{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:AHRHHTJ5ODUUMYIPAVW6BCDN36","short_pith_number":"pith:AHRHHTJ5","schema_version":"1.0","canonical_sha256":"01e273cd3d70e946610f056de0886ddf97d45db4bf6311cd31cf1c6b6b88c5d7","source":{"kind":"arxiv","id":"1806.02835","version":1},"attestation_state":"computed","paper":{"title":"Entanglement Renormalization for Weakly Interacting Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Ali Mollabashi, Ali Naseh, Jordan Cotler, M. Reza Mohammadi Mozaffar","submitted_at":"2018-06-07T18:00:01Z","abstract_excerpt":"We adapt the techniques of entanglement renormalization tensor networks to weakly interacting quantum field theories in the continuum. A key tool is \"quantum circuit perturbation theory,\" which enables us to systematically construct unitaries that map between wavefunctionals which are Gaussian with arbitrary perturbative corrections. As an application, we construct a local, continuous MERA (cMERA) circuit that maps an unentangled scale-invariant state to the ground state of $\\varphi^4$ theory to 1-loop. Our local cMERA circuit corresponds exactly to 1-loop Wilsonian RG on the spatial momentum "},"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":"1806.02835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-06-07T18:00:01Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"caa942e34ea5285c7ad5f9f3ef563ee1f33b38e49356d00f673ed28ab47aaf8a","abstract_canon_sha256":"664bf9bfcb257bcc7bd186880e44d2da676114fbb3ee6ff62c13520d85434216"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:59.919025Z","signature_b64":"E/rVkyc2GpIiHq3ct8DuhBAAxlyIsTnxAz2QSJzxBs0hQWuMUSbZk80+ZwuUsrOXl+GTW0NxN4Vu/3bBZMhnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01e273cd3d70e946610f056de0886ddf97d45db4bf6311cd31cf1c6b6b88c5d7","last_reissued_at":"2026-05-17T23:47:59.918571Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:59.918571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Entanglement Renormalization for Weakly Interacting Fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-th","authors_text":"Ali Mollabashi, Ali Naseh, Jordan Cotler, M. Reza Mohammadi Mozaffar","submitted_at":"2018-06-07T18:00:01Z","abstract_excerpt":"We adapt the techniques of entanglement renormalization tensor networks to weakly interacting quantum field theories in the continuum. A key tool is \"quantum circuit perturbation theory,\" which enables us to systematically construct unitaries that map between wavefunctionals which are Gaussian with arbitrary perturbative corrections. As an application, we construct a local, continuous MERA (cMERA) circuit that maps an unentangled scale-invariant state to the ground state of $\\varphi^4$ theory to 1-loop. Our local cMERA circuit corresponds exactly to 1-loop Wilsonian RG on the spatial momentum "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.02835","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":"1806.02835","created_at":"2026-05-17T23:47:59.918644+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.02835v1","created_at":"2026-05-17T23:47:59.918644+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.02835","created_at":"2026-05-17T23:47:59.918644+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHRHHTJ5ODUU","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHRHHTJ5ODUUMYIP","created_at":"2026-05-18T12:32:13.499390+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHRHHTJ5","created_at":"2026-05-18T12:32:13.499390+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/AHRHHTJ5ODUUMYIPAVW6BCDN36","json":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36.json","graph_json":"https://pith.science/api/pith-number/AHRHHTJ5ODUUMYIPAVW6BCDN36/graph.json","events_json":"https://pith.science/api/pith-number/AHRHHTJ5ODUUMYIPAVW6BCDN36/events.json","paper":"https://pith.science/paper/AHRHHTJ5"},"agent_actions":{"view_html":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36","download_json":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36.json","view_paper":"https://pith.science/paper/AHRHHTJ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.02835&json=true","fetch_graph":"https://pith.science/api/pith-number/AHRHHTJ5ODUUMYIPAVW6BCDN36/graph.json","fetch_events":"https://pith.science/api/pith-number/AHRHHTJ5ODUUMYIPAVW6BCDN36/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36/action/storage_attestation","attest_author":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36/action/author_attestation","sign_citation":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36/action/citation_signature","submit_replication":"https://pith.science/pith/AHRHHTJ5ODUUMYIPAVW6BCDN36/action/replication_record"}},"created_at":"2026-05-17T23:47:59.918644+00:00","updated_at":"2026-05-17T23:47:59.918644+00:00"}