{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LUXE3BLRG7VOHBXIG37KQZPGF4","short_pith_number":"pith:LUXE3BLR","canonical_record":{"source":{"id":"1702.07697","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-24T18:33:12Z","cross_cats_sorted":["math.CV","math.IT","math.NT"],"title_canon_sha256":"e0102a4c5ac18b6fd1e6f8f93ec529c3b2686e79cae872f6609bb780021d5728","abstract_canon_sha256":"95f0b750e203c63ffd3b7e48706049fea3d499b1b62f72b1bea3ec024d64e4e6"},"schema_version":"1.0"},"canonical_sha256":"5d2e4d857137eae386e836fea865e62f1cb49448257918248801a09d09ab42c9","source":{"kind":"arxiv","id":"1702.07697","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07697","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07697v3","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07697","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"LUXE3BLRG7VO","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LUXE3BLRG7VOHBXI","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LUXE3BLR","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LUXE3BLRG7VOHBXIG37KQZPGF4","target":"record","payload":{"canonical_record":{"source":{"id":"1702.07697","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-24T18:33:12Z","cross_cats_sorted":["math.CV","math.IT","math.NT"],"title_canon_sha256":"e0102a4c5ac18b6fd1e6f8f93ec529c3b2686e79cae872f6609bb780021d5728","abstract_canon_sha256":"95f0b750e203c63ffd3b7e48706049fea3d499b1b62f72b1bea3ec024d64e4e6"},"schema_version":"1.0"},"canonical_sha256":"5d2e4d857137eae386e836fea865e62f1cb49448257918248801a09d09ab42c9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:48.947494Z","signature_b64":"Xjc+ljYCG0T2rHh2O2GmyQ6tB+8A5MRsWsP7EyjEM8FV7aHmxGFnTwQ7DhQhDEixbkZRqC6NsJtDi5ORuPpuCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d2e4d857137eae386e836fea865e62f1cb49448257918248801a09d09ab42c9","last_reissued_at":"2026-05-18T00:10:48.946924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:48.946924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.07697","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":"2026-05-18T00:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"laQSKx2fqblqoOEtc7d2PNh7j4Ga6FYzTJv/BHTddyctc+TToTYfLLhvEZTxG2mTsizX1JXwXP2+jzBKfv9wAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T09:30:11.665659Z"},"content_sha256":"2d71d9e7b981d357894e950b0d4fa70f02b6c6470b34a3109ef3e1695bf3b999","schema_version":"1.0","event_id":"sha256:2d71d9e7b981d357894e950b0d4fa70f02b6c6470b34a3109ef3e1695bf3b999"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LUXE3BLRG7VOHBXIG37KQZPGF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crosscorrelation of Rudin-Shapiro-Like Polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.IT","math.NT"],"primary_cat":"cs.IT","authors_text":"Daniel J. Katz, Sangman Lee, Stanislav A. Trunov","submitted_at":"2017-02-24T18:33:12Z","abstract_excerpt":"We consider the class of Rudin-Shapiro-like polynomials, whose $L^4$ norms on the complex unit circle were studied by Borwein and Mossinghoff. The polynomial $f(z)=f_0+f_1 z + \\cdots + f_d z^d$ is identified with the sequence $(f_0,f_1,\\ldots,f_d)$ of its coefficients. From the $L^4$ norm of a polynomial, one can easily calculate the autocorrelation merit factor of its associated sequence, and conversely. In this paper, we study the crosscorrelation properties of pairs of sequences associated to Rudin-Shapiro-like polynomials. We find an explicit formula for the crosscorrelation merit factor. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07697","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":"2026-05-18T00:10:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uvHFf5j9ydrHhFoKbCdmGXPm7IpxKOcSH378khSLrMbBeWp7ifkMD2b/LZcvkZZYJitc+hrWZmuxTlvI8CtVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T09:30:11.666002Z"},"content_sha256":"1fb843533a648c98183ef887b9df3c959b2fd5a4197bc6dd207b3eea7a232808","schema_version":"1.0","event_id":"sha256:1fb843533a648c98183ef887b9df3c959b2fd5a4197bc6dd207b3eea7a232808"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUXE3BLRG7VOHBXIG37KQZPGF4/bundle.json","state_url":"https://pith.science/pith/LUXE3BLRG7VOHBXIG37KQZPGF