{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:526C7NASJVPPLNHA2SOCFL3X55","short_pith_number":"pith:526C7NAS","schema_version":"1.0","canonical_sha256":"eebc2fb4124d5ef5b4e0d49c22af77ef4972ae2c01e24ddcb6d996ef0d21a12a","source":{"kind":"arxiv","id":"2305.04437","version":3},"attestation_state":"computed","paper":{"title":"Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Benjamin T. S{\\o}gaard, Bernardo Zan, Igor R. Klebanov, Ross Dempsey, Silviu S. Pufu","submitted_at":"2023-05-08T03:17:48Z","abstract_excerpt":"We examine the phase structure of the two-flavor Schwinger model as a function of the $\\theta$-angle and the two masses, $m_1$ and $m_2$. In particular, we find interesting effects at $\\theta=\\pi$: along the $SU(2)$-invariant line $m_1 = m_2 = m$, in the regime where $m$ is much smaller than the charge $g$, the theory undergoes logarithmic RG flow of the Berezinskii-Kosterlitz-Thouless type. As a result, in this regime there is a non-perturbatively small mass gap $\\sim e^{- A g^2/m^2}$. The $SU(2)$-invariant line lies within a region of the phase diagram where the charge conjugation symmetry i"},"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":"2305.04437","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-05-08T03:17:48Z","cross_cats_sorted":["hep-lat","quant-ph"],"title_canon_sha256":"88056a643540b7004611f389e3a549116a2bec3545f000ebdb27f14d41dda579","abstract_canon_sha256":"e17fa655cf544520e9ba37ad91554c3469688cbc610cb6dfed48eaecca16556c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:58:43.519441Z","signature_b64":"e0kUfJ1ng0xTHybn6D7V5G+qarDPEAmesYiDY/S3+UzWqVba+hPlN6thucoAGbzlpSnOLnOdh2y85s98Pz0/Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eebc2fb4124d5ef5b4e0d49c22af77ef4972ae2c01e24ddcb6d996ef0d21a12a","last_reissued_at":"2026-07-05T07:58:43.518869Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:58:43.518869Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase Diagram of the Two-Flavor Schwinger Model at Zero Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","quant-ph"],"primary_cat":"hep-th","authors_text":"Benjamin T. S{\\o}gaard, Bernardo Zan, Igor R. Klebanov, Ross Dempsey, Silviu S. Pufu","submitted_at":"2023-05-08T03:17:48Z","abstract_excerpt":"We examine the phase structure of the two-flavor Schwinger model as a function of the $\\theta$-angle and the two masses, $m_1$ and $m_2$. In particular, we find interesting effects at $\\theta=\\pi$: along the $SU(2)$-invariant line $m_1 = m_2 = m$, in the regime where $m$ is much smaller than the charge $g$, the theory undergoes logarithmic RG flow of the Berezinskii-Kosterlitz-Thouless type. As a result, in this regime there is a non-perturbatively small mass gap $\\sim e^{- A g^2/m^2}$. The $SU(2)$-invariant line lies within a region of the phase diagram where the charge conjugation symmetry i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.04437","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/2305.04437/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":"2305.04437","created_at":"2026-07-05T07:58:43.518937+00:00"},{"alias_kind":"arxiv_version","alias_value":"2305.04437v3","created_at":"2026-07-05T07:58:43.518937+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.04437","created_at":"2026-07-05T07:58:43.518937+00:00"},{"alias_kind":"pith_short_12","alias_value":"526C7NASJVPP","created_at":"2026-07-05T07:58:43.518937+00:00"},{"alias_kind":"pith_short_16","alias_value":"526C7NASJVPPLNHA","created_at":"2026-07-05T07:58:43.518937+00:00"},{"alias_kind":"pith_short_8","alias_value":"526C7NAS","created_at":"2026-07-05T07:58:43.518937+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.19732","citing_title":"Quantum models with the Yang-Lee phase transition","ref_index":75,"is_internal_anchor":false},{"citing_arxiv_id":"2605.17183","citing_title":"Dense $\\mathrm{QC_2D_2}$ with uniform matrix product states","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2508.16363","citing_title":"Infinite matrix product states for $(1+1)$-dimensional gauge theories","ref_index":43,"is_internal_anchor":false},{"citing_arxiv_id":"2509.02329","citing_title":"Fermion Discretization Effects in the Two-Flavor Lattice Schwinger Model: A Study with Matrix Product States","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2509.12305","citing_title":"Phases of 2d Gauge Theories and Symmetric Mass Generation","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2605.08042","citing_title":"The two-flavor Schwinger model at 50: Solving Coleman's puzzles","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2605.02883","citing_title":"de Sitter Vacua & pUniverses","ref_index":51,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55","json":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55.json","graph_json":"https://pith.science/api/pith-number/526C7NASJVPPLNHA2SOCFL3X55/graph.json","events_json":"https://pith.science/api/pith-number/526C7NASJVPPLNHA2SOCFL3X55/events.json","paper":"https://pith.science/paper/526C7NAS"},"agent_actions":{"view_html":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55","download_json":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55.json","view_paper":"https://pith.science/paper/526C7NAS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2305.04437&json=true","fetch_graph":"https://pith.science/api/pith-number/526C7NASJVPPLNHA2SOCFL3X55/graph.json","fetch_events":"https://pith.science/api/pith-number/526C7NASJVPPLNHA2SOCFL3X55/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55/action/timestamp_anchor","attest_storage":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55/action/storage_attestation","attest_author":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55/action/author_attestation","sign_citation":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55/action/citation_signature","submit_replication":"https://pith.science/pith/526C7NASJVPPLNHA2SOCFL3X55/action/replication_record"}},"created_at":"2026-07-05T07:58:43.518937+00:00","updated_at":"2026-07-05T07:58:43.518937+00:00"}