{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:43DQODUCBY4FRWNPACG7GAPQKG","short_pith_number":"pith:43DQODUC","schema_version":"1.0","canonical_sha256":"e6c7070e820e3858d9af008df301f05184d23a1149f77ef0f5cdf656f4838a5e","source":{"kind":"arxiv","id":"1404.7089","version":1},"attestation_state":"computed","paper":{"title":"Density matrix form of Gross-Pitaevskii equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"O. V. Man'ko, V. I. Man'ko, V. N. Chernega","submitted_at":"2014-04-28T18:48:24Z","abstract_excerpt":"We consider the generalized pure state density matrix which depends on different time moments. The evolution equation for this density matrix is obtained in case where the density matrix corresponds to the solutions of Gross-Pitaevskii equation."},"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":"1404.7089","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-28T18:48:24Z","cross_cats_sorted":[],"title_canon_sha256":"08c5433f94e8008ff85cf125f9527eba2de2b99acb60f058eed2ce7d0cdf4562","abstract_canon_sha256":"0889aabe65762fa8a225e9c8b1b052edc84fb15ba501c336dc20c3e725ad2eff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:27.383505Z","signature_b64":"XXj5V4kAMJyFAQ84JMDNG49AMuHVm28RzWvKWbuft+mQdx9Shl1TMvhtO5PRMBYnz6slxPUWP1af7T2AAU95AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6c7070e820e3858d9af008df301f05184d23a1149f77ef0f5cdf656f4838a5e","last_reissued_at":"2026-05-17T23:54:27.382907Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:27.382907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density matrix form of Gross-Pitaevskii equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"O. V. Man'ko, V. I. Man'ko, V. N. Chernega","submitted_at":"2014-04-28T18:48:24Z","abstract_excerpt":"We consider the generalized pure state density matrix which depends on different time moments. The evolution equation for this density matrix is obtained in case where the density matrix corresponds to the solutions of Gross-Pitaevskii equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7089","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":"1404.7089","created_at":"2026-05-17T23:54:27.382998+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.7089v1","created_at":"2026-05-17T23:54:27.382998+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7089","created_at":"2026-05-17T23:54:27.382998+00:00"},{"alias_kind":"pith_short_12","alias_value":"43DQODUCBY4F","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"43DQODUCBY4FRWNP","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"43DQODUC","created_at":"2026-05-18T12:28:11.866339+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/43DQODUCBY4FRWNPACG7GAPQKG","json":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG.json","graph_json":"https://pith.science/api/pith-number/43DQODUCBY4FRWNPACG7GAPQKG/graph.json","events_json":"https://pith.science/api/pith-number/43DQODUCBY4FRWNPACG7GAPQKG/events.json","paper":"https://pith.science/paper/43DQODUC"},"agent_actions":{"view_html":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG","download_json":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG.json","view_paper":"https://pith.science/paper/43DQODUC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.7089&json=true","fetch_graph":"https://pith.science/api/pith-number/43DQODUCBY4FRWNPACG7GAPQKG/graph.json","fetch_events":"https://pith.science/api/pith-number/43DQODUCBY4FRWNPACG7GAPQKG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG/action/storage_attestation","attest_author":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG/action/author_attestation","sign_citation":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG/action/citation_signature","submit_replication":"https://pith.science/pith/43DQODUCBY4FRWNPACG7GAPQKG/action/replication_record"}},"created_at":"2026-05-17T23:54:27.382998+00:00","updated_at":"2026-05-17T23:54:27.382998+00:00"}