Ba9EmRrLeGjQPncQpypwQctTqOMxcptkXk1Q2hAjyPsCNhzWdr8GDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af897be7a5a3587e8195ab62242ce90e11226cb60c44506dcef6cb7596fd81f5","last_reissued_at":"2026-06-04T14:09:41.997119Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T14:09:41.997119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.0671","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":"2026-06-04T14:09:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cvUNdFsXQfAByK7gCE3zqa/Tc+ElbSKcKA31N2oWJZxP2fqaOF8Fe4nd1y9VmJ8qxGFOmDScCgXrLL26jm5wDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T10:22:45.148615Z"},"content_sha256":"70b00b1b003d6cba6b7ef7be7dc8ea38b5babc68f48772f3315cc6720112128e","schema_version":"1.0","event_id":"sha256:70b00b1b003d6cba6b7ef7be7dc8ea38b5babc68f48772f3315cc6720112128e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V6EXXZ5FUNMH5AMVVNRCILHJBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on the Reduction Formulas for Some Systems of Linear Operator Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.CA","math.NA","math.RA"],"primary_cat":"math.SP","authors_text":"Branko Malesevic, Ivana Jovovic","submitted_at":"2014-04-02T23:22:03Z","abstract_excerpt":"We consider partial and total reduction of a nonhomogeneous linear system of the operator equations with the system matrix in the same particular form as in paper [N. Shayanfar, M. Hadizadeh 2013]. Here we present two different concepts. One is concerned with partially reduced systems obtained by using the Jordan and the rational form of the system matrix. The other one is dealing with totally reduced systems obtained by finding the adjugate matrix of the characteristic matrix of the system matrix."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0671","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1404.0671/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":"2026-06-04T14:09:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7qULubAlrctxoCd8ZVaFw/mYtsnRw/N2ccQc9Qww/zmHxpsh4Dxw8JSlO79UdzawPBbhRZQr8Rky+pelQRA5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T10:22:45.149273Z"},"content_sha256":"c1c6081b32ab1abdff2ed82db6f2c264468883c97fb38899faa5e5d5dd34bbec","schema_version":"1.0","event_id":"sha256:c1c6081b32ab1abdff2ed82db6f2c264468883c97fb38899faa5e5d5dd34bbec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY/bundle.json","state_url":"https://pith.science/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY/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":"2026-07-05T10:22:45Z","links":{"resolver":"https://pith.science/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY","bundle":"https://pith.science/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY/bundle.json","state":"https://pith.science/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V6EXXZ5FUNMH5AMVVNRCILHJBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V6EXXZ5FUNMH5AMVVNRCILHJBY","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":"546ecaa655313524e2ba9fe90ee3fb62964f7fb76e6ea69487e5ac546989a415","cross_cats_sorted":["cs.NA","math.CA","math.NA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-02T23:22:03Z","title_canon_sha256":"0129a5e6a4587eab45ded9ecbd506aceec7eb9dab684287606b1d2910e42c5b6"},"schema_version":"1.0","source":{"id":"1404.0671","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0671","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0671v2","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0671","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"V6EXXZ5FUNMH","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"pith_short_16","alias_value":"V6EXXZ5FUNMH5AMV","created_at":"2026-06-04T14:09:41Z"},{"alias_kind":"pith_short_8","alias_value":"V6EXXZ5F","created_at":"2026-06-04T14:09:41Z"}],"graph_snapshots":[{"event_id":"sha256:c1c6081b32ab1abdff2ed82db6f2c264468883c97fb38899faa5e5d5dd34bbec","target":"graph","created_at":"2026-06-04T14:09:41Z","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/1404.0671/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider partial and total reduction of a nonhomogeneous linear system of the operator equations with the system matrix in the same particular form as in paper [N. Shayanfar, M. Hadizadeh 2013]. Here we present two different concepts. One is concerned with partially reduced systems obtained by using the Jordan and the rational form of the system matrix. The other one is dealing with totally reduced systems obtained by finding the adjugate matrix of the characteristic matrix of the system matrix.","authors_text":"Branko Malesevic, Ivana Jovovic","cross_cats":["cs.NA","math.CA","math.NA","math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-02T23:22:03Z","title":"A Note on the Reduction Formulas for Some Systems of Linear Operator Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0671","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":"sha256:70b00b1b003d6cba6b7ef7be7dc8ea38b5babc68f48772f3315cc6720112128e","target":"record","created_at":"2026-06-04T14:09:41Z","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":"546ecaa655313524e2ba9fe90ee3fb62964f7fb76e6ea69487e5ac546989a415","cross_cats_sorted":["cs.NA","math.CA","math.NA","math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2014-04-02T23:22:03Z","title_canon_sha256":"0129a5e6a4587eab45ded9ecbd506aceec7eb9dab684287606b1d2910e42c5b6"},"schema_version":"1.0","source":{"id":"1404.0671","kind":"arxiv","version":2}},"canonical_sha256":"af897be7a5a3587e8195ab62242ce90e11226cb60c44506dcef6cb7596fd81f5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af897be7a5a3587e8195ab62242ce90e11226cb60c44506dcef6cb7596fd81f5","first_computed_at":"2026-06-04T14:09:41.997119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T14:09:41.997119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O27YxbtVKU71JuAWj7G1LJs6Ocj3gYa5Ba9EmRrLeGjQPncQpypwQctTqOMxcptkXk1Q2hAjyPsCNhzWdr8GDw==","signature_status":"signed_v1","signed_at":"2026-06-04T14:09:41.997798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0671","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70b00b1b003d6cba6b7ef7be7dc8ea38b5babc68f48772f3315cc6720112128e","sha256:c1c6081b32ab1abdff2ed82db6f2c264468883c97fb38899faa5e5d5dd34bbec"],"state_sha256":"729c62ed01ea96fdab70b19b0e100d9365b1315935b89a24b8d376a557915374"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDF1NBUvx6TwGTDep8s+p2q8sCmSyvdLqef4O40cPtimA6lCOjJ6viMs1GRLim8U8oKWs56qRsXbUo5QKgnXBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T10:22:45.152659Z","bundle_sha256":"e40ee50ddc09f55b36b118637f50c448db85dbfa990b09e740029d91f6960d3b"}}