{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:S7O5OVX5OERKYTR3LH6TOIOM7R","short_pith_number":"pith:S7O5OVX5","schema_version":"1.0","canonical_sha256":"97ddd756fd7122ac4e3b59fd3721ccfc6e1962c63cf16b72fab77f05491c302c","source":{"kind":"arxiv","id":"2402.04320","version":3},"attestation_state":"computed","paper":{"title":"Semiclassics for the QCD vacuum structure through $T^2$-compactification with the baryon-'t Hooft flux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Yui Hayashi, Yuya Tanizaki","submitted_at":"2024-02-06T19:03:55Z","abstract_excerpt":"We study QCD vacuum structure with the topological $\\theta$ angle using a recently proposed semiclassical approach on $\\mathbb{R}^2 \\times T^2$ with the 't Hooft and baryon magnetic fluxes. Under the assumption of adiabatic continuity in this setup, the confining vacuum can be described by the dilute gas of center vortices. With this semiclassical approach, we derive the 2d effective description at small $T^2$ and successfully explain the reasonable theta dependence of the QCD vacuum: In the one-flavor QCD at $\\theta = \\pi$, the $CP$ symmetry is spontaneously broken for quark mass above a crit"},"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":"2402.04320","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-02-06T19:03:55Z","cross_cats_sorted":["hep-lat","hep-ph","nucl-th"],"title_canon_sha256":"a01ec798b4ef1d755e2946c3d93e3067d023a42142930250643fd6527ec23050","abstract_canon_sha256":"3f89d12355a578d6cdf16af7629022b3545a5c7a1eaeac5fd33210311d4c9ccb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:11:01.377744Z","signature_b64":"rJE04UKaXcECo6P2kXEsQBiPonyknig/QhaqLuA9T1uIYxliKQIQm7UcyxnSH5Cl9MnMLqBnOVN1MD+lCHHuAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"97ddd756fd7122ac4e3b59fd3721ccfc6e1962c63cf16b72fab77f05491c302c","last_reissued_at":"2026-07-05T08:11:01.377196Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:11:01.377196Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Semiclassics for the QCD vacuum structure through $T^2$-compactification with the baryon-'t Hooft flux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","nucl-th"],"primary_cat":"hep-th","authors_text":"Yui Hayashi, Yuya Tanizaki","submitted_at":"2024-02-06T19:03:55Z","abstract_excerpt":"We study QCD vacuum structure with the topological $\\theta$ angle using a recently proposed semiclassical approach on $\\mathbb{R}^2 \\times T^2$ with the 't Hooft and baryon magnetic fluxes. Under the assumption of adiabatic continuity in this setup, the confining vacuum can be described by the dilute gas of center vortices. With this semiclassical approach, we derive the 2d effective description at small $T^2$ and successfully explain the reasonable theta dependence of the QCD vacuum: In the one-flavor QCD at $\\theta = \\pi$, the $CP$ symmetry is spontaneously broken for quark mass above a crit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.04320","kind":"arxiv","version":3},"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/2402.04320/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":"2402.04320","created_at":"2026-07-05T08:11:01.377254+00:00"},{"alias_kind":"arxiv_version","alias_value":"2402.04320v3","created_at":"2026-07-05T08:11:01.377254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.04320","created_at":"2026-07-05T08:11:01.377254+00:00"},{"alias_kind":"pith_short_12","alias_value":"S7O5OVX5OERK","created_at":"2026-07-05T08:11:01.377254+00:00"},{"alias_kind":"pith_short_16","alias_value":"S7O5OVX5OERKYTR3","created_at":"2026-07-05T08:11:01.377254+00:00"},{"alias_kind":"pith_short_8","alias_value":"S7O5OVX5","created_at":"2026-07-05T08:11:01.377254+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.22078","citing_title":"Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2606.17708","citing_title":"Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2606.13428","citing_title":"Numerical Hints for Dyon Condensation at $\\theta=2\\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory","ref_index":23,"is_internal_anchor":false},{"citing_arxiv_id":"2604.17848","citing_title":"Adiabatic continuity in a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R","json":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R.json","graph_json":"https://pith.science/api/pith-number/S7O5OVX5OERKYTR3LH6TOIOM7R/graph.json","events_json":"https://pith.science/api/pith-number/S7O5OVX5OERKYTR3LH6TOIOM7R/events.json","paper":"https://pith.science/paper/S7O5OVX5"},"agent_actions":{"view_html":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R","download_json":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R.json","view_paper":"https://pith.science/paper/S7O5OVX5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2402.04320&json=true","fetch_graph":"https://pith.science/api/pith-number/S7O5OVX5OERKYTR3LH6TOIOM7R/graph.json","fetch_events":"https://pith.science/api/pith-number/S7O5OVX5OERKYTR3LH6TOIOM7R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R/action/storage_attestation","attest_author":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R/action/author_attestation","sign_citation":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R/action/citation_signature","submit_replication":"https://pith.science/pith/S7O5OVX5OERKYTR3LH6TOIOM7R/action/replication_record"}},"created_at":"2026-07-05T08:11:01.377254+00:00","updated_at":"2026-07-05T08:11:01.377254+00:00"}