{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:EWI47D6HMQS54YJ3UGPDCJCJ2T","short_pith_number":"pith:EWI47D6H","canonical_record":{"source":{"id":"1811.06829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-11-16T14:58:22Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"2b25bd489fe6d11d7c9800d053ebae7af436ea29100511e0c3b4fb98f031200d","abstract_canon_sha256":"da4b88670c4877df967e2d829efa706e8b0f4e98b69bccefe354f9b423c5edcc"},"schema_version":"1.0"},"canonical_sha256":"2591cf8fc76425de613ba19e312449d4ceab95ef8c671eda1b5e1936fed121fb","source":{"kind":"arxiv","id":"1811.06829","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06829","created_at":"2026-05-18T00:00:17Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06829v1","created_at":"2026-05-18T00:00:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06829","created_at":"2026-05-18T00:00:17Z"},{"alias_kind":"pith_short_12","alias_value":"EWI47D6HMQS5","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EWI47D6HMQS54YJ3","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EWI47D6H","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:EWI47D6HMQS54YJ3UGPDCJCJ2T","target":"record","payload":{"canonical_record":{"source":{"id":"1811.06829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-11-16T14:58:22Z","cross_cats_sorted":["cs.IT","math.IT"],"title_canon_sha256":"2b25bd489fe6d11d7c9800d053ebae7af436ea29100511e0c3b4fb98f031200d","abstract_canon_sha256":"da4b88670c4877df967e2d829efa706e8b0f4e98b69bccefe354f9b423c5edcc"},"schema_version":"1.0"},"canonical_sha256":"2591cf8fc76425de613ba19e312449d4ceab95ef8c671eda1b5e1936fed121fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:17.493839Z","signature_b64":"BHjEzZpHtkOOJEW09tOnVZqdJNFw0+lb1sOhCMik86tP7Q0NdJxkFT/LLIRW8eAIkJ+WpGzI2NK6ba/cx67jDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2591cf8fc76425de613ba19e312449d4ceab95ef8c671eda1b5e1936fed121fb","last_reissued_at":"2026-05-18T00:00:17.493278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:17.493278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.06829","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":"2026-05-18T00:00:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T3WxPOF7LCPK1M3sUy4718dFDA/i+DvaTYSY43SyisTaln1OAsN5ON2souta1+IgNoKBN8JnI8RZE/H0k2IIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T07:08:11.983987Z"},"content_sha256":"d2081e4438890c85d13edc3b16cc52b5064de0497f76f1ba3c4bd595e75fa3ba","schema_version":"1.0","event_id":"sha256:d2081e4438890c85d13edc3b16cc52b5064de0497f76f1ba3c4bd595e75fa3ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:EWI47D6HMQS54YJ3UGPDCJCJ2T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimal linear codes in odd characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.IT"],"primary_cat":"math.CO","authors_text":"Daniele Bartoli, Matteo Bonini","submitted_at":"2018-11-16T14:58:22Z","abstract_excerpt":"In this paper we generalize constructions in two recent works of Ding, Heng, Zhou to any field $\\mathbb{F}_q$, $q$ odd, providing infinite families of minimal codes for which the Ashikhmin-Barg bound does not hold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06829","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":"2026-05-18T00:00:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UtwvMLnaEhVbCcMLKLCNaO9H2TvXOl/G6FMYhnZrquaL053SNjpdt3+ZI3a5NBa0+Mvz8HZNz9J67QE1MhY4Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T07:08:11.984339Z"},"content_sha256":"267300fb630750b4461fab06fd7f650746774b1d4179111f8fbf1d77b999fe44","schema_version":"1.0","event_id":"sha256:267300fb630750b4461fab06fd7f650746774b1d4179111f8fbf1d77b999fe44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T/bundle.json","state_url":"https://pith.science/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T/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":"2026-06-20T07:08:11Z","links":{"resolver":"https://pith.science/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T","bundle":"https://pith.science/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T/bundle.json","state":"https://pith.science/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EWI47D6HMQS54YJ3UGPDCJCJ2T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:EWI47D6HMQS54YJ3UGPDCJCJ2T","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":"da4b88670c4877df967e2d829efa706e8b0f4e98b69bccefe354f9b423c5edcc","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-11-16T14:58:22Z","title_canon_sha256":"2b25bd489fe6d11d7c9800d053ebae7af436ea29100511e0c3b4fb98f031200d"},"schema_version":"1.0","source":{"id":"1811.06829","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.06829","created_at":"2026-05-18T00:00:17Z"},{"alias_kind":"arxiv_version","alias_value":"1811.06829v1","created_at":"2026-05-18T00:00:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06829","created_at":"2026-05-18T00:00:17Z"},{"alias_kind":"pith_short_12","alias_value":"EWI47D6HMQS5","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"EWI47D6HMQS54YJ3","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"EWI47D6H","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:267300fb630750b4461fab06fd7f650746774b1d4179111f8fbf1d77b999fe44","target":"graph","created_at":"2026-05-18T00:00:17Z","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 paper we generalize constructions in two recent works of Ding, Heng, Zhou to any field $\\mathbb{F}_q$, $q$ odd, providing infinite families of minimal codes for which the Ashikhmin-Barg bound does not hold.","authors_text":"Daniele Bartoli, Matteo Bonini","cross_cats":["cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-11-16T14:58:22Z","title":"Minimal linear codes in odd characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06829","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:d2081e4438890c85d13edc3b16cc52b5064de0497f76f1ba3c4bd595e75fa3ba","target":"record","created_at":"2026-05-18T00:00:17Z","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":"da4b88670c4877df967e2d829efa706e8b0f4e98b69bccefe354f9b423c5edcc","cross_cats_sorted":["cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-11-16T14:58:22Z","title_canon_sha256":"2b25bd489fe6d11d7c9800d053ebae7af436ea29100511e0c3b4fb98f031200d"},"schema_version":"1.0","source":{"id":"1811.06829","kind":"arxiv","version":1}},"canonical_sha256":"2591cf8fc76425de613ba19e312449d4ceab95ef8c671eda1b5e1936fed121fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2591cf8fc76425de613ba19e312449d4ceab95ef8c671eda1b5e1936fed121fb","first_computed_at":"2026-05-18T00:00:17.493278Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:17.493278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BHjEzZpHtkOOJEW09tOnVZqdJNFw0+lb1sOhCMik86tP7Q0NdJxkFT/LLIRW8eAIkJ+WpGzI2NK6ba/cx67jDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:17.493839Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.06829","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2081e4438890c85d13edc3b16cc52b5064de0497f76f1ba3c4bd595e75fa3ba","sha256:267300fb630750b4461fab06fd7f650746774b1d4179111f8fbf1d77b999fe44"],"state_sha256":"532f2fe7c7fe127366c4a40c5708987e14ede46b250e3eb7c4ec7e4165bc9d9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mQJ/ro1I7JZ5wNPZGRz+N6YyklRbAVuuWGI67C3vMZso3KHRele07xNuha38r8ozEvFGZSvlLG+g8MifTw3OAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T07:08:11.986486Z","bundle_sha256":"965465b2f1e8e2e3eaf0d77948e24e5e94a12d6f5e6dac410fae528f5ba0a826"}}