{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HJKETNG4RLAOXJA3EQQF4EZMTF","short_pith_number":"pith:HJKETNG4","schema_version":"1.0","canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","source":{"kind":"arxiv","id":"1604.07951","version":1},"attestation_state":"computed","paper":{"title":"Dynamics of Local Symmetry Correlators for Interacting Many-Particle Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"primary_cat":"quant-ph","authors_text":"Fotis Diakonos, Peter Schmelcher, Sven Kr\\\"onke","submitted_at":"2016-04-27T07:11:37Z","abstract_excerpt":"Recently (PRL 113, 050403 (2014)) the concept of local symmetries in one-dimensional stationary wave propagation has been shown to lead to a class of invariant two-point currents that allow to generalize the parity and Bloch theorem. In the present work we establish the theoretical framework of local symmetries for higher-dimensional interacting many-body systems. Based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy we derive the equations of motion of local symmetry correlators which are off-diagonal elements of the reduced one-body density matrix at symmetry related positions. "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.07951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-27T07:11:37Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"title_canon_sha256":"9c8aeba2a5007f3c2f66c629c1fcfb0044dc5647307b9507bc98465eca56972c","abstract_canon_sha256":"6b832927443d283ece4e982c3f8f8f4ad31eaedee059a8b5a6391583a2e3c030"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:18.798597Z","signature_b64":"KZ1dePTD0qnxsRWQVVEkz3MvtlA2eC2x7+2AtS7EK6pZDX7zl5ix92cnx7/u8y3qSOjTxV5Hil0392MQhGS1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a5449b4dc8ac0eba41b24205e132c996f79a603189c4239e3235921686c1c1c","last_reissued_at":"2026-05-18T00:49:18.798182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:18.798182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics of Local Symmetry Correlators for Interacting Many-Particle Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.mtrl-sci"],"primary_cat":"quant-ph","authors_text":"Fotis Diakonos, Peter Schmelcher, Sven Kr\\\"onke","submitted_at":"2016-04-27T07:11:37Z","abstract_excerpt":"Recently (PRL 113, 050403 (2014)) the concept of local symmetries in one-dimensional stationary wave propagation has been shown to lead to a class of invariant two-point currents that allow to generalize the parity and Bloch theorem. In the present work we establish the theoretical framework of local symmetries for higher-dimensional interacting many-body systems. Based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy we derive the equations of motion of local symmetry correlators which are off-diagonal elements of the reduced one-body density matrix at symmetry related positions. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07951","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.07951","created_at":"2026-05-18T00:49:18.798244+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.07951v1","created_at":"2026-05-18T00:49:18.798244+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07951","created_at":"2026-05-18T00:49:18.798244+00:00"},{"alias_kind":"pith_short_12","alias_value":"HJKETNG4RLAO","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_16","alias_value":"HJKETNG4RLAOXJA3","created_at":"2026-05-18T12:30:19.053100+00:00"},{"alias_kind":"pith_short_8","alias_value":"HJKETNG4","created_at":"2026-05-18T12:30:19.053100+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF","json":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF.json","graph_json":"https://pith.science/api/pith-number/HJKETNG4RLAOXJA3EQQF4EZMTF/graph.json","events_json":"https://pith.science/api/pith-number/HJKETNG4RLAOXJA3EQQF4EZMTF/events.json","paper":"https://pith.science/paper/HJKETNG4"},"agent_actions":{"view_html":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF","download_json":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF.json","view_paper":"https://pith.science/paper/HJKETNG4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.07951&json=true","fetch_graph":"https://pith.science/api/pith-number/HJKETNG4RLAOXJA3EQQF4EZMTF/graph.json","fetch_events":"https://pith.science/api/pith-number/HJKETNG4RLAOXJA3EQQF4EZMTF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/action/storage_attestation","attest_author":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/action/author_attestation","sign_citation":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/action/citation_signature","submit_replication":"https://pith.science/pith/HJKETNG4RLAOXJA3EQQF4EZMTF/action/replication_record"}},"created_at":"2026-05-18T00:49:18.798244+00:00","updated_at":"2026-05-18T00:49:18.798244+00:00"}