{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:MBNQMUAX2YNJI4F6DLQTORSWVM","short_pith_number":"pith:MBNQMUAX","canonical_record":{"source":{"id":"1903.01832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-05T14:10:56Z","cross_cats_sorted":[],"title_canon_sha256":"1fc6d38b362e9bc9056234d627a83a0627093b071dcda31167cae53e2e813aca","abstract_canon_sha256":"5ef90ffdf496bc036ebb89a65da7e3d4d038510e7f64e1dcf0be4cfe643e75d2"},"schema_version":"1.0"},"canonical_sha256":"605b065017d61a9470be1ae1374656ab277d450fb405469b934232d5c2d9ce65","source":{"kind":"arxiv","id":"1903.01832","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01832","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01832v1","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01832","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"MBNQMUAX2YNJ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MBNQMUAX2YNJI4F6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MBNQMUAX","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:MBNQMUAX2YNJI4F6DLQTORSWVM","target":"record","payload":{"canonical_record":{"source":{"id":"1903.01832","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-05T14:10:56Z","cross_cats_sorted":[],"title_canon_sha256":"1fc6d38b362e9bc9056234d627a83a0627093b071dcda31167cae53e2e813aca","abstract_canon_sha256":"5ef90ffdf496bc036ebb89a65da7e3d4d038510e7f64e1dcf0be4cfe643e75d2"},"schema_version":"1.0"},"canonical_sha256":"605b065017d61a9470be1ae1374656ab277d450fb405469b934232d5c2d9ce65","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:59.647350Z","signature_b64":"GdCLf6iz1RDU7bh8V/zPU6btgWZcT7mn5kiVlDkF73ScAAn3LrAg+uLNaa30NsGG91/iqMnO+TnL081CAZZcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"605b065017d61a9470be1ae1374656ab277d450fb405469b934232d5c2d9ce65","last_reissued_at":"2026-05-17T23:51:59.646831Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:59.646831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.01832","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:51:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"auJQCTKZEic9094r3+n8jtEVOGE5eyP0jfmjhoc7RwNRRtasae+vKDy8Plz/gJvjiMp+MSrPUvOUy/N4mGktCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:18:22.493294Z"},"content_sha256":"4ab9a39cdd62c2afe40e1788a4e58bc43082c9063b55b8089659da62e9212ea0","schema_version":"1.0","event_id":"sha256:4ab9a39cdd62c2afe40e1788a4e58bc43082c9063b55b8089659da62e9212ea0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:MBNQMUAX2YNJI4F6DLQTORSWVM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-orthogonal codes from equitable partitions of association schemes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Andrea Svob, Dean Crnkovic, Sanja Rukavina","submitted_at":"2019-03-05T14:10:56Z","abstract_excerpt":"We give a method of constructing self-orthogonal codes from equitable partitions of association schemes. By applying this method we construct self-orthogonal codes from some distance-regular graphs. Some of the obtained codes are optimal. Further, we introduce a notion of self-orthogonal subspace codes. We show that under some conditions equitable partitions of association schemes yield such self-orthogonal subspace codes and we give some examples from distance-regular graphs."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01832","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-17T23:51:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NfdgVg2pjn3ZSgk0emoL7yavhDW3dXOaI9KJumsoWQaZVDPDPjpwmreS7nsDYjUm3rxx/ivtkDBvmnHjSAcsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:18:22.494025Z"},"content_sha256":"327a5d3ee4603dc024c00db2b17dad63a983d9971899c7c28a008d8c93b45262","schema_version":"1.0","event_id":"sha256:327a5d3ee4603dc024c00db2b17dad63a983d9971899c7c28a008d8c93b45262"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MBNQMUAX2YNJI4F6DLQTORSWVM/bundle.json","state_url":"https://pith.science/pith/MBNQMUAX2YNJI4F6DLQTORSWVM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MBNQMUAX2YNJI4F6DLQTORSWVM/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":"2026-06-06T23:18:22Z","links":{"resolver":"https://pith.science/pith/MBNQMUAX2YNJI4F6DLQTORSWVM","bundle":"https://pith.science/pith/MBNQMUAX2YNJI4F6DLQTORSWVM/bundle.json","state":"https://pith.science/pith/MBNQMUAX2YNJI4F6DLQTORSWVM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MBNQMUAX2YNJI4F6DLQTORSWVM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MBNQMUAX2YNJI4F6DLQTORSWVM","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":"5ef90ffdf496bc036ebb89a65da7e3d4d038510e7f64e1dcf0be4cfe643e75d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-05T14:10:56Z","title_canon_sha256":"1fc6d38b362e9bc9056234d627a83a0627093b071dcda31167cae53e2e813aca"},"schema_version":"1.0","source":{"id":"1903.01832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01832","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01832v1","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01832","created_at":"2026-05-17T23:51:59Z"},{"alias_kind":"pith_short_12","alias_value":"MBNQMUAX2YNJ","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"MBNQMUAX2YNJI4F6","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"MBNQMUAX","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:327a5d3ee4603dc024c00db2b17dad63a983d9971899c7c28a008d8c93b45262","target":"graph","created_at":"2026-05-17T23:51:59Z","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":"We give a method of constructing self-orthogonal codes from equitable partitions of association schemes. By applying this method we construct self-orthogonal codes from some distance-regular graphs. Some of the obtained codes are optimal. Further, we introduce a notion of self-orthogonal subspace codes. We show that under some conditions equitable partitions of association schemes yield such self-orthogonal subspace codes and we give some examples from distance-regular graphs.","authors_text":"Andrea Svob, Dean Crnkovic, Sanja Rukavina","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-05T14:10:56Z","title":"Self-orthogonal codes from equitable partitions of association schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01832","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":"sha256:4ab9a39cdd62c2afe40e1788a4e58bc43082c9063b55b8089659da62e9212ea0","target":"record","created_at":"2026-05-17T23:51:59Z","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":"5ef90ffdf496bc036ebb89a65da7e3d4d038510e7f64e1dcf0be4cfe643e75d2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2019-03-05T14:10:56Z","title_canon_sha256":"1fc6d38b362e9bc9056234d627a83a0627093b071dcda31167cae53e2e813aca"},"schema_version":"1.0","source":{"id":"1903.01832","kind":"arxiv","version":1}},"canonical_sha256":"605b065017d61a9470be1ae1374656ab277d450fb405469b934232d5c2d9ce65","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"605b065017d61a9470be1ae1374656ab277d450fb405469b934232d5c2d9ce65","first_computed_at":"2026-05-17T23:51:59.646831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:59.646831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GdCLf6iz1RDU7bh8V/zPU6btgWZcT7mn5kiVlDkF73ScAAn3LrAg+uLNaa30NsGG91/iqMnO+TnL081CAZZcBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:59.647350Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ab9a39cdd62c2afe40e1788a4e58bc43082c9063b55b8089659da62e9212ea0","sha256:327a5d3ee4603dc024c00db2b17dad63a983d9971899c7c28a008d8c93b45262"],"state_sha256":"b91e9305b1f3a3459effa5cdaee05553624949bd2c3c6b6c7c16c7ac9f549e60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+wgZMQlbZ8DKkQdVPr3G1wEXIjV+FKrHOY2niMwA5N/6RmSGXEUEAuZacavN+1XtnI7sAFGEds6zjsGrntvJCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:18:22.498191Z","bundle_sha256":"6255eecb491d3ab1fec776adf94ef7e4744b048bb6fc19bbbb41cbf3bd08975f"}}