{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JBIPDE6Q67N3PZL3TEIIYCCUAS","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":"b5b6c573f3262ef29effeb0089fd79c860f8b024577426a9047aea4ac25c3138","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-11-12T08:33:42Z","title_canon_sha256":"ace27435373e825b8470feec50cf9b5d681f6628c9246436b8effa86ca405fa1"},"schema_version":"1.0","source":{"id":"1811.04601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.04601","created_at":"2026-05-18T00:01:04Z"},{"alias_kind":"arxiv_version","alias_value":"1811.04601v1","created_at":"2026-05-18T00:01:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04601","created_at":"2026-05-18T00:01:04Z"},{"alias_kind":"pith_short_12","alias_value":"JBIPDE6Q67N3","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JBIPDE6Q67N3PZL3","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JBIPDE6Q","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:9114e596ad4ed2b149de912462bd9d4ee6e8c6f447840952a6f4c128a115316b","target":"graph","created_at":"2026-05-18T00:01:04Z","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":"The quadratic nature of the Wigner distribution causes the appearance of unwanted interferences. This is the reason why engineers, mathematicians and physicists look for related time-frequency distributions, many of them are members of the Cohen class. Among them, the Born-Jordan distribution has recently attracted the attention of many authors, since the so-called ghost frequencies are damped quite well, and the noise is in general reduced. The very insight relies on the kernel of such a distribution, which contains the sinus cardinalis (sinc), which can be viewed as the Fourier transform, of","authors_text":"Elena Cordero, Fabio Nicola, Maurice de Gosson, Monika D\\\"orfler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-11-12T08:33:42Z","title":"Generalized Born--Jordan Distributions and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04601","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":"sha256:0bfd328799f6ee11c7d0f01d940243c0b85b42f9e7698ef0dc00fe105334816b","target":"record","created_at":"2026-05-18T00:01:04Z","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":"b5b6c573f3262ef29effeb0089fd79c860f8b024577426a9047aea4ac25c3138","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-11-12T08:33:42Z","title_canon_sha256":"ace27435373e825b8470feec50cf9b5d681f6628c9246436b8effa86ca405fa1"},"schema_version":"1.0","source":{"id":"1811.04601","kind":"arxiv","version":1}},"canonical_sha256":"4850f193d0f7dbb7e57b99108c085404b9c92e1c190022a05b0e45da47f23618","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4850f193d0f7dbb7e57b99108c085404b9c92e1c190022a05b0e45da47f23618","first_computed_at":"2026-05-18T00:01:04.631354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:04.631354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dm0Wg8kILHBcIsaV2k98ap33wYmmwA0j/KKZcHSYszYrcBU/qjdH5Gym9Bf5ZKwutzfz32ihjodI1pfngpsRAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:04.632026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.04601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0bfd328799f6ee11c7d0f01d940243c0b85b42f9e7698ef0dc00fe105334816b","sha256:9114e596ad4ed2b149de912462bd9d4ee6e8c6f447840952a6f4c128a115316b"],"state_sha256":"2d458e3a4f0673f7720d64b3b318ab9d9be632cea7cf3c371b614d6d2396153a"}