{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VLWFD5MEYU7BK3VF6CKRXN2L46","short_pith_number":"pith:VLWFD5ME","canonical_record":{"source":{"id":"2607.29086","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2026-07-31T07:13:54Z","cross_cats_sorted":[],"title_canon_sha256":"541faf8b0eb39c6dc78935d255ca898a811a3bbc7ca7131b812387abdaeb1f7c","abstract_canon_sha256":"5ae25c28063eb6ba6d6f636024128fceb5ce1d1cc328e091f4d396258cfca44d"},"schema_version":"1.0"},"canonical_sha256":"aaec51f584c53e156ea5f0951bb74be7bd723828f5e109e9af11413e961b1cc2","source":{"kind":"arxiv","id":"2607.29086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.29086","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"arxiv_version","alias_value":"2607.29086v1","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29086","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"pith_short_12","alias_value":"VLWFD5MEYU7B","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"pith_short_16","alias_value":"VLWFD5MEYU7BK3VF","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"pith_short_8","alias_value":"VLWFD5ME","created_at":"2026-08-03T01:19:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VLWFD5MEYU7BK3VF6CKRXN2L46","target":"record","payload":{"canonical_record":{"source":{"id":"2607.29086","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2026-07-31T07:13:54Z","cross_cats_sorted":[],"title_canon_sha256":"541faf8b0eb39c6dc78935d255ca898a811a3bbc7ca7131b812387abdaeb1f7c","abstract_canon_sha256":"5ae25c28063eb6ba6d6f636024128fceb5ce1d1cc328e091f4d396258cfca44d"},"schema_version":"1.0"},"canonical_sha256":"aaec51f584c53e156ea5f0951bb74be7bd723828f5e109e9af11413e961b1cc2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-03T01:19:05.897862Z","signature_b64":"5P5+5/Q/JdziLlQyoMp5OJzqvPD0tfKWrrRqLbOmI+fG7TbuIYMkf3ezldMngSpVKXtC3OW7exgCnaoJxz7jCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aaec51f584c53e156ea5f0951bb74be7bd723828f5e109e9af11413e961b1cc2","last_reissued_at":"2026-08-03T01:19:05.896374Z","signature_status":"signed_v1","first_computed_at":"2026-08-03T01:19:05.896374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.29086","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":"2026-08-03T01:19:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"As/DSDZIHxUuXIStXUbXl0JuiMmkuYthhowdeN2MyDuJjrOfnNrXOM/w8Ttb7KUXljrHwbo9iTcDf6cHsdLUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:23:01.293158Z"},"content_sha256":"a6464e2d05cdd2f2e838291999e55e2494fa38268120f9b0c4c7e74d3eee3457","schema_version":"1.0","event_id":"sha256:a6464e2d05cdd2f2e838291999e55e2494fa38268120f9b0c4c7e74d3eee3457"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VLWFD5MEYU7BK3VF6CKRXN2L46","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Do Music Foundation Models Embed Pitch in Helical Structure?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.SD","authors_text":"Hayato Yagi, Keitaro Tanaka, Rin Sato, Shigeo Morishima, Shinnosuke Takamichi","submitted_at":"2026-07-31T07:13:54Z","abstract_excerpt":"This study analyzes the intermediate representations of music foundation models (MFMs) and reports the geometric structures used to represent pitch information. By inputting isolated musical notes into trained MFMs and analyzing their principal components, we reveal that the representations form a helical structure reflecting the octave periodicity of pitch. Furthermore, we show that the clarity and geometry of this helical structure vary not only across models but also with the acoustic properties of the input signals. Our analysis provides a novel approach for clarifying the internal mechani"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29086","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/2607.29086/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":"2026-08-03T01:19:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JLwNTi82jRWM5UQ1JYX7EGEhwEWJPwKfBS7xeLe25/HszOal4DhLU/leVpAtXkSOLTClTKV7jUX6wtuViPMXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T04:23:01.293729Z"},"content_sha256":"9da7e62cf34d41f9b9e0a34265e635eedad84297913790d112fc257b4def5cf8","schema_version":"1.0","event_id":"sha256:9da7e62cf34d41f9b9e0a34265e635eedad84297913790d112fc257b4def5cf8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLWFD5MEYU7BK3VF6CKRXN2L46/bundle.json","state