{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ZYXE5NV46AXYBPKXCZIS4TDRGG","short_pith_number":"pith:ZYXE5NV4","canonical_record":{"source":{"id":"1905.04940","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-05-13T09:54:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"08d09891dd7718cc5a0a85947f007522b2e93c4d2e305f3cc5633659c2ac8364","abstract_canon_sha256":"158eff0db62610faedb71bd5344f6fe7fe0e8d153c079bb272e70210b44bd73d"},"schema_version":"1.0"},"canonical_sha256":"ce2e4eb6bcf02f80bd5716512e4c7131b156f5375c6e997aa1d213942c84468d","source":{"kind":"arxiv","id":"1905.04940","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04940","created_at":"2026-05-17T23:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04940v1","created_at":"2026-05-17T23:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04940","created_at":"2026-05-17T23:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZYXE5NV46AXY","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZYXE5NV46AXYBPKX","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZYXE5NV4","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ZYXE5NV46AXYBPKXCZIS4TDRGG","target":"record","payload":{"canonical_record":{"source":{"id":"1905.04940","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-05-13T09:54:08Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"08d09891dd7718cc5a0a85947f007522b2e93c4d2e305f3cc5633659c2ac8364","abstract_canon_sha256":"158eff0db62610faedb71bd5344f6fe7fe0e8d153c079bb272e70210b44bd73d"},"schema_version":"1.0"},"canonical_sha256":"ce2e4eb6bcf02f80bd5716512e4c7131b156f5375c6e997aa1d213942c84468d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:46:23.054831Z","signature_b64":"hNHVIFMfZhm9ILHXWPsaGgxzOJoV5HPtzh7tszhnvxZYJdFKqBEEafqCurdIlzJOtmSioseF33gSCYzv9LeFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce2e4eb6bcf02f80bd5716512e4c7131b156f5375c6e997aa1d213942c84468d","last_reissued_at":"2026-05-17T23:46:23.054372Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:46:23.054372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.04940","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":"2026-05-17T23:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sjh0At/75hzR0j8wut6hsj9JpKDBy50sx0jQbGfm+TOcuv0MEh/WQwM97h0jdE6Bo2sST2hkpKIxJel0f8rUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:55:30.539150Z"},"content_sha256":"4c32972f7d7b742ad6e5f29c84619a49f5623336f6277d501313498aa3b94afa","schema_version":"1.0","event_id":"sha256:4c32972f7d7b742ad6e5f29c84619a49f5623336f6277d501313498aa3b94afa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ZYXE5NV46AXYBPKXCZIS4TDRGG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of three classes of Strictly Optimal Frequency-Hopping Sequence Sets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Honggang Hu, Ming Mao, Xianhong Xie, Yi Ouyang","submitted_at":"2019-05-13T09:54:08Z","abstract_excerpt":"In this paper, we construct three classes of strictly optimal frequency-hopping sequence (FHS) sets with respect to partial Hamming correlation and family size. The first class is based on a generic construction, the second and third classes are based from the trace map."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04940","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":"2026-05-17T23:46:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ynKtQbFIPmzhQiDXEm0U6UA/KuDgZpE+D8rdWJT1JrvMPr9giWkrlZmmTEmxsffgWa4XT/CeoVffrle/BxcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T03:55:30.539507Z"},"content_sha256":"a906bbf0aa13c7d3449a7148736125118102b7bd874143cf6e176df7dcbca356","schema_version":"1.0","event_id":"sha256:a906bbf0aa13c7d3449a7148736125118102b7bd874143cf6e176df7dcbca356"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG/bundle.json","state_url":"https://pith.science/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG/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":"2026-06-04T03:55:30Z","links":{"resolver":"https://pith.science/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG","bundle":"https://pith.science/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG/bundle.json","state":"https://pith.science/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYXE5NV46AXYBPKXCZIS4TDRGG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZYXE5NV46AXYBPKXCZIS4TDRGG","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":"158eff0db62610faedb71bd5344f6fe7fe0e8d153c079bb272e70210b44bd73d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-05-13T09:54:08Z","title_canon_sha256":"08d09891dd7718cc5a0a85947f007522b2e93c4d2e305f3cc5633659c2ac8364"},"schema_version":"1.0","source":{"id":"1905.04940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.04940","created_at":"2026-05-17T23:46:23Z"},{"alias_kind":"arxiv_version","alias_value":"1905.04940v1","created_at":"2026-05-17T23:46:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.04940","created_at":"2026-05-17T23:46:23Z"},{"alias_kind":"pith_short_12","alias_value":"ZYXE5NV46AXY","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZYXE5NV46AXYBPKX","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZYXE5NV4","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:a906bbf0aa13c7d3449a7148736125118102b7bd874143cf6e176df7dcbca356","target":"graph","created_at":"2026-05-17T23:46:23Z","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, we construct three classes of strictly optimal frequency-hopping sequence (FHS) sets with respect to partial Hamming correlation and family size. The first class is based on a generic construction, the second and third classes are based from the trace map.","authors_text":"Honggang Hu, Ming Mao, Xianhong Xie, Yi Ouyang","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-05-13T09:54:08Z","title":"Construction of three classes of Strictly Optimal Frequency-Hopping Sequence Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04940","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":"sha256:4c32972f7d7b742ad6e5f29c84619a49f5623336f6277d501313498aa3b94afa","target":"record","created_at":"2026-05-17T23:46:23Z","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":"158eff0db62610faedb71bd5344f6fe7fe0e8d153c079bb272e70210b44bd73d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-05-13T09:54:08Z","title_canon_sha256":"08d09891dd7718cc5a0a85947f007522b2e93c4d2e305f3cc5633659c2ac8364"},"schema_version":"1.0","source":{"id":"1905.04940","kind":"arxiv","version":1}},"canonical_sha256":"ce2e4eb6bcf02f80bd5716512e4c7131b156f5375c6e997aa1d213942c84468d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce2e4eb6bcf02f80bd5716512e4c7131b156f5375c6e997aa1d213942c84468d","first_computed_at":"2026-05-17T23:46:23.054372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:23.054372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hNHVIFMfZhm9ILHXWPsaGgxzOJoV5HPtzh7tszhnvxZYJdFKqBEEafqCurdIlzJOtmSioseF33gSCYzv9LeFCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:23.054831Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.04940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c32972f7d7b742ad6e5f29c84619a49f5623336f6277d501313498aa3b94afa","sha256:a906bbf0aa13c7d3449a7148736125118102b7bd874143cf6e176df7dcbca356"],"state_sha256":"61dfeb8bc80b1568bded2f6f6e77f6727d7fc4a63c429cc3f2ef2a5f8581d59b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IyOQeVWoX+Mzv1qcNpI9gmupg2s5wUmrfkiYXdFmCP8/S5ZTUWb19jumWtfJb6KsYn0P5h/5rq9nPPKvIjgTCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T03:55:30.541383Z","bundle_sha256":"8d7008ea1224a4afc5fba714c695043a51b67d4692a114dfe422c6d3ba80179e"}}