{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Z75Q24SSS7MGOTV6VDP7QN35DR","short_pith_number":"pith:Z75Q24SS","canonical_record":{"source":{"id":"1609.09799","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-09-30T16:28:12Z","cross_cats_sorted":["cs.LG","cs.SD"],"title_canon_sha256":"ac537d4d91327f7d8a5469e727f81e89582c69450fb5f0046e4b8a1e2696a520","abstract_canon_sha256":"afe5de2ac7e238e089fe80e6e156ee1da23765f3773d23b84bc6e6595f618c4e"},"schema_version":"1.0"},"canonical_sha256":"cffb0d725297d8674ebea8dff8377d1c612b94cf30a5a7066fbc6a7275c40543","source":{"kind":"arxiv","id":"1609.09799","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09799","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09799v2","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09799","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"pith_short_12","alias_value":"Z75Q24SSS7MG","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z75Q24SSS7MGOTV6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z75Q24SS","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Z75Q24SSS7MGOTV6VDP7QN35DR","target":"record","payload":{"canonical_record":{"source":{"id":"1609.09799","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-09-30T16:28:12Z","cross_cats_sorted":["cs.LG","cs.SD"],"title_canon_sha256":"ac537d4d91327f7d8a5469e727f81e89582c69450fb5f0046e4b8a1e2696a520","abstract_canon_sha256":"afe5de2ac7e238e089fe80e6e156ee1da23765f3773d23b84bc6e6595f618c4e"},"schema_version":"1.0"},"canonical_sha256":"cffb0d725297d8674ebea8dff8377d1c612b94cf30a5a7066fbc6a7275c40543","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:51.668613Z","signature_b64":"G6h0fvPoTeXHvG7bLxMzigyaGaSzAi/hkP0y8Tu7l9wPVWJFD29/nwRZNV9YyRocPnruTFgJ7U2S5ClzkTFeCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cffb0d725297d8674ebea8dff8377d1c612b94cf30a5a7066fbc6a7275c40543","last_reissued_at":"2026-05-18T01:02:51.668003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:51.668003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.09799","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":"2026-05-18T01:02:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bLFJ10c1RNHeZza8XOA2IPIUoA1Km7b8ZyaaQ6/bu/E/minUC1ZUqXyUb7tNd10cUnK5Zq2imXnh/B65amixAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:08:39.967792Z"},"content_sha256":"b0d75f448658955e158ca9bae8ad9835e840ef1eda11d47fdc3950c67ebc447d","schema_version":"1.0","event_id":"sha256:b0d75f448658955e158ca9bae8ad9835e840ef1eda11d47fdc3950c67ebc447d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Z75Q24SSS7MGOTV6VDP7QN35DR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal spectral transportation with application to music transcription","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.SD"],"primary_cat":"stat.ML","authors_text":"C\\'edric F\\'evotte, Nicolas Courty, R\\'emi Flamary, Valentin Emiya","submitted_at":"2016-09-30T16:28:12Z","abstract_excerpt":"Many spectral unmixing methods rely on the non-negative decomposition of spectral data onto a dictionary of spectral templates. In particular, state-of-the-art music transcription systems decompose the spectrogram of the input signal onto a dictionary of representative note spectra. The typical measures of fit used to quantify the adequacy of the decomposition compare the data and template entries frequency-wise. As such, small displacements of energy from a frequency bin to another as well as variations of timber can disproportionally harm the fit. We address these issues by means of optimal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09799","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":""},"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":"2026-05-18T01:02:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sWh6ZSb0tSrLZcNPwWwpagxGTmZd89Ow6buvrsxPgcgFRIok+jPLYfTpSmlaTn3Lbhy/TKrk0WA98tunZbovDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:08:39.968137Z"},"content_sha256":"2d48c823465a95b508e35cc714713933b74c692b4e31064583c8411e7891067d","schema_version":"1.0","event_id":"sha256:2d48c823465a95b508e35cc714713933b74c692b4e31064583c8411e7891067d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z75Q24SSS7MGOTV6VDP7QN35DR/bundle.json","state_url":"https