{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XE63ZKTKLQ52PFK7YKIK2PMFQK","short_pith_number":"pith:XE63ZKTK","canonical_record":{"source":{"id":"2602.21451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-02-25T00:06:56Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"1b80798d44280ac00e60aac85f19756c081be7ad8712b6ebad8abf93bc590b68","abstract_canon_sha256":"5ca09cba5ae8c8095d9f4ddc3307e983c9538626f181aedf67a156edfea1ff5e"},"schema_version":"1.0"},"canonical_sha256":"b93dbcaa6a5c3ba7955fc290ad3d8582ade91817d61d010992ef2d66a67bd9c8","source":{"kind":"arxiv","id":"2602.21451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.21451","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"2602.21451v1","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.21451","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"XE63ZKTKLQ52","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"pith_short_16","alias_value":"XE63ZKTKLQ52PFK7","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"pith_short_8","alias_value":"XE63ZKTK","created_at":"2026-05-21T01:04:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XE63ZKTKLQ52PFK7YKIK2PMFQK","target":"record","payload":{"canonical_record":{"source":{"id":"2602.21451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-02-25T00:06:56Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"1b80798d44280ac00e60aac85f19756c081be7ad8712b6ebad8abf93bc590b68","abstract_canon_sha256":"5ca09cba5ae8c8095d9f4ddc3307e983c9538626f181aedf67a156edfea1ff5e"},"schema_version":"1.0"},"canonical_sha256":"b93dbcaa6a5c3ba7955fc290ad3d8582ade91817d61d010992ef2d66a67bd9c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:23.755498Z","signature_b64":"rp6TVPEk3g7P+Zl1PjOrGxGnFwn+R9sQ+ImmFh8AnmqJnn5USWpVMUu3KGfaU1qEC4FLLqcLaZkDuUMP/5zBAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b93dbcaa6a5c3ba7955fc290ad3d8582ade91817d61d010992ef2d66a67bd9c8","last_reissued_at":"2026-05-21T01:04:23.754434Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:23.754434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2602.21451","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":"2026-05-21T01:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OMRiM8OerDplk7Ib+UMi0jw4p4hPKLbkEHvLJEF8o+AQLFRl+oS0sPUmtPLThnakcdYnkb7f3nTADPpxbsqUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:32:06.110184Z"},"content_sha256":"1d330f45ffa5d24d616d465e7e3117f5decf2cfa0a17f87418cc415aa8f3a33e","schema_version":"1.0","event_id":"sha256:1d330f45ffa5d24d616d465e7e3117f5decf2cfa0a17f87418cc415aa8f3a33e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XE63ZKTKLQ52PFK7YKIK2PMFQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological phase dynamics described by overtone-synthesized classical and quantum Adler equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"quant-ph","authors_text":"Hiroshi Yamaguchi, Motoki Asano","submitted_at":"2026-02-25T00:06:56Z","abstract_excerpt":"The Adler equation is a well-known one-dimensional model describing phase locking and synchronization. Motivated by recent experiments using optomechanical oscillators, we extend the model to include overtone-synthesized sinusoidal coupling with adiabatic temporal modulation. This extension gives rise to unique topological features such as winding-number quantization, discontinuous phase-slip transitions, and hysteretic and non-reciprocal phase dynamics. We further extend the analysis to the quantum regime, where we find a counterintuitive result: the breakdown of winding-number quantization. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.21451","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/2602.21451/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":"2026-05-21T01:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aYueiMGr4ym99bQVpiur6tOI7AobtG6/ofxEuvIMXVSddgch8CosjDfwj8nfhRpoWyCN3onhVhXzSBl4HS6pDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T16:32:06.110754Z"},"content_sha256":"98464dac60f0b806610deb5daf6d59ed905e17982972934ac1b9606581654d5d","schema_version":"1.0","event_id":"sha256:98464dac60f0b806610deb5daf6d59ed905e17982972934ac1b9606581654d5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK/bundle.json","state_url