{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DKUAG66747DFUL7ZT6GKN7G2BT","short_pith_number":"pith:DKUAG667","canonical_record":{"source":{"id":"1806.04707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-12T18:38:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5855bc8f25664cb9e43268c2f91cf5d0e4f0b0c541b6b9cae815eb6511cfe220","abstract_canon_sha256":"984fd17df99997996b7fd3df167d2de0bcdf111f105983a5300725ac92b3a017"},"schema_version":"1.0"},"canonical_sha256":"1aa8037bdfe7c65a2ff99f8ca6fcda0cd2b0412db8558e6a3d3e06f2a0544acd","source":{"kind":"arxiv","id":"1806.04707","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04707","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04707v1","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04707","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"DKUAG66747DF","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DKUAG66747DFUL7Z","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DKUAG667","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DKUAG66747DFUL7ZT6GKN7G2BT","target":"record","payload":{"canonical_record":{"source":{"id":"1806.04707","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-12T18:38:12Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"5855bc8f25664cb9e43268c2f91cf5d0e4f0b0c541b6b9cae815eb6511cfe220","abstract_canon_sha256":"984fd17df99997996b7fd3df167d2de0bcdf111f105983a5300725ac92b3a017"},"schema_version":"1.0"},"canonical_sha256":"1aa8037bdfe7c65a2ff99f8ca6fcda0cd2b0412db8558e6a3d3e06f2a0544acd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:21.060502Z","signature_b64":"sIaoOTtuzUMDju4B0TooUQWw3Z4MrN5GphwJqanqKHK6PdQrUCFWY4a/Lwo2EKnmdjMa44L5Vq80VZbpwUNoDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1aa8037bdfe7c65a2ff99f8ca6fcda0cd2b0412db8558e6a3d3e06f2a0544acd","last_reissued_at":"2026-05-18T00:13:21.059939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:21.059939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.04707","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":"2026-05-18T00:13:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UuyDKaF0XBJGeOTRo/QI44uytmTCTWjA7b7DC4vY5Un8+rmm9FBW2X1lWYEEPjyjgn46pYcHwR0geZvqY6pCDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T12:02:00.795161Z"},"content_sha256":"a07e1181531e61ade5020cdf7b0cc696fffcba2c8b1055a8297ea98f5f3d04a9","schema_version":"1.0","event_id":"sha256:a07e1181531e61ade5020cdf7b0cc696fffcba2c8b1055a8297ea98f5f3d04a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DKUAG66747DFUL7ZT6GKN7G2BT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequences with Low Correlation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Daniel J. Katz","submitted_at":"2018-06-12T18:38:12Z","abstract_excerpt":"Pseudorandom sequences are used extensively in communications and remote sensing. Correlation provides one measure of pseudorandomness, and low correlation is an important factor determining the performance of digital sequences in applications. We consider the problem of constructing pairs $(f,g)$ of sequences such that both $f$ and $g$ have low mean square autocorrelation and $f$ and $g$ have low mean square mutual crosscorrelation. We focus on aperiodic correlation of binary sequences, and review recent contributions along with some historical context."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04707","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":"2026-05-18T00:13:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B3dnmnnkpyUFE35xPLlxQdYRtCOYp0Ob2H1CeRil2RSg+k9wqqjECMP8faVGFEUqKGfTRLN47c0mB+6yQEkXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T12:02:00.795520Z"},"content_sha256":"0d16d6743e0bf8c3a7856edea73c3df65a21417af30cb46d77015ffd46c02472","schema_version":"1.0","event_id":"sha256:0d16d6743e0bf8c3a7856edea73c3df65a21417af30cb46d77015ffd46c02472"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DKUAG66747DFUL7ZT6GKN7G2BT/bundle.json","state_url":"https://pith.science/pith/DKUAG66747DFUL7ZT6GKN7G2BT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DKUAG66747DFUL7ZT6GKN7G2BT/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":"2026-06-21T12:02:00Z","links":{"resolver":"https://pith.science/pith/DKUAG66747DFUL7ZT6GKN7G2BT","bundle":"https://pith.science/pith/DKUAG66747DFUL7ZT6GKN7G2BT/bundle.json","state":"https://pith.science/pith/DKUAG66747DFUL7ZT6GKN7G2BT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DKUAG66747DFUL7ZT6GKN7G2BT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DKUAG66747DFUL7ZT6GKN7G2BT","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":"984fd17df99997996b7fd3df167d2de0bcdf111f105983a5300725ac92b3a017","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-12T18:38:12Z","title_canon_sha256":"5855bc8f25664cb9e43268c2f91cf5d0e4f0b0c541b6b9cae815eb6511cfe220"},"schema_version":"1.0","source":{"id":"1806.04707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04707","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04707v1","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04707","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"DKUAG66747DF","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DKUAG66747DFUL7Z","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DKUAG667","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:0d16d6743e0bf8c3a7856edea73c3df65a21417af30cb46d77015ffd46c02472","target":"graph","created_at":"2026-05-18T00:13:21Z","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":"Pseudorandom sequences are used extensively in communications and remote sensing. Correlation provides one measure of pseudorandomness, and low correlation is an important factor determining the performance of digital sequences in applications. We consider the problem of constructing pairs $(f,g)$ of sequences such that both $f$ and $g$ have low mean square autocorrelation and $f$ and $g$ have low mean square mutual crosscorrelation. We focus on aperiodic correlation of binary sequences, and review recent contributions along with some historical context.","authors_text":"Daniel J. Katz","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-12T18:38:12Z","title":"Sequences with Low Correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04707","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:a07e1181531e61ade5020cdf7b0cc696fffcba2c8b1055a8297ea98f5f3d04a9","target":"record","created_at":"2026-05-18T00:13:21Z","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":"984fd17df99997996b7fd3df167d2de0bcdf111f105983a5300725ac92b3a017","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-06-12T18:38:12Z","title_canon_sha256":"5855bc8f25664cb9e43268c2f91cf5d0e4f0b0c541b6b9cae815eb6511cfe220"},"schema_version":"1.0","source":{"id":"1806.04707","kind":"arxiv","version":1}},"canonical_sha256":"1aa8037bdfe7c65a2ff99f8ca6fcda0cd2b0412db8558e6a3d3e06f2a0544acd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1aa8037bdfe7c65a2ff99f8ca6fcda0cd2b0412db8558e6a3d3e06f2a0544acd","first_computed_at":"2026-05-18T00:13:21.059939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:21.059939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sIaoOTtuzUMDju4B0TooUQWw3Z4MrN5GphwJqanqKHK6PdQrUCFWY4a/Lwo2EKnmdjMa44L5Vq80VZbpwUNoDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:21.060502Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a07e1181531e61ade5020cdf7b0cc696fffcba2c8b1055a8297ea98f5f3d04a9","sha256:0d16d6743e0bf8c3a7856edea73c3df65a21417af30cb46d77015ffd46c02472"],"state_sha256":"94b293697a0117d7142b9fe88f29ba5bba9b32fd8f0b96db33a77efdf1e874df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpiPfZ8Y6ZcJgpTKDyIAhamujVWHxJVXgmop68GPRf+4UB9Ji3OefyqprWMVxGHOkc1W3V5r6mGozefyL63PCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T12:02:00.797501Z","bundle_sha256":"defbc9210ca72e42e6dab612d048f4fb2a5ec4897378e3482755ec17c84fe5fd"}}