{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ACUXYHSAECS6T634WEIQ6RBQWJ","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":"882b99060b99656f2e64545757af15240d358471517a1cb82fab67d1b3f51615","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-22T09:11:35Z","title_canon_sha256":"9a7db81e5acedd550596cef9c2a0e9f579b426b81b0b2fc13c7a020849ae3877"},"schema_version":"1.0","source":{"id":"1301.5116","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.5116","created_at":"2026-05-18T03:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1301.5116v1","created_at":"2026-05-18T03:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.5116","created_at":"2026-05-18T03:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"ACUXYHSAECS6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"ACUXYHSAECS6T634","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"ACUXYHSA","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:83b4a3b639e180e6cd4166ff91c001a30260af38b1b3e4f8babc51818816e6db","target":"graph","created_at":"2026-05-18T03:35:52Z","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":"Using spectral factorization techniques, a method is given by which rational matrix solutions to the Leech equation with rational matrix data can be computed explicitly. This method is based on an approach by J.A. Ball and T.T. Trent, and generalizes techniques from recent work of T.T. Trent for the case of polynomial matrix data.","authors_text":"Sanne ter Horst","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-22T09:11:35Z","title":"Rational matrix solutions to the Leech equation: The Ball-Trent approach revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.5116","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":"sha256:001965453591d714438dbe8f63fe703b877597a0d6b904495a24314aa42928a0","target":"record","created_at":"2026-05-18T03:35:52Z","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":"882b99060b99656f2e64545757af15240d358471517a1cb82fab67d1b3f51615","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-01-22T09:11:35Z","title_canon_sha256":"9a7db81e5acedd550596cef9c2a0e9f579b426b81b0b2fc13c7a020849ae3877"},"schema_version":"1.0","source":{"id":"1301.5116","kind":"arxiv","version":1}},"canonical_sha256":"00a97c1e4020a5e9fb7cb1110f4430b2490798e53fa08f578d4e2272550aa36b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00a97c1e4020a5e9fb7cb1110f4430b2490798e53fa08f578d4e2272550aa36b","first_computed_at":"2026-05-18T03:35:52.984620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:52.984620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6RxIlGy/FdG+iUMQ8ZkFgsjdvJpjq7YzFRhY2iXRKyQ2EobzlOI4CVy3BfwSMbCR+jE+j+hV/0yKXuwykJU0AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:52.985419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.5116","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:001965453591d714438dbe8f63fe703b877597a0d6b904495a24314aa42928a0","sha256:83b4a3b639e180e6cd4166ff91c001a30260af38b1b3e4f8babc51818816e6db"],"state_sha256":"364e5153a62e5abb10a2c0b4c5cc1e26aab621a224923a4098b74c091686e85c"}