{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UYASUNUQ5RFZP2J24UQ3KQ67LQ","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":"6a17fc29ae8d9ace99db70701a2d9bdf79c239376cecc102daf11abd5b87f5e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-07-04T07:44:30Z","title_canon_sha256":"edbdfd2b085fc325c10d912f131a6bc3de28b40ae5746661fbfd76c2bdab8102"},"schema_version":"1.0","source":{"id":"1707.00837","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.00837","created_at":"2026-05-18T00:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1707.00837v1","created_at":"2026-05-18T00:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.00837","created_at":"2026-05-18T00:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"UYASUNUQ5RFZ","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"UYASUNUQ5RFZP2J2","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"UYASUNUQ","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:c9756bf1fceb09c46c28f746056b4193e445722ff922a06dc3b4cd61c8119650","target":"graph","created_at":"2026-05-18T00:40:56Z","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 article we use linear algebra to improve the computational time for the obtaining of Green's functions of linear differential equations with reflection (DER). This is achieved by decomposing both the `reduced' equation (the ODE associated to a given DER) and the corresponding two-point boundary conditions.","authors_text":"F. Adri\\'an F. Tojo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-07-04T07:44:30Z","title":"Computation of Green's functions through algebraic decomposition of operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.00837","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:e6204fc4e9da210ef9c0ddadbdb27192a2465783e592250497278a2de4b80ac9","target":"record","created_at":"2026-05-18T00:40:56Z","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":"6a17fc29ae8d9ace99db70701a2d9bdf79c239376cecc102daf11abd5b87f5e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2017-07-04T07:44:30Z","title_canon_sha256":"edbdfd2b085fc325c10d912f131a6bc3de28b40ae5746661fbfd76c2bdab8102"},"schema_version":"1.0","source":{"id":"1707.00837","kind":"arxiv","version":1}},"canonical_sha256":"a6012a3690ec4b97e93ae521b543df5c3d1838dee64d21afd94ca0bd794d948e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6012a3690ec4b97e93ae521b543df5c3d1838dee64d21afd94ca0bd794d948e","first_computed_at":"2026-05-18T00:40:56.869676Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:56.869676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oj/6avDkz8n2xCnzgvFGiqtmbs5tAgZfIiU/89TjKkpgtQF7425v2F3Y1MNoCJpB2zh4H22OTu8zwFVYnV6bBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:56.870223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.00837","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6204fc4e9da210ef9c0ddadbdb27192a2465783e592250497278a2de4b80ac9","sha256:c9756bf1fceb09c46c28f746056b4193e445722ff922a06dc3b4cd61c8119650"],"state_sha256":"297dfc4110f8d44aaed75f49276372d48835db2f22720225e03ea1ccfd590b12"}