{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TULWW2A3HXNYY3MXFUKQ4I7WHW","short_pith_number":"pith:TULWW2A3","canonical_record":{"source":{"id":"1312.4638","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-17T04:49:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"19a660d6fa1d45aff477185a47dcf7aebceb118e127e1136d6ae8d044c065649","abstract_canon_sha256":"2b592b6a80c86a03a80708827ff9312a14ceeb25510a3491b93b573676bd9cdc"},"schema_version":"1.0"},"canonical_sha256":"9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749","source":{"kind":"arxiv","id":"1312.4638","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4638","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4638v3","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4638","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"pith_short_12","alias_value":"TULWW2A3HXNY","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TULWW2A3HXNYY3MX","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TULWW2A3","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TULWW2A3HXNYY3MXFUKQ4I7WHW","target":"record","payload":{"canonical_record":{"source":{"id":"1312.4638","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-17T04:49:37Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"19a660d6fa1d45aff477185a47dcf7aebceb118e127e1136d6ae8d044c065649","abstract_canon_sha256":"2b592b6a80c86a03a80708827ff9312a14ceeb25510a3491b93b573676bd9cdc"},"schema_version":"1.0"},"canonical_sha256":"9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:18.955255Z","signature_b64":"jqubJsUS8MOtkCqcfvllE41nkb2aJwxIEiWxjjvhEohG04wXZ36FxkIPhynQb3ADh8RX/FSXoIPRkQdqcb5LCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749","last_reissued_at":"2026-05-18T02:27:18.954505Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:18.954505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.4638","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:27:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M6wmfHBAP2g+abTq76mtYKC0/k2nvHuXAz0fxcpRX9oM0gQxqFNPorIz6RKZUKEZkw9LS5/fvf5JjFsUae/cAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:01:52.756630Z"},"content_sha256":"c374733130508e3484574a15fa1b4d993f80c075a8d1ea53764a5a67ca38f8fd","schema_version":"1.0","event_id":"sha256:c374733130508e3484574a15fa1b4d993f80c075a8d1ea53764a5a67ca38f8fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TULWW2A3HXNYY3MXFUKQ4I7WHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Class of Five-weight Cyclic Codes and Their Weight Distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Haode Yan, Yan Liu","submitted_at":"2013-12-17T04:49:37Z","abstract_excerpt":"In this paper, a family of five-weight reducible cyclic codes is presented. Furthermore, the weight distribution of these cyclic codes is determined, which follows from the determination of value distributions of certain exponential sums."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4638","kind":"arxiv","version":3},"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":"2026-05-18T02:27:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D7Ec45c1Z0tDgUwbu/WQoX1SPxGn1FCO5SiLtCyL4YKVk641WgOojwkeJ3nMjd+gqaEGPJeKF2sqqu/c7iemBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:01:52.756977Z"},"content_sha256":"8a6639513a60bac665b0f942b6d80c820b900d9b6ed2d64908ae96e6e864c864","schema_version":"1.0","event_id":"sha256:8a6639513a60bac665b0f942b6d80c820b900d9b6ed2d64908ae96e6e864c864"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW/bundle.json","state_url":"https://pith.science/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW/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":"2026-06-01T13:01:52Z","links":{"resolver":"https://pith.science/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW","bundle":"https://pith.science/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW/bundle.json","state":"https://pith.science/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TULWW2A3HXNYY3MXFUKQ4I7WHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TULWW2A3HXNYY3MXFUKQ4I7WHW","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":"2b592b6a80c86a03a80708827ff9312a14ceeb25510a3491b93b573676bd9cdc","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-17T04:49:37Z","title_canon_sha256":"19a660d6fa1d45aff477185a47dcf7aebceb118e127e1136d6ae8d044c065649"},"schema_version":"1.0","source":{"id":"1312.4638","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.4638","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"arxiv_version","alias_value":"1312.4638v3","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.4638","created_at":"2026-05-18T02:27:18Z"},{"alias_kind":"pith_short_12","alias_value":"TULWW2A3HXNY","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TULWW2A3HXNYY3MX","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TULWW2A3","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:8a6639513a60bac665b0f942b6d80c820b900d9b6ed2d64908ae96e6e864c864","target":"graph","created_at":"2026-05-18T02:27:18Z","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, a family of five-weight reducible cyclic codes is presented. Furthermore, the weight distribution of these cyclic codes is determined, which follows from the determination of value distributions of certain exponential sums.","authors_text":"Haode Yan, Yan Liu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-17T04:49:37Z","title":"A Class of Five-weight Cyclic Codes and Their Weight Distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4638","kind":"arxiv","version":3},"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:c374733130508e3484574a15fa1b4d993f80c075a8d1ea53764a5a67ca38f8fd","target":"record","created_at":"2026-05-18T02:27:18Z","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":"2b592b6a80c86a03a80708827ff9312a14ceeb25510a3491b93b573676bd9cdc","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2013-12-17T04:49:37Z","title_canon_sha256":"19a660d6fa1d45aff477185a47dcf7aebceb118e127e1136d6ae8d044c065649"},"schema_version":"1.0","source":{"id":"1312.4638","kind":"arxiv","version":3}},"canonical_sha256":"9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d176b681b3ddb8c6d972d150e23f63d93b3bb70d0233107ae586d4e20b16749","first_computed_at":"2026-05-18T02:27:18.954505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:18.954505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jqubJsUS8MOtkCqcfvllE41nkb2aJwxIEiWxjjvhEohG04wXZ36FxkIPhynQb3ADh8RX/FSXoIPRkQdqcb5LCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:18.955255Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.4638","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c374733130508e3484574a15fa1b4d993f80c075a8d1ea53764a5a67ca38f8fd","sha256:8a6639513a60bac665b0f942b6d80c820b900d9b6ed2d64908ae96e6e864c864"],"state_sha256":"a74e2dc16563fb10fa22f9592ce9683941e1370c131166dac257876e04569bb2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AIyQcKeCk1Afw4JPr8RJypZckeekTXqjvo6P3k+u6jC1jdb7/LEDtyrsiB1XeFSaTrEJGkn6OygLkaZrdKgDAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:01:52.758904Z","bundle_sha256":"cae74036993ea2489fdb1bdd5c2546a15901b63b80787574deec8536c67960b7"}}