{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XA26U727BJAYITRJFPWAYHY72L","short_pith_number":"pith:XA26U727","canonical_record":{"source":{"id":"2606.24035","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2026-06-23T00:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"414a5fa0ff264e98c2ce2edcc55118bf8b4f29432f0c0d59181dcb012e20fcfd","abstract_canon_sha256":"cb5441913d6cc7f62741936b525a6ba3ca8ea71fc6601486ae14d11f83b5a1ab"},"schema_version":"1.0"},"canonical_sha256":"b835ea7f5f0a41844e292bec0c1f1fd2c1423826d902f6d4a3e921d856a2d13c","source":{"kind":"arxiv","id":"2606.24035","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24035","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24035v1","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24035","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"XA26U727BJAY","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"pith_short_16","alias_value":"XA26U727BJAYITRJ","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"pith_short_8","alias_value":"XA26U727","created_at":"2026-06-24T01:14:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XA26U727BJAYITRJFPWAYHY72L","target":"record","payload":{"canonical_record":{"source":{"id":"2606.24035","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2026-06-23T00:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"414a5fa0ff264e98c2ce2edcc55118bf8b4f29432f0c0d59181dcb012e20fcfd","abstract_canon_sha256":"cb5441913d6cc7f62741936b525a6ba3ca8ea71fc6601486ae14d11f83b5a1ab"},"schema_version":"1.0"},"canonical_sha256":"b835ea7f5f0a41844e292bec0c1f1fd2c1423826d902f6d4a3e921d856a2d13c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:14:38.672228Z","signature_b64":"Sa7GpAorN286MGOJSsYiqP1ndVbezdSRNqYk2iSIDOZYDjOIdWg1z8ItJHYxz0RmZ/y80KofVny9n1dUfgklAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b835ea7f5f0a41844e292bec0c1f1fd2c1423826d902f6d4a3e921d856a2d13c","last_reissued_at":"2026-06-24T01:14:38.671847Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:14:38.671847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.24035","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":"2026-06-24T01:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XpQQiZNMZVnMOOA4U1+UKfbG02NDzktCRtmDI9UnLk/MWqDa1tI2CoNlhJDpu+SA4k/f5AkR9C60DhRm3fc2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T17:48:13.586176Z"},"content_sha256":"599a9298ceabbc2f699ced38ba2ac9da9d29bc6ffe7e3526b80c54729e34b83d","schema_version":"1.0","event_id":"sha256:599a9298ceabbc2f699ced38ba2ac9da9d29bc6ffe7e3526b80c54729e34b83d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XA26U727BJAYITRJFPWAYHY72L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Variational-Flow Analysis of StoRM under Noise-Power Mismatch","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"eess.AS","authors_text":"Shuubham Ojha","submitted_at":"2026-06-23T00:35:55Z","abstract_excerpt":"Diffusion-based speech enhancement architectures that pair a deterministic predictor with a learned score network, exhibit a sharp non-smooth transition (``kink'') in the SI-SDR degradation curve at the training-time noise amplitude. We give a pathwise variational-flow analysis that localizes this non-smoothness to the predictor stage. The central identity is an exact factorization of the parametric sensitivity, $\\partial \\sig^{(M)} / \\partial M = K(M) \\cdot \\partial C_M / \\partial M$, where $K(M)$ is a continuous matrix-valued functional of the score Jacobian along the reverse trajectory and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24035","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.24035/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":"2026-06-24T01:14:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2oZlVLA9uxMim1zQCuk46BcE781+j6Qy9cYr+UihtMtmORjnCOjEb5s0+cYlu+XlUA7wy/P2VZEggHWJeZx5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-01T17:48:13.586690Z"},"content_sha256":"8ea16ca5648c696c49fbb5ec08be84a98945565a189e2f3c44a6fbedd74209e0","schema_version":"1.0","event_id":"sha256:8ea16ca5648c696c49fbb5ec08be84a98945565a189e2f3c44a6fbedd74209e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XA26U727BJAYITRJFPWAYHY72L/bundle.json","state_url":"https://pith.science/pith/XA26U727BJAYITRJFPWAYHY72L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XA26U727BJAYITRJFPWAYHY72L/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":"2026-08-01T17:48:13Z","links":{"resolver":"https://pith.science/pith/XA26U727BJAYITRJFPWAYHY72L","bundle":"https://pith.science/pith/XA26U727BJAYITRJFPWAYHY72L/bundle.json","state":"https://pith.science/pith/XA26U727BJAYITRJFPWAYHY72L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XA26U727BJAYITRJFPWAYHY72L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XA26U727BJAYITRJFPWAYHY72L","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":"cb5441913d6cc7f62741936b525a6ba3ca8ea71fc6601486ae14d11f83b5a1ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2026-06-23T00:35:55Z","title_canon_sha256":"414a5fa0ff264e98c2ce2edcc55118bf8b4f29432f0c0d59181dcb012e20fcfd"},"schema_version":"1.0","source":{"id":"2606.24035","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24035","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24035v1","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24035","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"pith_short_12","alias_value":"XA26U727BJAY","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"pith_short_16","alias_value":"XA26U727BJAYITRJ","created_at":"2026-06-24T01:14:38Z"},{"alias_kind":"pith_short_8","alias_value":"XA26U727","created_at":"2026-06-24T01:14:38Z"}],"graph_snapshots":[{"event_id":"sha256:8ea16ca5648c696c49fbb5ec08be84a98945565a189e2f3c44a6fbedd74209e0","target":"graph","created_at":"2026-06-24T01:14:38Z","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/2606.24035/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Diffusion-based speech enhancement architectures that pair a deterministic predictor with a learned score network, exhibit a sharp non-smooth transition (``kink'') in the SI-SDR degradation curve at the training-time noise amplitude. We give a pathwise variational-flow analysis that localizes this non-smoothness to the predictor stage. The central identity is an exact factorization of the parametric sensitivity, $\\partial \\sig^{(M)} / \\partial M = K(M) \\cdot \\partial C_M / \\partial M$, where $K(M)$ is a continuous matrix-valued functional of the score Jacobian along the reverse trajectory and ","authors_text":"Shuubham Ojha","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2026-06-23T00:35:55Z","title":"A Variational-Flow Analysis of StoRM under Noise-Power Mismatch"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24035","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":"sha256:599a9298ceabbc2f699ced38ba2ac9da9d29bc6ffe7e3526b80c54729e34b83d","target":"record","created_at":"2026-06-24T01:14:38Z","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":"cb5441913d6cc7f62741936b525a6ba3ca8ea71fc6601486ae14d11f83b5a1ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"eess.AS","submitted_at":"2026-06-23T00:35:55Z","title_canon_sha256":"414a5fa0ff264e98c2ce2edcc55118bf8b4f29432f0c0d59181dcb012e20fcfd"},"schema_version":"1.0","source":{"id":"2606.24035","kind":"arxiv","version":1}},"canonical_sha256":"b835ea7f5f0a41844e292bec0c1f1fd2c1423826d902f6d4a3e921d856a2d13c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b835ea7f5f0a41844e292bec0c1f1fd2c1423826d902f6d4a3e921d856a2d13c","first_computed_at":"2026-06-24T01:14:38.671847Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:14:38.671847Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sa7GpAorN286MGOJSsYiqP1ndVbezdSRNqYk2iSIDOZYDjOIdWg1z8ItJHYxz0RmZ/y80KofVny9n1dUfgklAg==","signature_status":"signed_v1","signed_at":"2026-06-24T01:14:38.672228Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24035","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:599a9298ceabbc2f699ced38ba2ac9da9d29bc6ffe7e3526b80c54729e34b83d","sha256:8ea16ca5648c696c49fbb5ec08be84a98945565a189e2f3c44a6fbedd74209e0"],"state_sha256":"dd81e7cfde72bb1711ca6c69c9e0ba7ec66eb198a54a74a97fc24f6dee44d485"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lS6oTZ+jRmBUvX5/B13yQ7XT6SxczcWiDF5LRnX00kslc0Wta4a4mfkKKcQbCwgEGxv0dK8ALBC4CUY6iR/aAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-01T17:48:13.591250Z","bundle_sha256":"005ffaaa69634aec2d60fef744cbb49d2bff6d48f3a2a1c7bbf12cfc4ccd4a69"}}