{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:DJSYHLPDVI6RLGOY6TOWJPYMXW","short_pith_number":"pith:DJSYHLPD","schema_version":"1.0","canonical_sha256":"1a6583ade3aa3d1599d8f4dd64bf0cbdb9d6e591d2650af9eed12b333218b136","source":{"kind":"arxiv","id":"2107.14220","version":2},"attestation_state":"computed","paper":{"title":"Phase structure of the CP(1) model in the presence of a topological $\\theta$-term","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-lat","authors_text":"Karl Jansen, Katsumasa Nakayama, Lena Funcke, Stefan K\\\"uhn, Ying-Jer Kao","submitted_at":"2021-07-29T17:53:50Z","abstract_excerpt":"We numerically study the phase structure of the CP(1) model in the presence of a topological $\\theta$-term, a regime afflicted by the sign problem for conventional lattice Monte Carlo simulations. Using a bond-weighted tensor renormalization group method, we compute the free energy for inverse couplings ranging from $0\\leq \\beta \\leq 1.1$ and find a CP-violating, first-order phase transition at $\\theta=\\pi$. In contrast to previous findings, our numerical results provide no evidence for a critical coupling $\\beta_c<1.1$ above which a second-order phase transition emerges at $\\theta=\\pi$ and/or"},"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":"2107.14220","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-lat","submitted_at":"2021-07-29T17:53:50Z","cross_cats_sorted":["cond-mat.str-el","quant-ph"],"title_canon_sha256":"1092f25307616204e98a85657dd89b461d8103a49f257f4486b6a8784aeef5bb","abstract_canon_sha256":"85416fa68a9b9227fd77aced1156e6b9af3c931a2b3eaa398d13236264f8e199"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:53:39.423256Z","signature_b64":"+0sV9hEXngxDwXQ+8hUIXQk5MNrxHzWMRhjuavplozRgjlDegsWMkXg587dHF+w0Gg23pq0ljTkw2q2XqawIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a6583ade3aa3d1599d8f4dd64bf0cbdb9d6e591d2650af9eed12b333218b136","last_reissued_at":"2026-07-05T04:53:39.422784Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:53:39.422784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase structure of the CP(1) model in the presence of a topological $\\theta$-term","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.str-el","quant-ph"],"primary_cat":"hep-lat","authors_text":"Karl Jansen, Katsumasa Nakayama, Lena Funcke, Stefan K\\\"uhn, Ying-Jer Kao","submitted_at":"2021-07-29T17:53:50Z","abstract_excerpt":"We numerically study the phase structure of the CP(1) model in the presence of a topological $\\theta$-term, a regime afflicted by the sign problem for conventional lattice Monte Carlo simulations. Using a bond-weighted tensor renormalization group method, we compute the free energy for inverse couplings ranging from $0\\leq \\beta \\leq 1.1$ and find a CP-violating, first-order phase transition at $\\theta=\\pi$. In contrast to previous findings, our numerical results provide no evidence for a critical coupling $\\beta_c<1.1$ above which a second-order phase transition emerges at $\\theta=\\pi$ and/or"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.14220","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.14220/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2107.14220","created_at":"2026-07-05T04:53:39.422840+00:00"},{"alias_kind":"arxiv_version","alias_value":"2107.14220v2","created_at":"2026-07-05T04:53:39.422840+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.14220","created_at":"2026-07-05T04:53:39.422840+00:00"},{"alias_kind":"pith_short_12","alias_value":"DJSYHLPDVI6R","created_at":"2026-07-05T04:53:39.422840+00:00"},{"alias_kind":"pith_short_16","alias_value":"DJSYHLPDVI6RLGOY","created_at":"2026-07-05T04:53:39.422840+00:00"},{"alias_kind":"pith_short_8","alias_value":"DJSYHLPD","created_at":"2026-07-05T04:53:39.422840+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.22321","citing_title":"Multi-particle states investigation with tensor renormalization group method","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2607.00082","citing_title":"Toward Hamiltonian simulations of Maxwell-Chern-Simons theory: constant modes and gauge field truncation","ref_index":16,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW","json":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW.json","graph_json":"https://pith.science/api/pith-number/DJSYHLPDVI6RLGOY6TOWJPYMXW/graph.json","events_json":"https://pith.science/api/pith-number/DJSYHLPDVI6RLGOY6TOWJPYMXW/events.json","paper":"https://pith.science/paper/DJSYHLPD"},"agent_actions":{"view_html":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW","download_json":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW.json","view_paper":"https://pith.science/paper/DJSYHLPD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2107.14220&json=true","fetch_graph":"https://pith.science/api/pith-number/DJSYHLPDVI6RLGOY6TOWJPYMXW/graph.json","fetch_events":"https://pith.science/api/pith-number/DJSYHLPDVI6RLGOY6TOWJPYMXW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW/action/storage_attestation","attest_author":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW/action/author_attestation","sign_citation":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW/action/citation_signature","submit_replication":"https://pith.science/pith/DJSYHLPDVI6RLGOY6TOWJPYMXW/action/replication_record"}},"created_at":"2026-07-05T04:53:39.422840+00:00","updated_at":"2026-07-05T04:53:39.422840+00:00"}