{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:OGH2DHGXE7UWAKL3CLH6MS6DAV","short_pith_number":"pith:OGH2DHGX","schema_version":"1.0","canonical_sha256":"718fa19cd727e960297b12cfe64bc3056cc688ce9a85fd875f6ad09dc21139a5","source":{"kind":"arxiv","id":"1809.05529","version":2},"attestation_state":"computed","paper":{"title":"Entanglement Entropy from Numerical Holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Christian Ecker","submitted_at":"2018-09-11T11:50:27Z","abstract_excerpt":"In this thesis I present numerical studies of entanglement entropy and the quantum null energy condition in strongly coupled far-from-equilibrium quantum states using holography. I give a careful introduction into the numerical methods used and provide the computer codes to compute entanglement entropy and the quantum null energy condition. These methods are then applied to systems of various degrees of complexity, including homogeneous and isotropic far- from-equilibrium quantum quenches dual to Vaidya spacetimes, to homogeneous and anisotropic finite temperature states dual to anisotropic bl"},"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":"1809.05529","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-11T11:50:27Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"7b96ed79975d5438ccb54c560e0dc262df41d82adb49030f272556ac15bfe9a1","abstract_canon_sha256":"1e0911604c60b94d84be0f475e8b4203382b9391ed05f702decb9fc0940cdedf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:19.971685Z","signature_b64":"hreeOyR3bIio0HH8akV72WWFLLhznSwVPhCu4+Osbhi90V5wD3DO8MAYB9FwXcY/mpK0c+UmgptIWeC+Y8BMDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"718fa19cd727e960297b12cfe64bc3056cc688ce9a85fd875f6ad09dc21139a5","last_reissued_at":"2026-05-18T00:04:19.971069Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:19.971069Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Entropy from Numerical Holography","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Christian Ecker","submitted_at":"2018-09-11T11:50:27Z","abstract_excerpt":"In this thesis I present numerical studies of entanglement entropy and the quantum null energy condition in strongly coupled far-from-equilibrium quantum states using holography. I give a careful introduction into the numerical methods used and provide the computer codes to compute entanglement entropy and the quantum null energy condition. These methods are then applied to systems of various degrees of complexity, including homogeneous and isotropic far- from-equilibrium quantum quenches dual to Vaidya spacetimes, to homogeneous and anisotropic finite temperature states dual to anisotropic bl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.05529","kind":"arxiv","version":2},"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":"1809.05529","created_at":"2026-05-18T00:04:19.971144+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.05529v2","created_at":"2026-05-18T00:04:19.971144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.05529","created_at":"2026-05-18T00:04:19.971144+00:00"},{"alias_kind":"pith_short_12","alias_value":"OGH2DHGXE7UW","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_16","alias_value":"OGH2DHGXE7UWAKL3","created_at":"2026-05-18T12:32:43.782077+00:00"},{"alias_kind":"pith_short_8","alias_value":"OGH2DHGX","created_at":"2026-05-18T12:32:43.782077+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/OGH2DHGXE7UWAKL3CLH6MS6DAV","json":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV.json","graph_json":"https://pith.science/api/pith-number/OGH2DHGXE7UWAKL3CLH6MS6DAV/graph.json","events_json":"https://pith.science/api/pith-number/OGH2DHGXE7UWAKL3CLH6MS6DAV/events.json","paper":"https://pith.science/paper/OGH2DHGX"},"agent_actions":{"view_html":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV","download_json":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV.json","view_paper":"https://pith.science/paper/OGH2DHGX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.05529&json=true","fetch_graph":"https://pith.science/api/pith-number/OGH2DHGXE7UWAKL3CLH6MS6DAV/graph.json","fetch_events":"https://pith.science/api/pith-number/OGH2DHGXE7UWAKL3CLH6MS6DAV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV/action/storage_attestation","attest_author":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV/action/author_attestation","sign_citation":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV/action/citation_signature","submit_replication":"https://pith.science/pith/OGH2DHGXE7UWAKL3CLH6MS6DAV/action/replication_record"}},"created_at":"2026-05-18T00:04:19.971144+00:00","updated_at":"2026-05-18T00:04:19.971144+00:00"}