{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2O5WGV7RVMYBRQDD74BB32QGEM","short_pith_number":"pith:2O5WGV7R","canonical_record":{"source":{"id":"1512.07341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-23T02:56:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"aa28307195fc5f5edace80057bf28d73f160a9bcf4c8064c7a4d862ee440752c","abstract_canon_sha256":"ffc70539198a90b308de3f114498e7201e564753fe79370b6077bc1af89831a6"},"schema_version":"1.0"},"canonical_sha256":"d3bb6357f1ab3018c063ff021dea062336386250abca88fc97a78461b3aef8b1","source":{"kind":"arxiv","id":"1512.07341","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07341","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07341v1","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07341","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"2O5WGV7RVMYB","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2O5WGV7RVMYBRQDD","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2O5WGV7R","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2O5WGV7RVMYBRQDD74BB32QGEM","target":"record","payload":{"canonical_record":{"source":{"id":"1512.07341","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-23T02:56:15Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"aa28307195fc5f5edace80057bf28d73f160a9bcf4c8064c7a4d862ee440752c","abstract_canon_sha256":"ffc70539198a90b308de3f114498e7201e564753fe79370b6077bc1af89831a6"},"schema_version":"1.0"},"canonical_sha256":"d3bb6357f1ab3018c063ff021dea062336386250abca88fc97a78461b3aef8b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:49.969242Z","signature_b64":"pAiFimPXbmM3sX8xOYLaXOLg6ch1iAux7TfAiLRS1kh2ULonavZAwxEblBEBCPPqbPJyeOIO7KQAUmt7BkPQCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3bb6357f1ab3018c063ff021dea062336386250abca88fc97a78461b3aef8b1","last_reissued_at":"2026-05-18T01:23:49.968567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:49.968567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.07341","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":"2026-05-18T01:23:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"voOeHQvNp5FQRkCe9fGd+0Gp9pVU00m1FKeDeoWkeC2gJmMPeOke6YS1iveRJ1KCbG4ZnaIJsO/SCQAA0g6wAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:09:28.331503Z"},"content_sha256":"df9eaabc6a121c427f88271f2fbb9b5ceb9c6c06936587b04f9dedda91012159","schema_version":"1.0","event_id":"sha256:df9eaabc6a121c427f88271f2fbb9b5ceb9c6c06936587b04f9dedda91012159"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2O5WGV7RVMYBRQDD74BB32QGEM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complete weight enumerators of two classes of linear codes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dongdai Lin, Fei Li, Kelan Ding, Qiuyan Wang","submitted_at":"2015-12-23T02:56:15Z","abstract_excerpt":"Recently, linear codes with few weights have been constructed and extensively studied. In this paper, for an odd prime p, we determined the complete weight enumerator of two classes of p-ary linear codes constructed from defining set. Results show that the codes are at almost seven-weight linear codes and they may have applications in secret sharing schemes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07341","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":"2026-05-18T01:23:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oMY0dfRp75JxCnWqgqX0jY9USAORWyNZQFXM/uLtU7jCkxqEfYwXQGLAJp0MCLbe5E9poClcqmoKdDtdOiMpCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T09:09:28.331845Z"},"content_sha256":"df596c89884b05a25dc24a42133e2c84c3c72ff6964efc421a8f9ce009b37bdb","schema_version":"1.0","event_id":"sha256:df596c89884b05a25dc24a42133e2c84c3c72ff6964efc421a8f9ce009b37bdb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2O5WGV7RVMYBRQDD74BB32QGEM/bundle.json","state_url":"https://pith.science/pith/2O5WGV7RVMYBRQDD74BB32QGEM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2O5WGV7RVMYBRQDD74BB32QGEM/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":"2026-06-04T09:09:28Z","links":{"resolver":"https://pith.science/pith/2O5WGV7RVMYBRQDD74BB32QGEM","bundle":"https://pith.science/pith/2O5WGV7RVMYBRQDD74BB32QGEM/bundle.json","state":"https://pith.science/pith/2O5WGV7RVMYBRQDD74BB32QGEM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2O5WGV7RVMYBRQDD74BB32QGEM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2O5WGV7RVMYBRQDD74BB32QGEM","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":"ffc70539198a90b308de3f114498e7201e564753fe79370b6077bc1af89831a6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-23T02:56:15Z","title_canon_sha256":"aa28307195fc5f5edace80057bf28d73f160a9bcf4c8064c7a4d862ee440752c"},"schema_version":"1.0","source":{"id":"1512.07341","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07341","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07341v1","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07341","created_at":"2026-05-18T01:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"2O5WGV7RVMYB","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2O5WGV7RVMYBRQDD","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2O5WGV7R","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:df596c89884b05a25dc24a42133e2c84c3c72ff6964efc421a8f9ce009b37bdb","target":"graph","created_at":"2026-05-18T01:23:49Z","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":"Recently, linear codes with few weights have been constructed and extensively studied. In this paper, for an odd prime p, we determined the complete weight enumerator of two classes of p-ary linear codes constructed from defining set. Results show that the codes are at almost seven-weight linear codes and they may have applications in secret sharing schemes.","authors_text":"Dongdai Lin, Fei Li, Kelan Ding, Qiuyan Wang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-23T02:56:15Z","title":"Complete weight enumerators of two classes of linear codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07341","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:df9eaabc6a121c427f88271f2fbb9b5ceb9c6c06936587b04f9dedda91012159","target":"record","created_at":"2026-05-18T01:23:49Z","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":"ffc70539198a90b308de3f114498e7201e564753fe79370b6077bc1af89831a6","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-12-23T02:56:15Z","title_canon_sha256":"aa28307195fc5f5edace80057bf28d73f160a9bcf4c8064c7a4d862ee440752c"},"schema_version":"1.0","source":{"id":"1512.07341","kind":"arxiv","version":1}},"canonical_sha256":"d3bb6357f1ab3018c063ff021dea062336386250abca88fc97a78461b3aef8b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3bb6357f1ab3018c063ff021dea062336386250abca88fc97a78461b3aef8b1","first_computed_at":"2026-05-18T01:23:49.968567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:49.968567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pAiFimPXbmM3sX8xOYLaXOLg6ch1iAux7TfAiLRS1kh2ULonavZAwxEblBEBCPPqbPJyeOIO7KQAUmt7BkPQCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:49.969242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07341","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df9eaabc6a121c427f88271f2fbb9b5ceb9c6c06936587b04f9dedda91012159","sha256:df596c89884b05a25dc24a42133e2c84c3c72ff6964efc421a8f9ce009b37bdb"],"state_sha256":"9cc3746420852c985fbd45858d2eb8e12397e481fd19f9de4c633d2e0679ce45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fC315trsP6+LhVfiXPWSQEmD6Lag5zQj4X2bfh5KFpkWrJHybp7NHGGkryMjMO7IjOwLpdchKCNhFtWezX6wCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T09:09:28.333739Z","bundle_sha256":"5c582c9fd3347b219dbe9694110ff9d6e4d7866428f4003635ef73dca407d021"}}