":"https://pith.science/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK/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":"2026-05-28T16:32:06Z","links":{"resolver":"https://pith.science/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK","bundle":"https://pith.science/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK/bundle.json","state":"https://pith.science/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XE63ZKTKLQ52PFK7YKIK2PMFQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XE63ZKTKLQ52PFK7YKIK2PMFQK","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":"5ca09cba5ae8c8095d9f4ddc3307e983c9538626f181aedf67a156edfea1ff5e","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-02-25T00:06:56Z","title_canon_sha256":"1b80798d44280ac00e60aac85f19756c081be7ad8712b6ebad8abf93bc590b68"},"schema_version":"1.0","source":{"id":"2602.21451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.21451","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"2602.21451v1","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.21451","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"XE63ZKTKLQ52","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"pith_short_16","alias_value":"XE63ZKTKLQ52PFK7","created_at":"2026-05-21T01:04:23Z"},{"alias_kind":"pith_short_8","alias_value":"XE63ZKTK","created_at":"2026-05-21T01:04:23Z"}],"graph_snapshots":[{"event_id":"sha256:98464dac60f0b806610deb5daf6d59ed905e17982972934ac1b9606581654d5d","target":"graph","created_at":"2026-05-21T01:04:23Z","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/2602.21451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Adler equation is a well-known one-dimensional model describing phase locking and synchronization. Motivated by recent experiments using optomechanical oscillators, we extend the model to include overtone-synthesized sinusoidal coupling with adiabatic temporal modulation. This extension gives rise to unique topological features such as winding-number quantization, discontinuous phase-slip transitions, and hysteretic and non-reciprocal phase dynamics. We further extend the analysis to the quantum regime, where we find a counterintuitive result: the breakdown of winding-number quantization. ","authors_text":"Hiroshi Yamaguchi, Motoki Asano","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-02-25T00:06:56Z","title":"Topological phase dynamics described by overtone-synthesized classical and quantum Adler equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.21451","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":"sha256:1d330f45ffa5d24d616d465e7e3117f5decf2cfa0a17f87418cc415aa8f3a33e","target":"record","created_at":"2026-05-21T01:04:23Z","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":"5ca09cba5ae8c8095d9f4ddc3307e983c9538626f181aedf67a156edfea1ff5e","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-02-25T00:06:56Z","title_canon_sha256":"1b80798d44280ac00e60aac85f19756c081be7ad8712b6ebad8abf93bc590b68"},"schema_version":"1.0","source":{"id":"2602.21451","kind":"arxiv","version":1}},"canonical_sha256":"b93dbcaa6a5c3ba7955fc290ad3d8582ade91817d61d010992ef2d66a67bd9c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b93dbcaa6a5c3ba7955fc290ad3d8582ade91817d61d010992ef2d66a67bd9c8","first_computed_at":"2026-05-21T01:04:23.754434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:04:23.754434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rp6TVPEk3g7P+Zl1PjOrGxGnFwn+R9sQ+ImmFh8AnmqJnn5USWpVMUu3KGfaU1qEC4FLLqcLaZkDuUMP/5zBAg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:04:23.755498Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.21451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1d330f45ffa5d24d616d465e7e3117f5decf2cfa0a17f87418cc415aa8f3a33e","sha256:98464dac60f0b806610deb5daf6d59ed905e17982972934ac1b9606581654d5d"],"state_sha256":"fa8d3cfa1b6c2f8d759b54e934fbfa9a5e061c11bcd96de851e6a5036d0c2d76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vjjMdFJSsWnWBGvAstqiRPDy3PvqvhbR/Ev/fdkE30mtOH2XQgxZoDd78YAuDfyUSZHAyCWwpl+aLYj1zyBGDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T16:32:06.114493Z","bundle_sha256":"c3817fe6d32d04a0b24ed5fabf9c0dde0a60e9b876f27526b4467522e243a914"}}