://pith.science/pith/Z75Q24SSS7MGOTV6VDP7QN35DR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z75Q24SSS7MGOTV6VDP7QN35DR/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":"2026-05-28T07:08:39Z","links":{"resolver":"https://pith.science/pith/Z75Q24SSS7MGOTV6VDP7QN35DR","bundle":"https://pith.science/pith/Z75Q24SSS7MGOTV6VDP7QN35DR/bundle.json","state":"https://pith.science/pith/Z75Q24SSS7MGOTV6VDP7QN35DR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z75Q24SSS7MGOTV6VDP7QN35DR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Z75Q24SSS7MGOTV6VDP7QN35DR","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":"afe5de2ac7e238e089fe80e6e156ee1da23765f3773d23b84bc6e6595f618c4e","cross_cats_sorted":["cs.LG","cs.SD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-09-30T16:28:12Z","title_canon_sha256":"ac537d4d91327f7d8a5469e727f81e89582c69450fb5f0046e4b8a1e2696a520"},"schema_version":"1.0","source":{"id":"1609.09799","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09799","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09799v2","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09799","created_at":"2026-05-18T01:02:51Z"},{"alias_kind":"pith_short_12","alias_value":"Z75Q24SSS7MG","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"Z75Q24SSS7MGOTV6","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"Z75Q24SS","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:2d48c823465a95b508e35cc714713933b74c692b4e31064583c8411e7891067d","target":"graph","created_at":"2026-05-18T01:02:51Z","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":"Many spectral unmixing methods rely on the non-negative decomposition of spectral data onto a dictionary of spectral templates. In particular, state-of-the-art music transcription systems decompose the spectrogram of the input signal onto a dictionary of representative note spectra. The typical measures of fit used to quantify the adequacy of the decomposition compare the data and template entries frequency-wise. As such, small displacements of energy from a frequency bin to another as well as variations of timber can disproportionally harm the fit. We address these issues by means of optimal ","authors_text":"C\\'edric F\\'evotte, Nicolas Courty, R\\'emi Flamary, Valentin Emiya","cross_cats":["cs.LG","cs.SD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-09-30T16:28:12Z","title":"Optimal spectral transportation with application to music transcription"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09799","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:b0d75f448658955e158ca9bae8ad9835e840ef1eda11d47fdc3950c67ebc447d","target":"record","created_at":"2026-05-18T01:02:51Z","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":"afe5de2ac7e238e089fe80e6e156ee1da23765f3773d23b84bc6e6595f618c4e","cross_cats_sorted":["cs.LG","cs.SD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-09-30T16:28:12Z","title_canon_sha256":"ac537d4d91327f7d8a5469e727f81e89582c69450fb5f0046e4b8a1e2696a520"},"schema_version":"1.0","source":{"id":"1609.09799","kind":"arxiv","version":2}},"canonical_sha256":"cffb0d725297d8674ebea8dff8377d1c612b94cf30a5a7066fbc6a7275c40543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cffb0d725297d8674ebea8dff8377d1c612b94cf30a5a7066fbc6a7275c40543","first_computed_at":"2026-05-18T01:02:51.668003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:51.668003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G6h0fvPoTeXHvG7bLxMzigyaGaSzAi/hkP0y8Tu7l9wPVWJFD29/nwRZNV9YyRocPnruTFgJ7U2S5ClzkTFeCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:51.668613Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.09799","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b0d75f448658955e158ca9bae8ad9835e840ef1eda11d47fdc3950c67ebc447d","sha256:2d48c823465a95b508e35cc714713933b74c692b4e31064583c8411e7891067d"],"state_sha256":"f389d20aac9211727edbc09e74f53c78b77c3c1493757055ab852120017be826"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q6ldjuviARX/nv2jVroO8+nSFgTU6g49HIeZ8LT54PVyfsDwk1otKE41bK3BzoBksxO6q9E3xDHgkdsuvjt9AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:08:39.970148Z","bundle_sha256":"0937ecb3bad40be4de2c2751178437ec7aac53a3ca98441b08ad929107a1ee95"}}