{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XPIM73PGG4HY72NTAORQWOLRHP","short_pith_number":"pith:XPIM73PG","canonical_record":{"source":{"id":"1908.03567","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-09T05:46:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e2c27363e9f5d144f5aa30f4108f8e645ff58aa206448a90079154fa9f7fd55d","abstract_canon_sha256":"c3bb4b6acbbdc5b00c4f9d8ad30ea7a7f5bfb5db819925df1f9e5c3c1dea6992"},"schema_version":"1.0"},"canonical_sha256":"bbd0cfede6370f8fe9b303a30b39713bc6fedba013bf72ef5c56a53cc5547dd5","source":{"kind":"arxiv","id":"1908.03567","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03567","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03567v3","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03567","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"XPIM73PGG4HY","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"pith_short_16","alias_value":"XPIM73PGG4HY72NT","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"pith_short_8","alias_value":"XPIM73PG","created_at":"2026-07-05T00:50:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XPIM73PGG4HY72NTAORQWOLRHP","target":"record","payload":{"canonical_record":{"source":{"id":"1908.03567","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-09T05:46:25Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"e2c27363e9f5d144f5aa30f4108f8e645ff58aa206448a90079154fa9f7fd55d","abstract_canon_sha256":"c3bb4b6acbbdc5b00c4f9d8ad30ea7a7f5bfb5db819925df1f9e5c3c1dea6992"},"schema_version":"1.0"},"canonical_sha256":"bbd0cfede6370f8fe9b303a30b39713bc6fedba013bf72ef5c56a53cc5547dd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:50:52.481515Z","signature_b64":"iRCfKeB5akT7pWBjpa4u7KVGRhd883zUmuw1tFBAmbMjGi6l68u0Tn2LQBMIL6hzcqB2b+2KmUWufgPywthhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbd0cfede6370f8fe9b303a30b39713bc6fedba013bf72ef5c56a53cc5547dd5","last_reissued_at":"2026-07-05T00:50:52.481000Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:50:52.481000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.03567","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUJnNrn0frUqsRGcU/tWwKNsEyHnbiRDXYMl9NvS2vlf5u9FhXDuGAA/h9lnV9X5Uvh3mzMY1fqHG6oOKk8WCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:41:07.239538Z"},"content_sha256":"fb3b846d4081931eb7aa025c877f094705dd7597618a263b4697da094839cbf8","schema_version":"1.0","event_id":"sha256:fb3b846d4081931eb7aa025c877f094705dd7597618a263b4697da094839cbf8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XPIM73PGG4HY72NTAORQWOLRHP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden Nambu mechanics II: Quantum/semiclassical dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Atsushi Horikoshi","submitted_at":"2019-08-09T05:46:25Z","abstract_excerpt":"Nambu mechanics is a generalized Hamiltonian dynamics characterized by an extended phase space and multiple Hamiltonians. In a previous paper [Prog. Theor. Exp. Phys. 2013, 073A01 (2013)] we revealed that the Nambu mechanical structure is hidden in Hamiltonian dynamics, that is, the classical time evolution of variables including redundant degrees of freedom can be formulated as Nambu mechanics. In the present paper we show that the Nambu mechanical structure is also hidden in some quantum or semiclassical dynamics, that is, in some cases the quantum or semiclassical time evolution of expectat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03567","kind":"arxiv","version":3},"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/1908.03567/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":"2026-07-05T00:50:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qsF7osc+bcGxRZJULl807iEL3rT/+pGTshVFi8vsgr2nHOqz+hlpZizK2A5v0+anqQCRzC7uqw7X9TJF7QvyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T12:41:07.240443Z"},"content_sha256":"055042dc54079259d7ab7372f54c94ba6388274f2eebcdadc19a880b3898d486","schema_version":"1.0","event_id":"sha256:055042dc54079259d7ab7372f54c94ba6388274f2eebcdadc19a880b3898d486"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XPIM73PGG4HY72NTAORQWOLRHP/bundle.json","state_url":"https://pith.science/pith/XPIM73PGG4HY72NTAORQWOLRHP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