{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DFKRWIU4TOFSILTJW4RE4LLHFE","short_pith_number":"pith:DFKRWIU4","canonical_record":{"source":{"id":"1802.02435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-07T14:35:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"86e678cbb3171d580d3812c3cb20b6907f495432a80ece9caa5d782d602b194f","abstract_canon_sha256":"b360ae36efa0e4c4202d65370a1dbf2b3d5f1f0fb6e90cce1853002fc271fd35"},"schema_version":"1.0"},"canonical_sha256":"19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95","source":{"kind":"arxiv","id":"1802.02435","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02435","created_at":"2026-05-18T00:03:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02435v2","created_at":"2026-05-18T00:03:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02435","created_at":"2026-05-18T00:03:17Z"},{"alias_kind":"pith_short_12","alias_value":"DFKRWIU4TOFS","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DFKRWIU4TOFSILTJ","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DFKRWIU4","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DFKRWIU4TOFSILTJW4RE4LLHFE","target":"record","payload":{"canonical_record":{"source":{"id":"1802.02435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-07T14:35:46Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"86e678cbb3171d580d3812c3cb20b6907f495432a80ece9caa5d782d602b194f","abstract_canon_sha256":"b360ae36efa0e4c4202d65370a1dbf2b3d5f1f0fb6e90cce1853002fc271fd35"},"schema_version":"1.0"},"canonical_sha256":"19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:17.205969Z","signature_b64":"GI8Jd+vJFxGIbIu7la+X/Vtrs/87fEzhjTXh89n7Q3Dsi4zaHbGUn468hMUcl8WFCBHlP0svQHNq7dreY60ECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95","last_reissued_at":"2026-05-18T00:03:17.205476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:17.205476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.02435","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:03:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"94i0DiGEjjRj7XrfAmRq1tMZlg+lN2yFrI++94DF4iQMy1WxIfsawmMVuHX/KOS8Ak6bWKJ11WWW/J9ZNqfHDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:57:21.838811Z"},"content_sha256":"5e9f380858ecda87eff8bcea9159fcfab84939d9e05398cc57b409a239b80a9e","schema_version":"1.0","event_id":"sha256:5e9f380858ecda87eff8bcea9159fcfab84939d9e05398cc57b409a239b80a9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DFKRWIU4TOFSILTJW4RE4LLHFE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mixed-state localization operators: Cohen's class and trace class operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.FA","authors_text":"Eirik Skrettingland, Franz Luef","submitted_at":"2018-02-07T14:35:46Z","abstract_excerpt":"We study mixed-state localization operators from the perspective of Werner's operator convolutions which allows us to extend known results from the rank-one case to trace class operators. The idea of localizing a signal to a domain in phase space is approached from various directions such as bounds on the spreading function, probability densities associated to mixed-state localization operators, positive operator valued measures, positive correspondence rules and variants of Tauberian theorems for operator translates. Our results include a rigorous treatment of multiwindow-STFT filters and a c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02435","kind":"arxiv","version":2},"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":"2026-05-18T00:03:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"881EkUDR4jvC8QdBYBSabCyUJay1ECf5TnJRfnbt3Ql24hpr2I+ELu5+bTiIxkiQZoPqUfCVLiZ2xrhnGdBLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:57:21.839513Z"},"content_sha256":"329af7425eb9f4e477d0638cd193c9d7e321d85e1f2460a93c08c8541b6522e6","schema_version":"1.0","event_id":"sha256:329af7425eb9f4e477d0638cd193c9d7e321d85e1f2460a93c08c8541b6522e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFKRWIU4TOFSILTJW4RE4LLHFE/bundle.json","state_url":"https://pith.science/pith/DFKRWIU4TOFSILTJW4RE4LLHFE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFKRWIU4TOFSILTJW4RE4LLHFE/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":"2026-05-24T10:57:21Z","links":{"resolver":"https://pith.science/pith/DFKRWIU4TOFSILTJW4RE4LLHFE","bundle":"https://pith.science/pith/DFKRWIU4TOFSILTJW4RE4LLHFE/bundle.json","state":"https://pith.science/pith/DFKRWIU4TOFSILTJW4RE4LLHFE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFKRWIU4TOFSILTJW4RE4LLHFE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DFKRWIU4TOFSILTJW4RE4LLHFE","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":"b360ae36efa0e4c4202d65370a1dbf2b3d5f1f0fb6e90cce1853002fc271fd35","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-07T14:35:46Z","title_canon_sha256":"86e678cbb3171d580d3812c3cb20b6907f495432a80ece9caa5d782d602b194f"},"schema_version":"1.0","source":{"id":"1802.02435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.02435","created_at":"2026-05-18T00:03:17Z"},{"alias_kind":"arxiv_version","alias_value":"1802.02435v2","created_at":"2026-05-18T00:03:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02435","created_at":"2026-05-18T00:03:17Z"},{"alias_kind":"pith_short_12","alias_value":"DFKRWIU4TOFS","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DFKRWIU4TOFSILTJ","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DFKRWIU4","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:329af7425eb9f4e477d0638cd193c9d7e321d85e1f2460a93c08c8541b6522e6","target":"graph","created_at":"2026-05-18T00:03:17Z","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 study mixed-state localization operators from the perspective of Werner's operator convolutions which allows us to extend known results from the rank-one case to trace class operators. The idea of localizing a signal to a domain in phase space is approached from various directions such as bounds on the spreading function, probability densities associated to mixed-state localization operators, positive operator valued measures, positive correspondence rules and variants of Tauberian theorems for operator translates. Our results include a rigorous treatment of multiwindow-STFT filters and a c","authors_text":"Eirik Skrettingland, Franz Luef","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-07T14:35:46Z","title":"Mixed-state localization operators: Cohen's class and trace class operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02435","kind":"arxiv","version":2},"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":"sha256:5e9f380858ecda87eff8bcea9159fcfab84939d9e05398cc57b409a239b80a9e","target":"record","created_at":"2026-05-18T00:03:17Z","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":"b360ae36efa0e4c4202d65370a1dbf2b3d5f1f0fb6e90cce1853002fc271fd35","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-02-07T14:35:46Z","title_canon_sha256":"86e678cbb3171d580d3812c3cb20b6907f495432a80ece9caa5d782d602b194f"},"schema_version":"1.0","source":{"id":"1802.02435","kind":"arxiv","version":2}},"canonical_sha256":"19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19551b229c9b8b242e69b7224e2d67292df2e43fc436142ced04074154a10e95","first_computed_at":"2026-05-18T00:03:17.205476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:17.205476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GI8Jd+vJFxGIbIu7la+X/Vtrs/87fEzhjTXh89n7Q3Dsi4zaHbGUn468hMUcl8WFCBHlP0svQHNq7dreY60ECQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:17.205969Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.02435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e9f380858ecda87eff8bcea9159fcfab84939d9e05398cc57b409a239b80a9e","sha256:329af7425eb9f4e477d0638cd193c9d7e321d85e1f2460a93c08c8541b6522e6"],"state_sha256":"192d34d51f738bd15636e1d1b5569684f3b7939a2b0778fce4e79baef18223ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Mdu6/56QDvmci6MTkUR5MBNuizR5vH/58FNxEF11owuu5G3JpevDuIK0qAqWAOBivVq4Og6T69mM1iPOb5CDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T10:57:21.843462Z","bundle_sha256":"53505e6c504228162951d1874e9e706bc19dd949e39fa6d6785fafcfce388dcc"}}