{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:H63BECZADVBQ3QB5WCPOXGGSFZ","merge_version":"pith-open-graph-merge-v1","event_count":6,"valid_event_count":6,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"88678721aff3527bc5bd8a6b2a7e3e76a583b9e99311abc57a625caa860be973","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2026-07-17T13:38:09Z","title_canon_sha256":"2120a6dde42b8830cae7da770511cb5d9cca3a1915b439508e513604bbfd987f"},"schema_version":"1.0","source":{"id":"2607.15953","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.15953","created_at":"2026-07-20T01:19:19Z"},{"alias_kind":"arxiv_version","alias_value":"2607.15953v1","created_at":"2026-07-20T01:19:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.15953","created_at":"2026-07-20T01:19:19Z"},{"alias_kind":"pith_short_12","alias_value":"H63BECZADVBQ","created_at":"2026-07-20T01:19:19Z"},{"alias_kind":"pith_short_16","alias_value":"H63BECZADVBQ3QB5","created_at":"2026-07-20T01:19:19Z"},{"alias_kind":"pith_short_8","alias_value":"H63BECZA","created_at":"2026-07-20T01:19:19Z"}],"graph_snapshots":[{"event_id":"sha256:2cf8417b1dec79dea9f7e468a487569af344313d91cebbbde63625a85ea1cb66","target":"graph","created_at":"2026-07-20T01:19:19Z","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/2607.15953/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper revisits the continuous wavelet transform framework by establishing a rigorous physical and dimensional formulation of the Cauchy-Paul mother wavelet, tailored specifically for intermittent, non-sinusoidal electrophysiological oscillations. Departing from conventional, purely mathematical definitions, we introduce a characteristic time scale $\\tau$ into the frequency-domain formulation of the mother wavelet. This parameter ensures strict dimensional consistency by maintaining dimensionless functional arguments, thereby confining the physical dimension solely to the multiplicative no","authors_text":"F. Argoul, J. Taillard, P. Argoul","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2026-07-17T13:38:09Z","title":"Cauchy-Paul wavelet transforms revisited: A framework for intermittent non-sinusoidal oscillations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.15953","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":"sha256:34bef6bbe6db33f0ba6f15b3e30fe0154525f8ed6f04687639e804f65e591f84","target":"record","created_at":"2026-07-20T01:19:19Z","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":"88678721aff3527bc5bd8a6b2a7e3e76a583b9e99311abc57a625caa860be973","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2026-07-17T13:38:09Z","title_canon_sha256":"2120a6dde42b8830cae7da770511cb5d9cca3a1915b439508e513604bbfd987f"},"schema_version":"1.0","source":{"id":"2607.15953","kind":"arxiv","version":1}},"canonical_sha256":"3fb6120b201d430dc03db09eeb98d22e4b57751504dcd2abe52c90b0004c2795","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fb6120b201d430dc03db09eeb98d22e4b57751504dcd2abe52c90b0004c2795","first_computed_at":"2026-07-20T01:19:19.962792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-20T01:19:19.962792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"deXdvMNFAxIRtllrQBwPsejzntr24d1Vasx0crLS6KcoCCppdJE/kV94LPCOCtdw4VB1jtJEEV9cSXizb0ifCw==","signature_status":"signed_v1","signed_at":"2026-07-20T01:19:19.963659Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.15953","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:0f2d0fb912499ea7a1337ec82691480b6ed25e9add6597e5f389e31391db403d","sha256:b8c676142c501ead8de8a578515f8a2471a9868b77841958b29dc7189165d012","sha256:da09293583ce6cc04994ea1d534aa112d439ddaba62723395204b0af38e62eca","sha256:eba36e31bbe6bdb3cec744fac71dfaa12058e79adc1691bbb8759cd3e40a3cd0"]}],"invalid_events":[],"applied_event_ids":["sha256:34bef6bbe6db33f0ba6f15b3e30fe0154525f8ed6f04687639e804f65e591f84","sha256:2cf8417b1dec79dea9f7e468a487569af344313d91cebbbde63625a85ea1cb66"],"state_sha256":"8c49dbc46fe591ef88919eb04fa067fd0f14fd3a7fec2b869a78de9cce9dd511"}