{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AF7BR4T7H4WXM45KJDBRGS5SUQ","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":"c2d2d72a71c0dbff45f68811614dc3ff709a2259d7ae7b0fb5eea7c32b94bf07","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-19T05:43:55Z","title_canon_sha256":"017e2a9db8ae29dfdee8e11ee9d84f977551db0909b93aa5612ce90e6d22b427"},"schema_version":"1.0","source":{"id":"1503.05650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.05650","created_at":"2026-05-18T02:20:58Z"},{"alias_kind":"arxiv_version","alias_value":"1503.05650v1","created_at":"2026-05-18T02:20:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05650","created_at":"2026-05-18T02:20:58Z"},{"alias_kind":"pith_short_12","alias_value":"AF7BR4T7H4WX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AF7BR4T7H4WXM45K","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AF7BR4T7","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:c5d89344b198e0aded994574dbf40d5654afe7fc10f7479c3d1915d3231d252d","target":"graph","created_at":"2026-05-18T02:20:58Z","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, new pairs of binary sequences with three cross correlation values are presented. The cross correlation values are shown to be low. Finally we present some numerical results and some open problems.","authors_text":"Jinquan Luo","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-19T05:43:55Z","title":"Binary sequences with three-valued cross correlations of different lengths"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05650","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":"sha256:83076d2dcab1f9d30294a625eeb0b31a53ebaab46289d9bfe2ef25fd5f1b59d7","target":"record","created_at":"2026-05-18T02:20:58Z","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":"c2d2d72a71c0dbff45f68811614dc3ff709a2259d7ae7b0fb5eea7c32b94bf07","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-03-19T05:43:55Z","title_canon_sha256":"017e2a9db8ae29dfdee8e11ee9d84f977551db0909b93aa5612ce90e6d22b427"},"schema_version":"1.0","source":{"id":"1503.05650","kind":"arxiv","version":1}},"canonical_sha256":"017e18f27f3f2d7673aa48c3134bb2a425207183bfb1ffe61c47dd221bfbd95e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"017e18f27f3f2d7673aa48c3134bb2a425207183bfb1ffe61c47dd221bfbd95e","first_computed_at":"2026-05-18T02:20:58.484501Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:58.484501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wi5RRklM9jvDMmWtgdhI03zt2fmScb/E3Sn4tjd14az0JBvLq0Q8cL5x1U4ma2wv5ZnGtKEHnwjqyxSUQHmOAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:58.485203Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.05650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83076d2dcab1f9d30294a625eeb0b31a53ebaab46289d9bfe2ef25fd5f1b59d7","sha256:c5d89344b198e0aded994574dbf40d5654afe7fc10f7479c3d1915d3231d252d"],"state_sha256":"3f4804ad9ba9b8398f9b1a857c545598b4a52c206facf7396bac18c04df5e62a"}