{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GXUJEC5RSCM5GFY35P3WO25UDF","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":"9fc64717d3af0f57edd7b4bde61f3474991d953f40b00190e171112aafa08a37","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-07-21T15:47:53Z","title_canon_sha256":"e1abf86649171af1f8cce6d9c5825a26ad5dd3e2ac259fa8708c8c057a3706c3"},"schema_version":"1.0","source":{"id":"1607.06370","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06370","created_at":"2026-05-18T01:10:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06370v1","created_at":"2026-05-18T01:10:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06370","created_at":"2026-05-18T01:10:41Z"},{"alias_kind":"pith_short_12","alias_value":"GXUJEC5RSCM5","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GXUJEC5RSCM5GFY3","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GXUJEC5R","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:8d9fb97f9f3d45f06b9f30c12ebcc61e775be65f9985c42a953a953e4313f5a4","target":"graph","created_at":"2026-05-18T01:10:41Z","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"},"paper":{"abstract_excerpt":"If the inverse of a nonsingular polynomial matrix $L$ has a polynomial part then one can associate with $L$ a module over the ring of proper rational functions, which is related to the structure of $L$ at infinity. In this paper we characterize homomorphisms of such modules.","authors_text":"Harald K. Wimmer, Pudji Astuti","cross_cats":["math.AC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-07-21T15:47:53Z","title":"Homomorphisms of modules associated with polynomial matrices with infinite elementary divisors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06370","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:d51c833f51ef15d042cc0bcc0778d647e6fcca28eaf6f2d0f1c695a5d49e87fe","target":"record","created_at":"2026-05-18T01:10:41Z","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":"9fc64717d3af0f57edd7b4bde61f3474991d953f40b00190e171112aafa08a37","cross_cats_sorted":["math.AC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2016-07-21T15:47:53Z","title_canon_sha256":"e1abf86649171af1f8cce6d9c5825a26ad5dd3e2ac259fa8708c8c057a3706c3"},"schema_version":"1.0","source":{"id":"1607.06370","kind":"arxiv","version":1}},"canonical_sha256":"35e8920bb19099d3171bebf7676bb4197dae4e5e91e2204a5c0de4ece36b75e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35e8920bb19099d3171bebf7676bb4197dae4e5e91e2204a5c0de4ece36b75e2","first_computed_at":"2026-05-18T01:10:41.950030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:41.950030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UyH2hLm+qvZGosXjSBbsBqX6YswlxuG9ZnwW806x/55UJ45Ggvyoe6tHgLUzmPJIw5SFIZF2L/euY2Xb1kPtAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:41.950501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06370","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d51c833f51ef15d042cc0bcc0778d647e6fcca28eaf6f2d0f1c695a5d49e87fe","sha256:8d9fb97f9f3d45f06b9f30c12ebcc61e775be65f9985c42a953a953e4313f5a4"],"state_sha256":"460c0a85ee240e28b0e71433f55e7049024aec68d2a64bad8463c5a182dfb662"}