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUXE3BLRG7VOHBXIG37KQZPGF4/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":"2026-06-21T09:30:11Z","links":{"resolver":"https://pith.science/pith/LUXE3BLRG7VOHBXIG37KQZPGF4","bundle":"https://pith.science/pith/LUXE3BLRG7VOHBXIG37KQZPGF4/bundle.json","state":"https://pith.science/pith/LUXE3BLRG7VOHBXIG37KQZPGF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUXE3BLRG7VOHBXIG37KQZPGF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LUXE3BLRG7VOHBXIG37KQZPGF4","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":"95f0b750e203c63ffd3b7e48706049fea3d499b1b62f72b1bea3ec024d64e4e6","cross_cats_sorted":["math.CV","math.IT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-24T18:33:12Z","title_canon_sha256":"e0102a4c5ac18b6fd1e6f8f93ec529c3b2686e79cae872f6609bb780021d5728"},"schema_version":"1.0","source":{"id":"1702.07697","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.07697","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"arxiv_version","alias_value":"1702.07697v3","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.07697","created_at":"2026-05-18T00:10:48Z"},{"alias_kind":"pith_short_12","alias_value":"LUXE3BLRG7VO","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LUXE3BLRG7VOHBXI","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LUXE3BLR","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:1fb843533a648c98183ef887b9df3c959b2fd5a4197bc6dd207b3eea7a232808","target":"graph","created_at":"2026-05-18T00:10:48Z","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 consider the class of Rudin-Shapiro-like polynomials, whose $L^4$ norms on the complex unit circle were studied by Borwein and Mossinghoff. The polynomial $f(z)=f_0+f_1 z + \\cdots + f_d z^d$ is identified with the sequence $(f_0,f_1,\\ldots,f_d)$ of its coefficients. From the $L^4$ norm of a polynomial, one can easily calculate the autocorrelation merit factor of its associated sequence, and conversely. In this paper, we study the crosscorrelation properties of pairs of sequences associated to Rudin-Shapiro-like polynomials. We find an explicit formula for the crosscorrelation merit factor. ","authors_text":"Daniel J. Katz, Sangman Lee, Stanislav A. Trunov","cross_cats":["math.CV","math.IT","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-24T18:33:12Z","title":"Crosscorrelation of Rudin-Shapiro-Like Polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.07697","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":"sha256:2d71d9e7b981d357894e950b0d4fa70f02b6c6470b34a3109ef3e1695bf3b999","target":"record","created_at":"2026-05-18T00:10:48Z","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":"95f0b750e203c63ffd3b7e48706049fea3d499b1b62f72b1bea3ec024d64e4e6","cross_cats_sorted":["math.CV","math.IT","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-02-24T18:33:12Z","title_canon_sha256":"e0102a4c5ac18b6fd1e6f8f93ec529c3b2686e79cae872f6609bb780021d5728"},"schema_version":"1.0","source":{"id":"1702.07697","kind":"arxiv","version":3}},"canonical_sha256":"5d2e4d857137eae386e836fea865e62f1cb49448257918248801a09d09ab42c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d2e4d857137eae386e836fea865e62f1cb49448257918248801a09d09ab42c9","first_computed_at":"2026-05-18T00:10:48.946924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:48.946924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xjc+ljYCG0T2rHh2O2GmyQ6tB+8A5MRsWsP7EyjEM8FV7aHmxGFnTwQ7DhQhDEixbkZRqC6NsJtDi5ORuPpuCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:48.947494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.07697","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d71d9e7b981d357894e950b0d4fa70f02b6c6470b34a3109ef3e1695bf3b999","sha256:1fb843533a648c98183ef887b9df3c959b2fd5a4197bc6dd207b3eea7a232808"],"state_sha256":"dbedda3574ffa2c4afef0cf8243bce88bbec5555429f94ac91cc4f8768a182a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMWMaDOfA56qgp4GIYTi7OLiy8zOIfB2qq7XrF6/6RJVPajT1FFzvOZ6G0p7NlxzqFgp1YW5ZcnRQw+RqH/uDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T09:30:11.667971Z","bundle_sha256":"c6e5fee2287b1249a0be1aab30dabd9505a436eb37724cacd3e9705aae7cdbf5"}}