{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4PGBCGITETH25Z7XGXZBM344P6","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":"a841d151cbcc55a65189547ee057b6a41b5588c73d501963c0fe520f811c9b5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-01-28T10:59:56Z","title_canon_sha256":"3ae2ef849bae4f78d25469a96aece042efcc4c68e559dde46c3251c24cbee68d"},"schema_version":"1.0","source":{"id":"1401.7135","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7135","created_at":"2026-05-18T03:00:50Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7135v1","created_at":"2026-05-18T03:00:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7135","created_at":"2026-05-18T03:00:50Z"},{"alias_kind":"pith_short_12","alias_value":"4PGBCGITETH2","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4PGBCGITETH25Z7X","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4PGBCGIT","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:d2384d86986622ff724d552114cede180a953ca40c0223177908f42ff82518c8","target":"graph","created_at":"2026-05-18T03:00:50Z","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":"The results of [1,2] on linear homogeneous two-weight codes over finite Frobenius rings are exended in two ways: It is shown that certain non-projective two-weight codes give rise to strongly regular graphs in the way described in [1,2]. Secondly, these codes are used to define a dual two-weight code and strongly regular graph similar to the classical case of projective linear two-weight codes over finite fields [3].","authors_text":"Thomas Honold","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-01-28T10:59:56Z","title":"Further Results on Homogeneous Two-Weight Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7135","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":"sha256:69dab63fb113aa980ac72fdf842c98604a144e8dcd31c6bf84173225c8345b77","target":"record","created_at":"2026-05-18T03:00:50Z","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":"a841d151cbcc55a65189547ee057b6a41b5588c73d501963c0fe520f811c9b5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-01-28T10:59:56Z","title_canon_sha256":"3ae2ef849bae4f78d25469a96aece042efcc4c68e559dde46c3251c24cbee68d"},"schema_version":"1.0","source":{"id":"1401.7135","kind":"arxiv","version":1}},"canonical_sha256":"e3cc11191324cfaee7f735f2166f9c7f9a97b7a87fa2fab4f02429bc63f3fa57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3cc11191324cfaee7f735f2166f9c7f9a97b7a87fa2fab4f02429bc63f3fa57","first_computed_at":"2026-05-18T03:00:50.743239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:50.743239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UEPlYPR129qQw94OtCO/oeJohyBtlkZs7picaTBYXPxd7VgVxLFa7FPeY91v4LkVB1HeG6jWLKuA+kdWWTWTCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:50.743793Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7135","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69dab63fb113aa980ac72fdf842c98604a144e8dcd31c6bf84173225c8345b77","sha256:d2384d86986622ff724d552114cede180a953ca40c0223177908f42ff82518c8"],"state_sha256":"547fa7c8309932ca11f012199d45a3802cb44abfeefcb60b4e1c3583abb13ddd"}