{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:AEWQR74QODPWB4JUO5DOML3NQ3","short_pith_number":"pith:AEWQR74Q","canonical_record":{"source":{"id":"2505.01231","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2025-05-02T12:36:30Z","cross_cats_sorted":["eess.SP","quant-ph"],"title_canon_sha256":"d8cb00190d277a10459b3da7c905e14216a19b2475a21b2561aee8d233f93c97","abstract_canon_sha256":"9d998a9f2b3176a6f8ec6d50ee598d6ffac04bfcf1ff559f565e584dabc35901"},"schema_version":"1.0"},"canonical_sha256":"012d08ff9070df60f1347746e62f6d86d80a70aaa51c2b683115aaf0963ed915","source":{"kind":"arxiv","id":"2505.01231","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.01231","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"2505.01231v2","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.01231","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"AEWQR74QODPW","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"pith_short_16","alias_value":"AEWQR74QODPWB4JU","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"pith_short_8","alias_value":"AEWQR74Q","created_at":"2026-07-05T11:41:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:AEWQR74QODPWB4JUO5DOML3NQ3","target":"record","payload":{"canonical_record":{"source":{"id":"2505.01231","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2025-05-02T12:36:30Z","cross_cats_sorted":["eess.SP","quant-ph"],"title_canon_sha256":"d8cb00190d277a10459b3da7c905e14216a19b2475a21b2561aee8d233f93c97","abstract_canon_sha256":"9d998a9f2b3176a6f8ec6d50ee598d6ffac04bfcf1ff559f565e584dabc35901"},"schema_version":"1.0"},"canonical_sha256":"012d08ff9070df60f1347746e62f6d86d80a70aaa51c2b683115aaf0963ed915","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:41.590917Z","signature_b64":"5YoL30nbEPqbObzqqpGSBB5nxTGLHpbOXy8PGm5faBrO/LVWSjfUmkiic1e2AGKAwmWaCL+2JA0lbFE/UjW7AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"012d08ff9070df60f1347746e62f6d86d80a70aaa51c2b683115aaf0963ed915","last_reissued_at":"2026-07-05T11:41:41.590460Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:41.590460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.01231","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":"2026-07-05T11:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m1WhaQxa+hD1B5xu4ascKAQeo5InSefjLXMhrP+2fceRPq9lV9q/BXb+wMjRSJ7bMktf1HTDuW8nfzEQjhhyAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T14:34:05.002116Z"},"content_sha256":"c5f7bc2abdeaed1849cf9de99677971ad460849e72eb342a56f8140370b0df0a","schema_version":"1.0","event_id":"sha256:c5f7bc2abdeaed1849cf9de99677971ad460849e72eb342a56f8140370b0df0a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:AEWQR74QODPWB4JUO5DOML3NQ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correct Estimation of Higher-Order Spectra: From Theoretical Challenges to Practical Multi-Channel Implementation in SignalSnap","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["eess.SP","quant-ph"],"primary_cat":"physics.data-an","authors_text":"Armin Ghorbanietemad, Daniel H\\\"agele, Fabian Wagner, Markus Sifft","submitted_at":"2025-05-02T12:36:30Z","abstract_excerpt":"Higher-order spectra (Brillinger's polyspectra) offer powerful methods for solving critical problems in signal processing and data analysis. Despite their significant potential, their practical use has remained limited due to unresolved mathematical issues in spectral estimation, including the absence of unbiased and consistent estimators and the high computational cost associated with evaluating multidimensional spectra. Consequently, existing tools frequently produce artifacts, no existing software library correctly implements Brillinger's cumulant-based trispectrum, or fail to scale effecti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.01231","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.01231/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:41:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tMivTYLfD5HMXXMGEQ21UHZhWc9mo6jBcoeghfjNLORfja6nklYNIivk4JsEvXUUDbhYtccGBbxDbHqsFKoyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T14:34:05.005286Z"},"content_sha256":"02d5952ba697040b96f64f72a0a5cd6d92a10d516089c1efc9afa0df4d1db182","schema_version":"1.0","event_id":"sha256:02d5952ba697040b96f64f72a0a5cd6d92a10d516089c1efc9afa0df4d1db182"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AEWQR74QODPWB4JUO5DOML3NQ3/bundle.json","state_url":"https://pith.science/pith/AEWQR74QODPWB4JUO5DOML3NQ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AEWQR74QODPWB4JUO5DOML3NQ3/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":"2026-08-17T14:34:05Z","links":{"resolver":"https://pith.science/pith/AEWQR74QODPWB4JUO5DOML3NQ3","bundle":"https://pith.science/pith/AEWQR74QODPWB4JUO5DOML3NQ3/bundle.json","state":"https://pith.science/pith/AEWQR74QODPWB4JUO5DOML3NQ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AEWQR74QODPWB4JUO5DOML3NQ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AEWQR74QODPWB4JUO5DOML3NQ3","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":"9d998a9f2b3176a6f8ec6d50ee598d6ffac04bfcf1ff559f565e584dabc35901","cross_cats_sorted":["eess.SP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2025-05-02T12:36:30Z","title_canon_sha256":"d8cb00190d277a10459b3da7c905e14216a19b2475a21b2561aee8d233f93c97"},"schema_version":"1.0","source":{"id":"2505.01231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.01231","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"arxiv_version","alias_value":"2505.01231v2","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.01231","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"pith_short_12","alias_value":"AEWQR74QODPW","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"pith_short_16","alias_value":"AEWQR74QODPWB4JU","created_at":"2026-07-05T11:41:41Z"},{"alias_kind":"pith_short_8","alias_value":"AEWQR74Q","created_at":"2026-07-05T11:41:41Z"}],"graph_snapshots":[{"event_id":"sha256:02d5952ba697040b96f64f72a0a5cd6d92a10d516089c1efc9afa0df4d1db182","target":"graph","created_at":"2026-07-05T11:41:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.01231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Higher-order spectra (Brillinger's polyspectra) offer powerful methods for solving critical problems in signal processing and data analysis. Despite their significant potential, their practical use has remained limited due to unresolved mathematical issues in spectral estimation, including the absence of unbiased and consistent estimators and the high computational cost associated with evaluating multidimensional spectra. Consequently, existing tools frequently produce artifacts, no existing software library correctly implements Brillinger's cumulant-based trispectrum, or fail to scale effecti","authors_text":"Armin Ghorbanietemad, Daniel H\\\"agele, Fabian Wagner, Markus Sifft","cross_cats":["eess.SP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2025-05-02T12:36:30Z","title":"Correct Estimation of Higher-Order Spectra: From Theoretical Challenges to Practical Multi-Channel Implementation in SignalSnap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.01231","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:c5f7bc2abdeaed1849cf9de99677971ad460849e72eb342a56f8140370b0df0a","target":"record","created_at":"2026-07-05T11:41:41Z","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":"9d998a9f2b3176a6f8ec6d50ee598d6ffac04bfcf1ff559f565e584dabc35901","cross_cats_sorted":["eess.SP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.data-an","submitted_at":"2025-05-02T12:36:30Z","title_canon_sha256":"d8cb00190d277a10459b3da7c905e14216a19b2475a21b2561aee8d233f93c97"},"schema_version":"1.0","source":{"id":"2505.01231","kind":"arxiv","version":2}},"canonical_sha256":"012d08ff9070df60f1347746e62f6d86d80a70aaa51c2b683115aaf0963ed915","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"012d08ff9070df60f1347746e62f6d86d80a70aaa51c2b683115aaf0963ed915","first_computed_at":"2026-07-05T11:41:41.590460Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:41.590460Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5YoL30nbEPqbObzqqpGSBB5nxTGLHpbOXy8PGm5faBrO/LVWSjfUmkiic1e2AGKAwmWaCL+2JA0lbFE/UjW7AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:41.590917Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.01231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5f7bc2abdeaed1849cf9de99677971ad460849e72eb342a56f8140370b0df0a","sha256:02d5952ba697040b96f64f72a0a5cd6d92a10d516089c1efc9afa0df4d1db182"],"state_sha256":"59e438efd9e637c54fd833b9f7dbf5061c88ef641f89c816fdf13cc692c1617a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wuCn7HdYZv8eruuikCdw+jp6ic9w3GFwIZDJ+dCidiEbjAiR5Jcrw3USp6RTprIg37D5cFXwjfMrwhR+bEpkAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T14:34:05.044281Z","bundle_sha256":"f5b63bb0ee6898430e3f9db5ec65d4032e0ddf3410e1d0118fb003bae273daf2"}}