{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:FNWE3ICLTWL7XCQRXQ62WWZUKG","short_pith_number":"pith:FNWE3ICL","canonical_record":{"source":{"id":"1509.00334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2015-09-01T15:04:16Z","cross_cats_sorted":[],"title_canon_sha256":"bf7db7743e4a4d99eb68e931eca961688bab213eb376fa9d0bcf333bc15eb701","abstract_canon_sha256":"4eab3083094604bfdaf15b39e1e074f5eb38fb611c1490ca89598a73f5804f8e"},"schema_version":"1.0"},"canonical_sha256":"2b6c4da04b9d97fb8a11bc3dab5b3451924097c19a038fbf36575fffb56a5a2a","source":{"kind":"arxiv","id":"1509.00334","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00334","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00334v1","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00334","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"FNWE3ICLTWL7","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FNWE3ICLTWL7XCQR","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FNWE3ICL","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:FNWE3ICLTWL7XCQRXQ62WWZUKG","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00334","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2015-09-01T15:04:16Z","cross_cats_sorted":[],"title_canon_sha256":"bf7db7743e4a4d99eb68e931eca961688bab213eb376fa9d0bcf333bc15eb701","abstract_canon_sha256":"4eab3083094604bfdaf15b39e1e074f5eb38fb611c1490ca89598a73f5804f8e"},"schema_version":"1.0"},"canonical_sha256":"2b6c4da04b9d97fb8a11bc3dab5b3451924097c19a038fbf36575fffb56a5a2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:14.383596Z","signature_b64":"cXYbBsJ5RZZ+fyAOSzeJIuh3/2tm3KpHHp6JgWxwtP+ULxJUobFb/FuwR8iCet/dr8ylN7VixlEbLKbeUDJwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b6c4da04b9d97fb8a11bc3dab5b3451924097c19a038fbf36575fffb56a5a2a","last_reissued_at":"2026-05-18T01:34:14.382890Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:14.382890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00334","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":"2026-05-18T01:34:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fZkGP6mJGATcuoYKv3wWRmi48pnCL/6z5gnG1fBPkxklKpnSUI/O/FzU6NS3Whl74S9m4KUcWvS5lTzfxW+0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:56:17.096752Z"},"content_sha256":"d2eae082faf93f23737e3dd37e21430e09fdbaf5239decc1e2531005f2c911db","schema_version":"1.0","event_id":"sha256:d2eae082faf93f23737e3dd37e21430e09fdbaf5239decc1e2531005f2c911db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:FNWE3ICLTWL7XCQRXQ62WWZUKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transform\\'ee en scattering sur la spirale temps-chroma-octave","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.SD","authors_text":"St\\'ephane Mallat, Vincent Lostanlen","submitted_at":"2015-09-01T15:04:16Z","abstract_excerpt":"We introduce a scattering representation for the analysis and classification of sounds. It is locally translation-invariant, stable to deformations in time and frequency, and has the ability to capture harmonic structures. The scattering representation can be interpreted as a convolutional neural network which cascades a wavelet transform in time and along a harmonic spiral. We study its application for the analysis of the deformations of the source-filter model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00334","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":"2026-05-18T01:34:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mQO+Jf8Gz78jX9gcIhMgpkJrAe+HoEdfUhac9q/hFSUj1GhgYjbo9bx3g9vjFG74h8MyYewhgA6R8n+oZxHSDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T10:56:17.097332Z"},"content_sha256":"9d3db7d6a526beff7a3a0f667fe93f0bf026618e86fb4e748bbe1a633cb7afd6","schema_version":"1.0","event_id":"sha256:9d3db7d6a526beff7a3a0f667fe93f0bf026618e86fb4e748bbe1a633cb7afd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG/bundle.json","state_url":"https://pith.science/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG/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":"2026-05-30T10:56:17Z","links":{"resolver":"https://pith.science/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG","bundle":"https://pith.science/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG/bundle.json","state":"https://pith.science/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FNWE3ICLTWL7XCQRXQ62WWZUKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FNWE3ICLTWL7XCQRXQ62WWZUKG","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":"4eab3083094604bfdaf15b39e1e074f5eb38fb611c1490ca89598a73f5804f8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2015-09-01T15:04:16Z","title_canon_sha256":"bf7db7743e4a4d99eb68e931eca961688bab213eb376fa9d0bcf333bc15eb701"},"schema_version":"1.0","source":{"id":"1509.00334","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00334","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00334v1","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00334","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"FNWE3ICLTWL7","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FNWE3ICLTWL7XCQR","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FNWE3ICL","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:9d3db7d6a526beff7a3a0f667fe93f0bf026618e86fb4e748bbe1a633cb7afd6","target":"graph","created_at":"2026-05-18T01:34:14Z","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 introduce a scattering representation for the analysis and classification of sounds. It is locally translation-invariant, stable to deformations in time and frequency, and has the ability to capture harmonic structures. The scattering representation can be interpreted as a convolutional neural network which cascades a wavelet transform in time and along a harmonic spiral. We study its application for the analysis of the deformations of the source-filter model.","authors_text":"St\\'ephane Mallat, Vincent Lostanlen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2015-09-01T15:04:16Z","title":"Transform\\'ee en scattering sur la spirale temps-chroma-octave"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00334","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:d2eae082faf93f23737e3dd37e21430e09fdbaf5239decc1e2531005f2c911db","target":"record","created_at":"2026-05-18T01:34:14Z","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":"4eab3083094604bfdaf15b39e1e074f5eb38fb611c1490ca89598a73f5804f8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SD","submitted_at":"2015-09-01T15:04:16Z","title_canon_sha256":"bf7db7743e4a4d99eb68e931eca961688bab213eb376fa9d0bcf333bc15eb701"},"schema_version":"1.0","source":{"id":"1509.00334","kind":"arxiv","version":1}},"canonical_sha256":"2b6c4da04b9d97fb8a11bc3dab5b3451924097c19a038fbf36575fffb56a5a2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b6c4da04b9d97fb8a11bc3dab5b3451924097c19a038fbf36575fffb56a5a2a","first_computed_at":"2026-05-18T01:34:14.382890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:14.382890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cXYbBsJ5RZZ+fyAOSzeJIuh3/2tm3KpHHp6JgWxwtP+ULxJUobFb/FuwR8iCet/dr8ylN7VixlEbLKbeUDJwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:14.383596Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00334","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2eae082faf93f23737e3dd37e21430e09fdbaf5239decc1e2531005f2c911db","sha256:9d3db7d6a526beff7a3a0f667fe93f0bf026618e86fb4e748bbe1a633cb7afd6"],"state_sha256":"2221a6e22a569fdde335e25d5c6c631d4fac5f40bc9c04e59bebc0efc96173eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Psr8FEmv1P3oW3UPptBwksWTIC0Mv+y8F92t+LoIFzxXqQmoP/ACbWV37ltrDTWDAJ+YcI4r2RrGHf/+DNVPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T10:56:17.100881Z","bundle_sha256":"b878180a7de70293836ded2abad0b7d77b91fbbdb4c079690ae4fb320fd8ceb5"}}