XPIM73PGG4HY72NTAORQWOLRHP/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":"2026-08-16T12:41:07Z","links":{"resolver":"https://pith.science/pith/XPIM73PGG4HY72NTAORQWOLRHP","bundle":"https://pith.science/pith/XPIM73PGG4HY72NTAORQWOLRHP/bundle.json","state":"https://pith.science/pith/XPIM73PGG4HY72NTAORQWOLRHP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XPIM73PGG4HY72NTAORQWOLRHP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XPIM73PGG4HY72NTAORQWOLRHP","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":"c3bb4b6acbbdc5b00c4f9d8ad30ea7a7f5bfb5db819925df1f9e5c3c1dea6992","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-09T05:46:25Z","title_canon_sha256":"e2c27363e9f5d144f5aa30f4108f8e645ff58aa206448a90079154fa9f7fd55d"},"schema_version":"1.0","source":{"id":"1908.03567","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.03567","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"arxiv_version","alias_value":"1908.03567v3","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.03567","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"pith_short_12","alias_value":"XPIM73PGG4HY","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"pith_short_16","alias_value":"XPIM73PGG4HY72NT","created_at":"2026-07-05T00:50:52Z"},{"alias_kind":"pith_short_8","alias_value":"XPIM73PG","created_at":"2026-07-05T00:50:52Z"}],"graph_snapshots":[{"event_id":"sha256:055042dc54079259d7ab7372f54c94ba6388274f2eebcdadc19a880b3898d486","target":"graph","created_at":"2026-07-05T00:50:52Z","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/1908.03567/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Nambu mechanics is a generalized Hamiltonian dynamics characterized by an extended phase space and multiple Hamiltonians. In a previous paper [Prog. Theor. Exp. Phys. 2013, 073A01 (2013)] we revealed that the Nambu mechanical structure is hidden in Hamiltonian dynamics, that is, the classical time evolution of variables including redundant degrees of freedom can be formulated as Nambu mechanics. In the present paper we show that the Nambu mechanical structure is also hidden in some quantum or semiclassical dynamics, that is, in some cases the quantum or semiclassical time evolution of expectat","authors_text":"Atsushi Horikoshi","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-09T05:46:25Z","title":"Hidden Nambu mechanics II: Quantum/semiclassical dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.03567","kind":"arxiv","version":3},"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:fb3b846d4081931eb7aa025c877f094705dd7597618a263b4697da094839cbf8","target":"record","created_at":"2026-07-05T00:50:52Z","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":"c3bb4b6acbbdc5b00c4f9d8ad30ea7a7f5bfb5db819925df1f9e5c3c1dea6992","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-08-09T05:46:25Z","title_canon_sha256":"e2c27363e9f5d144f5aa30f4108f8e645ff58aa206448a90079154fa9f7fd55d"},"schema_version":"1.0","source":{"id":"1908.03567","kind":"arxiv","version":3}},"canonical_sha256":"bbd0cfede6370f8fe9b303a30b39713bc6fedba013bf72ef5c56a53cc5547dd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bbd0cfede6370f8fe9b303a30b39713bc6fedba013bf72ef5c56a53cc5547dd5","first_computed_at":"2026-07-05T00:50:52.481000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:50:52.481000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iRCfKeB5akT7pWBjpa4u7KVGRhd883zUmuw1tFBAmbMjGi6l68u0Tn2LQBMIL6hzcqB2b+2KmUWufgPywthhBg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:50:52.481515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.03567","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb3b846d4081931eb7aa025c877f094705dd7597618a263b4697da094839cbf8","sha256:055042dc54079259d7ab7372f54c94ba6388274f2eebcdadc19a880b3898d486"],"state_sha256":"1a1e812bbc1f57513c4477572bd82a4e4a60f94a783d9d6a76bb5c3f1978fb24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LMej9N61hxnfEr8LDTiUMS7YXd31VETLfrD7iLY9q4qjOSBecFij+eSwh5Crj0REN7hJtEOdCiqbUuex9epbCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T12:41:07.246404Z","bundle_sha256":"31b15a6419b1588e9bc102a4fa5511678b67011ee2d0308efc9e75e2cbfdef23"}}