{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XPHMGSD3WOJ4Q4B3AQMRI57FVC","short_pith_number":"pith:XPHMGSD3","canonical_record":{"source":{"id":"2410.18151","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2024-10-23T03:11:01Z","cross_cats_sorted":["cs.LG","cs.MM","eess.AS"],"title_canon_sha256":"965d42fc62c950f1dc2f0a8c8ba60a7de8c1902c4703d965c9b068730c1fdfd6","abstract_canon_sha256":"3c738290c4c882539cc758103fd60cd3c211ff2c06edc4ed1985e15e96722339"},"schema_version":"1.0"},"canonical_sha256":"bbcec3487bb393c8703b04191477e5a8a755127d770e49603b2c39f538d52168","source":{"kind":"arxiv","id":"2410.18151","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.18151","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"2410.18151v2","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.18151","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"XPHMGSD3WOJ4","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"pith_short_16","alias_value":"XPHMGSD3WOJ4Q4B3","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"pith_short_8","alias_value":"XPHMGSD3","created_at":"2026-05-22T02:04:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XPHMGSD3WOJ4Q4B3AQMRI57FVC","target":"record","payload":{"canonical_record":{"source":{"id":"2410.18151","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2024-10-23T03:11:01Z","cross_cats_sorted":["cs.LG","cs.MM","eess.AS"],"title_canon_sha256":"965d42fc62c950f1dc2f0a8c8ba60a7de8c1902c4703d965c9b068730c1fdfd6","abstract_canon_sha256":"3c738290c4c882539cc758103fd60cd3c211ff2c06edc4ed1985e15e96722339"},"schema_version":"1.0"},"canonical_sha256":"bbcec3487bb393c8703b04191477e5a8a755127d770e49603b2c39f538d52168","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T02:04:35.332538Z","signature_b64":"Y3ja2up3A/LbfP3wVKmb8F5hRTkvNXlWU6UVC7vOrYtCKSQuk++qhNYEiH6mqka8GY/nYjqfp9lBKg7S15AdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbcec3487bb393c8703b04191477e5a8a755127d770e49603b2c39f538d52168","last_reissued_at":"2026-05-22T02:04:35.331661Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T02:04:35.331661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.18151","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":"2026-05-22T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mD8ZR8AJIl9owUk+UNPYSwO3svEr7rDhZ4PCXrCFL0zaEsal789pq9DZVQTrBUVfOHIwGbUf/afjKL0Hr5QOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:57:04.862767Z"},"content_sha256":"bcaaf863affa1f039bdd6a8e7da3af7328cdbed99b80eac79c09bc7685199aae","schema_version":"1.0","event_id":"sha256:bcaaf863affa1f039bdd6a8e7da3af7328cdbed99b80eac79c09bc7685199aae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XPHMGSD3WOJ4Q4B3AQMRI57FVC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Music102: An $D_{12}$-equivariant transformer for chord progression accompaniment","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","cs.MM","eess.AS"],"primary_cat":"cs.SD","authors_text":"Weiliang Luo","submitted_at":"2024-10-23T03:11:01Z","abstract_excerpt":"We present Music102, an advanced model aimed at enhancing chord progression accompaniment through a $D_{12}$-equivariant transformer. Inspired by group theory and symbolic music structures, Music102 leverages musical symmetry--such as transposition and reflection operations--integrating these properties into the transformer architecture. By encoding prior music knowledge, the model maintains equivariance across both melody and chord sequences. The POP909 dataset was employed to train and evaluate Music102, revealing significant improvements over the non-equivariant Music101 prototype Music101 "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.18151","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.18151/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":"2026-05-22T02:04:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gl6cUMt+aH1W07CSbsaNYNTusp0yQVa8yXnqWhJKsLupT3IP+Ki8ka8KRU/nL6484PxVwZEK2eeWELkI8aPiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:57:04.863138Z"},"content_sha256":"cee9f5b2f885b6c4c872aed918f1c402bf02d449551719e78f4f891a9b282c77","schema_version":"1.0","event_id":"sha256:cee9f5b2f885b6c4c872aed918f1c402bf02d449551719e78f4f891a9b282c77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC/bundle.json","state_url":"https://pith.science/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC/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":"2026-06-01T21:57:04Z","links":{"resolver":"https://pith.science/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC","bundle":"https://pith.science/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC/bundle.json","state":"https://pith.science/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPHMGSD3WOJ4Q4B3AQMRI57FVC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XPHMGSD3WOJ4Q4B3AQMRI57FVC","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":"3c738290c4c882539cc758103fd60cd3c211ff2c06edc4ed1985e15e96722339","cross_cats_sorted":["cs.LG","cs.MM","eess.AS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2024-10-23T03:11:01Z","title_canon_sha256":"965d42fc62c950f1dc2f0a8c8ba60a7de8c1902c4703d965c9b068730c1fdfd6"},"schema_version":"1.0","source":{"id":"2410.18151","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.18151","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"arxiv_version","alias_value":"2410.18151v2","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.18151","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"pith_short_12","alias_value":"XPHMGSD3WOJ4","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"pith_short_16","alias_value":"XPHMGSD3WOJ4Q4B3","created_at":"2026-05-22T02:04:35Z"},{"alias_kind":"pith_short_8","alias_value":"XPHMGSD3","created_at":"2026-05-22T02:04:35Z"}],"graph_snapshots":[{"event_id":"sha256:cee9f5b2f885b6c4c872aed918f1c402bf02d449551719e78f4f891a9b282c77","target":"graph","created_at":"2026-05-22T02:04:35Z","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/2410.18151/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present Music102, an advanced model aimed at enhancing chord progression accompaniment through a $D_{12}$-equivariant transformer. Inspired by group theory and symbolic music structures, Music102 leverages musical symmetry--such as transposition and reflection operations--integrating these properties into the transformer architecture. By encoding prior music knowledge, the model maintains equivariance across both melody and chord sequences. The POP909 dataset was employed to train and evaluate Music102, revealing significant improvements over the non-equivariant Music101 prototype Music101 ","authors_text":"Weiliang Luo","cross_cats":["cs.LG","cs.MM","eess.AS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2024-10-23T03:11:01Z","title":"Music102: An $D_{12}$-equivariant transformer for chord progression accompaniment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.18151","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:bcaaf863affa1f039bdd6a8e7da3af7328cdbed99b80eac79c09bc7685199aae","target":"record","created_at":"2026-05-22T02:04:35Z","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":"3c738290c4c882539cc758103fd60cd3c211ff2c06edc4ed1985e15e96722339","cross_cats_sorted":["cs.LG","cs.MM","eess.AS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.SD","submitted_at":"2024-10-23T03:11:01Z","title_canon_sha256":"965d42fc62c950f1dc2f0a8c8ba60a7de8c1902c4703d965c9b068730c1fdfd6"},"schema_version":"1.0","source":{"id":"2410.18151","kind":"arxiv","version":2}},"canonical_sha256":"bbcec3487bb393c8703b04191477e5a8a755127d770e49603b2c39f538d52168","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbcec3487bb393c8703b04191477e5a8a755127d770e49603b2c39f538d52168","first_computed_at":"2026-05-22T02:04:35.331661Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T02:04:35.331661Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y3ja2up3A/LbfP3wVKmb8F5hRTkvNXlWU6UVC7vOrYtCKSQuk++qhNYEiH6mqka8GY/nYjqfp9lBKg7S15AdDQ==","signature_status":"signed_v1","signed_at":"2026-05-22T02:04:35.332538Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.18151","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcaaf863affa1f039bdd6a8e7da3af7328cdbed99b80eac79c09bc7685199aae","sha256:cee9f5b2f885b6c4c872aed918f1c402bf02d449551719e78f4f891a9b282c77"],"state_sha256":"f8556ccfbc30ea138f300657e005c8115af4d98b22d4da769223d6595b2cf6fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"76wm25wKvhxR2wRHRYXXyqQgpYI7ITVDSmZtuHJbLMB3t2MnQANJgZcoYG66uMD+67WY1U4GGk7QJdpqMBezCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:57:04.865223Z","bundle_sha256":"4ffafc71ee6a1672198fb7117e8e48b2c35b48415ae2a56a19eb2a610956d408"}}