{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:X7B2UJRDMBMQ4IPDQCODPEV6UM","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":"4b482629ae7764fb281d57f4d12da1ddc1c16a74f1bca55fc40bdc9ef12443f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-03-24T03:11:22Z","title_canon_sha256":"52a95632db8f4e3d7abc5e64d9aa5009b18eddcc71591094600ca92a7d030adb"},"schema_version":"1.0","source":{"id":"1603.07420","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07420","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07420v3","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07420","created_at":"2026-05-18T01:09:57Z"},{"alias_kind":"pith_short_12","alias_value":"X7B2UJRDMBMQ","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"X7B2UJRDMBMQ4IPD","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"X7B2UJRD","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:356ffa7da3c1c9fa09ca4967aeb9e3efc15bd8bb5152b488f8a1eda33be250c4","target":"graph","created_at":"2026-05-18T01:09:57Z","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":"In the preceeding paper, introducing isospin-dependent density operators and defining exact momenta (collective variables), we could get an exact canonically momenta approach to a one-dimensional (1D) neutron-proton (NP) system. In this paper, we attempt at a velocity operator approach to a 3D NP system. Following Sunakawa, after introducing momentum density operators, we define velocity operators, denoting classical fluid velocities. We derive a collective Hamiltonian in terms of the collective variables.","authors_text":"Joao da Providencia, Seiya Nishiyama","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-03-24T03:11:22Z","title":"Velocity operator approach to quantum fluid dynamics in a three-dimensional neutron-proton system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07420","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":"sha256:4b98bc27ed41179d24fe5eeb65cb81bd3e73baf6889d543d87e7b845bf954289","target":"record","created_at":"2026-05-18T01:09:57Z","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":"4b482629ae7764fb281d57f4d12da1ddc1c16a74f1bca55fc40bdc9ef12443f9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-03-24T03:11:22Z","title_canon_sha256":"52a95632db8f4e3d7abc5e64d9aa5009b18eddcc71591094600ca92a7d030adb"},"schema_version":"1.0","source":{"id":"1603.07420","kind":"arxiv","version":3}},"canonical_sha256":"bfc3aa262360590e21e3809c3792bea304908677c080b453148c891dd40b2310","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bfc3aa262360590e21e3809c3792bea304908677c080b453148c891dd40b2310","first_computed_at":"2026-05-18T01:09:57.543386Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:57.543386Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xhu+xRdkp/TER45g4bG8yAjnEX/i0rlKk/7ev8WMOYVRiHmo016++RVbfmFVspggPo34viax6u5jsB+iYQuCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:57.544252Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07420","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b98bc27ed41179d24fe5eeb65cb81bd3e73baf6889d543d87e7b845bf954289","sha256:356ffa7da3c1c9fa09ca4967aeb9e3efc15bd8bb5152b488f8a1eda33be250c4"],"state_sha256":"8dcb79813b854b25d05e463f1b7c95ebd5327113703afe7c6d6436c24c5e09bc"}