{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:QVLLUR3BQEEKK7BGV3XAKTG435","short_pith_number":"pith:QVLLUR3B","schema_version":"1.0","canonical_sha256":"8556ba47618108a57c26aeee054cdcdf5d13245b4110d37aa9769f778c44997b","source":{"kind":"arxiv","id":"1812.00193","version":1},"attestation_state":"computed","paper":{"title":"Circuit Complexity for Fermionic Thermofield Double states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jie Jiang, Xiangjing Liu","submitted_at":"2018-12-01T11:55:58Z","abstract_excerpt":"Motivated by the holographic complexity proposals, in this paper, we investigate the time dependence of the complexity for the Fermionic thermofield double state (TFD) using the Nielsen approach and Fubini-Study (FS) approach separately. In both two approaches, we discuss the results for different reference states: the Dirac vacuum state and the Gaussian state which has no spatial entanglement (NSE). For Dirac vacuum reference state, we find that the complexity by both two approaches is time independent and the circuit complexity shares the same expression for both methods with the $L^2$ norm."},"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":"1812.00193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-01T11:55:58Z","cross_cats_sorted":[],"title_canon_sha256":"6fba30311e2765fb6f30cdff3e2c4b0ff4ccfa5dd8dcbf7dd7f4b630ec3dcc61","abstract_canon_sha256":"cadfe844686dcfd72ac3d08b3bc0b63f8ffb763a1d7e48810ab05e4713422552"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:09.329057Z","signature_b64":"IURrTCT10st+7WUal4tDFu7OmJwQA4ad9lZf5dXvHvDPqIMpvdCUH17abdLFZLzGAeiN+7KJtofmRvtj3fqOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8556ba47618108a57c26aeee054cdcdf5d13245b4110d37aa9769f778c44997b","last_reissued_at":"2026-05-17T23:56:09.328325Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:09.328325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Circuit Complexity for Fermionic Thermofield Double states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jie Jiang, Xiangjing Liu","submitted_at":"2018-12-01T11:55:58Z","abstract_excerpt":"Motivated by the holographic complexity proposals, in this paper, we investigate the time dependence of the complexity for the Fermionic thermofield double state (TFD) using the Nielsen approach and Fubini-Study (FS) approach separately. In both two approaches, we discuss the results for different reference states: the Dirac vacuum state and the Gaussian state which has no spatial entanglement (NSE). For Dirac vacuum reference state, we find that the complexity by both two approaches is time independent and the circuit complexity shares the same expression for both methods with the $L^2$ norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.00193","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":"1812.00193","created_at":"2026-05-17T23:56:09.328456+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.00193v1","created_at":"2026-05-17T23:56:09.328456+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.00193","created_at":"2026-05-17T23:56:09.328456+00:00"},{"alias_kind":"pith_short_12","alias_value":"QVLLUR3BQEEK","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_16","alias_value":"QVLLUR3BQEEKK7BG","created_at":"2026-05-18T12:32:46.962924+00:00"},{"alias_kind":"pith_short_8","alias_value":"QVLLUR3B","created_at":"2026-05-18T12:32:46.962924+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/QVLLUR3BQEEKK7BGV3XAKTG435","json":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435.json","graph_json":"https://pith.science/api/pith-number/QVLLUR3BQEEKK7BGV3XAKTG435/graph.json","events_json":"https://pith.science/api/pith-number/QVLLUR3BQEEKK7BGV3XAKTG435/events.json","paper":"https://pith.science/paper/QVLLUR3B"},"agent_actions":{"view_html":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435","download_json":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435.json","view_paper":"https://pith.science/paper/QVLLUR3B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.00193&json=true","fetch_graph":"https://pith.science/api/pith-number/QVLLUR3BQEEKK7BGV3XAKTG435/graph.json","fetch_events":"https://pith.science/api/pith-number/QVLLUR3BQEEKK7BGV3XAKTG435/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435/action/storage_attestation","attest_author":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435/action/author_attestation","sign_citation":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435/action/citation_signature","submit_replication":"https://pith.science/pith/QVLLUR3BQEEKK7BGV3XAKTG435/action/replication_record"}},"created_at":"2026-05-17T23:56:09.328456+00:00","updated_at":"2026-05-17T23:56:09.328456+00:00"}