_url":"https://pith.science/pith/VLWFD5MEYU7BK3VF6CKRXN2L46/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLWFD5MEYU7BK3VF6CKRXN2L46/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":"2026-08-04T04:23:01Z","links":{"resolver":"https://pith.science/pith/VLWFD5MEYU7BK3VF6CKRXN2L46","bundle":"https://pith.science/pith/VLWFD5MEYU7BK3VF6CKRXN2L46/bundle.json","state":"https://pith.science/pith/VLWFD5MEYU7BK3VF6CKRXN2L46/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLWFD5MEYU7BK3VF6CKRXN2L46/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VLWFD5MEYU7BK3VF6CKRXN2L46","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":"5ae25c28063eb6ba6d6f636024128fceb5ce1d1cc328e091f4d396258cfca44d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2026-07-31T07:13:54Z","title_canon_sha256":"541faf8b0eb39c6dc78935d255ca898a811a3bbc7ca7131b812387abdaeb1f7c"},"schema_version":"1.0","source":{"id":"2607.29086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.29086","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"arxiv_version","alias_value":"2607.29086v1","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.29086","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"pith_short_12","alias_value":"VLWFD5MEYU7B","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"pith_short_16","alias_value":"VLWFD5MEYU7BK3VF","created_at":"2026-08-03T01:19:05Z"},{"alias_kind":"pith_short_8","alias_value":"VLWFD5ME","created_at":"2026-08-03T01:19:05Z"}],"graph_snapshots":[{"event_id":"sha256:9da7e62cf34d41f9b9e0a34265e635eedad84297913790d112fc257b4def5cf8","target":"graph","created_at":"2026-08-03T01:19:05Z","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/2607.29086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This study analyzes the intermediate representations of music foundation models (MFMs) and reports the geometric structures used to represent pitch information. By inputting isolated musical notes into trained MFMs and analyzing their principal components, we reveal that the representations form a helical structure reflecting the octave periodicity of pitch. Furthermore, we show that the clarity and geometry of this helical structure vary not only across models but also with the acoustic properties of the input signals. Our analysis provides a novel approach for clarifying the internal mechani","authors_text":"Hayato Yagi, Keitaro Tanaka, Rin Sato, Shigeo Morishima, Shinnosuke Takamichi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2026-07-31T07:13:54Z","title":"Do Music Foundation Models Embed Pitch in Helical Structure?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.29086","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:a6464e2d05cdd2f2e838291999e55e2494fa38268120f9b0c4c7e74d3eee3457","target":"record","created_at":"2026-08-03T01:19:05Z","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":"5ae25c28063eb6ba6d6f636024128fceb5ce1d1cc328e091f4d396258cfca44d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2026-07-31T07:13:54Z","title_canon_sha256":"541faf8b0eb39c6dc78935d255ca898a811a3bbc7ca7131b812387abdaeb1f7c"},"schema_version":"1.0","source":{"id":"2607.29086","kind":"arxiv","version":1}},"canonical_sha256":"aaec51f584c53e156ea5f0951bb74be7bd723828f5e109e9af11413e961b1cc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaec51f584c53e156ea5f0951bb74be7bd723828f5e109e9af11413e961b1cc2","first_computed_at":"2026-08-03T01:19:05.896374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-03T01:19:05.896374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5P5+5/Q/JdziLlQyoMp5OJzqvPD0tfKWrrRqLbOmI+fG7TbuIYMkf3ezldMngSpVKXtC3OW7exgCnaoJxz7jCQ==","signature_status":"signed_v1","signed_at":"2026-08-03T01:19:05.897862Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.29086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6464e2d05cdd2f2e838291999e55e2494fa38268120f9b0c4c7e74d3eee3457","sha256:9da7e62cf34d41f9b9e0a34265e635eedad84297913790d112fc257b4def5cf8"],"state_sha256":"c5404b4f7a38d8b1476989119d4eaf1264aac08deb5bd195752750cfd4e0d6e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QjcHfrAd0RHXl00Peksyls+kIc9ziLocpC28pl9+mns6Ym1z0LYMk54lcbvhI8ysA/+v/42DOV5N2pwUZQatCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T04:23:01.297375Z","bundle_sha256":"654726bd097b5a3c3a9bd67450c656d85f7a1f7800e617d0aab6e9111dfd8c9d"}}