{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KEPLYKW7E6OY2C7GRVBNUU5BE6","short_pith_number":"pith:KEPLYKW7","canonical_record":{"source":{"id":"1611.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-11-22T11:30:18Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4597cd2caf0253e9d143b8296ee95834a36fe4e8fa5adb29640e50074cf6b3cb","abstract_canon_sha256":"f58be0f1d8a4c3257b76887f7d9f49b6493582e025d3c0ee6bf49f3b1d6a5e99"},"schema_version":"1.0"},"canonical_sha256":"511ebc2adf279d8d0be68d42da53a127aee97985d98def1a545bf6a4405a32e8","source":{"kind":"arxiv","id":"1611.07253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07253","created_at":"2026-05-18T00:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07253v1","created_at":"2026-05-18T00:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07253","created_at":"2026-05-18T00:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"KEPLYKW7E6OY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KEPLYKW7E6OY2C7G","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KEPLYKW7","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KEPLYKW7E6OY2C7GRVBNUU5BE6","target":"record","payload":{"canonical_record":{"source":{"id":"1611.07253","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-11-22T11:30:18Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4597cd2caf0253e9d143b8296ee95834a36fe4e8fa5adb29640e50074cf6b3cb","abstract_canon_sha256":"f58be0f1d8a4c3257b76887f7d9f49b6493582e025d3c0ee6bf49f3b1d6a5e99"},"schema_version":"1.0"},"canonical_sha256":"511ebc2adf279d8d0be68d42da53a127aee97985d98def1a545bf6a4405a32e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:24.438613Z","signature_b64":"GKA+JW4e5KmB6Aczs4lGldogcRLqGY07lyEnYAr0skYxgLgH2WUGO1fGFD6NyHbrnq5OaZ/55iLgmWkfrMRODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"511ebc2adf279d8d0be68d42da53a127aee97985d98def1a545bf6a4405a32e8","last_reissued_at":"2026-05-18T00:57:24.438059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:24.438059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.07253","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":"2026-05-18T00:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IgrIucFzJM9IXle5SpUbc4VJzhXvWZgdKARiVDRDiVepPSYqKoo5zkH3LUVO7QB4+Jd0BIBuBw1a2TmxDzOTDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:54:40.979153Z"},"content_sha256":"f8716b473cb8f1ca9cc16ade50c2104f0b3fa342fa1956e90c9ca6950d689947","schema_version":"1.0","event_id":"sha256:f8716b473cb8f1ca9cc16ade50c2104f0b3fa342fa1956e90c9ca6950d689947"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KEPLYKW7E6OY2C7GRVBNUU5BE6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Wigner-Ville Spectra and the Unicity of Time-Varying Quantile-Based Spectral Densities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Holger Dette, Marc Hallin, Stanislav Volgushev, Stefan Birr, Tobias Kley","submitted_at":"2016-11-22T11:30:18Z","abstract_excerpt":"The unicity of the time-varying quantile-based spectrum proposed in Birr et al. (2016) is established via an asymptotic representation result involving Wigner-Ville spectra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07253","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":"2026-05-18T00:57:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FnMPNUBzvWzz88r2+UmhpiicPNfJtbjVKfZLy5qZPQ5hHlYiU1WK4A5+5JdO/YMS66ZLrrQBIx72O5oARxPGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:54:40.979841Z"},"content_sha256":"c27fb8699288fcfaf0df4e88e410924f5c188eb804ccfbe96e89711d18a8c455","schema_version":"1.0","event_id":"sha256:c27fb8699288fcfaf0df4e88e410924f5c188eb804ccfbe96e89711d18a8c455"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6/bundle.json","state_url":"https://pith.science/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6/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":"2026-05-26T03:54:40Z","links":{"resolver":"https://pith.science/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6","bundle":"https://pith.science/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6/bundle.json","state":"https://pith.science/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KEPLYKW7E6OY2C7GRVBNUU5BE6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KEPLYKW7E6OY2C7GRVBNUU5BE6","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":"f58be0f1d8a4c3257b76887f7d9f49b6493582e025d3c0ee6bf49f3b1d6a5e99","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-11-22T11:30:18Z","title_canon_sha256":"4597cd2caf0253e9d143b8296ee95834a36fe4e8fa5adb29640e50074cf6b3cb"},"schema_version":"1.0","source":{"id":"1611.07253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.07253","created_at":"2026-05-18T00:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1611.07253v1","created_at":"2026-05-18T00:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.07253","created_at":"2026-05-18T00:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"KEPLYKW7E6OY","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KEPLYKW7E6OY2C7G","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KEPLYKW7","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:c27fb8699288fcfaf0df4e88e410924f5c188eb804ccfbe96e89711d18a8c455","target":"graph","created_at":"2026-05-18T00:57:24Z","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 unicity of the time-varying quantile-based spectrum proposed in Birr et al. (2016) is established via an asymptotic representation result involving Wigner-Ville spectra.","authors_text":"Holger Dette, Marc Hallin, Stanislav Volgushev, Stefan Birr, Tobias Kley","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-11-22T11:30:18Z","title":"On Wigner-Ville Spectra and the Unicity of Time-Varying Quantile-Based Spectral Densities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07253","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:f8716b473cb8f1ca9cc16ade50c2104f0b3fa342fa1956e90c9ca6950d689947","target":"record","created_at":"2026-05-18T00:57:24Z","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":"f58be0f1d8a4c3257b76887f7d9f49b6493582e025d3c0ee6bf49f3b1d6a5e99","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2016-11-22T11:30:18Z","title_canon_sha256":"4597cd2caf0253e9d143b8296ee95834a36fe4e8fa5adb29640e50074cf6b3cb"},"schema_version":"1.0","source":{"id":"1611.07253","kind":"arxiv","version":1}},"canonical_sha256":"511ebc2adf279d8d0be68d42da53a127aee97985d98def1a545bf6a4405a32e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"511ebc2adf279d8d0be68d42da53a127aee97985d98def1a545bf6a4405a32e8","first_computed_at":"2026-05-18T00:57:24.438059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:24.438059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GKA+JW4e5KmB6Aczs4lGldogcRLqGY07lyEnYAr0skYxgLgH2WUGO1fGFD6NyHbrnq5OaZ/55iLgmWkfrMRODg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:24.438613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.07253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8716b473cb8f1ca9cc16ade50c2104f0b3fa342fa1956e90c9ca6950d689947","sha256:c27fb8699288fcfaf0df4e88e410924f5c188eb804ccfbe96e89711d18a8c455"],"state_sha256":"3f2c134ba1e23c5ae7450c3736cc4230554d0288e8c6d42e4115fe190c899f0e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dlorcKoRw/q0ORHvT0xxr3gsS095KjYxljx5Dq3r/H0Kb9UdJEl3i10AN+nqtKs56R0rq1Jx7KwBPdBnErhcCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T03:54:40.983495Z","bundle_sha256":"2dcbff4c3783e413f87e80519c24abb4f6cc5a0c6e11a66780eea2dfd8cb1c5e"}}