{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:WFSBMDWKSKRREMGUWXPFLXVD4V","short_pith_number":"pith:WFSBMDWK","schema_version":"1.0","canonical_sha256":"b164160eca92a31230d4b5de55dea3e55fc8be5dfb94755034697b9f87e35144","source":{"kind":"arxiv","id":"2112.02483","version":2},"attestation_state":"computed","paper":{"title":"Polyakov Model in 't Hooft flux background: A quantum mechanical reduction with memory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cihan Pazarba\\c{s}{\\i}, Mithat \\\"Unsal","submitted_at":"2021-12-05T06:05:23Z","abstract_excerpt":"We construct a compactification of Polyakov model on $T^2 \\times \\mathbb R $ down to quantum mechanics which remembers non-perturbative aspects of field theory even at an arbitrarily small area. Standard compactification on small $T^2 \\times \\mathbb R $ possesses a unique perturbative vacuum (zero magnetic flux state), separated parametrically from higher flux states, and the instanton effects do not survive in the Born-Oppenheimer approximation. By turning on a background magnetic GNO flux in co-weight lattice corresponding to a non-zero 't Hooft flux, we show that $N$-degenerate vacua appear"},"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":"2112.02483","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-12-05T06:05:23Z","cross_cats_sorted":[],"title_canon_sha256":"062d22ff85eb18af2cfcb95cc812d49f36cfb3c1e383735ff6ab7a6959f66791","abstract_canon_sha256":"8ec99022ae8e90abf246d0f589257c0b5cb8ae5f7a3150a164a813af63225b26"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:50:51.585785Z","signature_b64":"MjjzU6P2fmoujDHpVkDYPS5OlW7LZ8KVVjG7o4/61p7SYYDL0xegSQ6wwF56LQrvtVcZLhrY6xF+x2IOPfGpBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b164160eca92a31230d4b5de55dea3e55fc8be5dfb94755034697b9f87e35144","last_reissued_at":"2026-07-05T04:50:51.585296Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:50:51.585296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polyakov Model in 't Hooft flux background: A quantum mechanical reduction with memory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cihan Pazarba\\c{s}{\\i}, Mithat \\\"Unsal","submitted_at":"2021-12-05T06:05:23Z","abstract_excerpt":"We construct a compactification of Polyakov model on $T^2 \\times \\mathbb R $ down to quantum mechanics which remembers non-perturbative aspects of field theory even at an arbitrarily small area. Standard compactification on small $T^2 \\times \\mathbb R $ possesses a unique perturbative vacuum (zero magnetic flux state), separated parametrically from higher flux states, and the instanton effects do not survive in the Born-Oppenheimer approximation. By turning on a background magnetic GNO flux in co-weight lattice corresponding to a non-zero 't Hooft flux, we show that $N$-degenerate vacua appear"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.02483","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/2112.02483/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":"2112.02483","created_at":"2026-07-05T04:50:51.585356+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.02483v2","created_at":"2026-07-05T04:50:51.585356+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.02483","created_at":"2026-07-05T04:50:51.585356+00:00"},{"alias_kind":"pith_short_12","alias_value":"WFSBMDWKSKRR","created_at":"2026-07-05T04:50:51.585356+00:00"},{"alias_kind":"pith_short_16","alias_value":"WFSBMDWKSKRREMGU","created_at":"2026-07-05T04:50:51.585356+00:00"},{"alias_kind":"pith_short_8","alias_value":"WFSBMDWK","created_at":"2026-07-05T04:50:51.585356+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.05878","citing_title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05878","citing_title":"Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence","ref_index":60,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V","json":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V.json","graph_json":"https://pith.science/api/pith-number/WFSBMDWKSKRREMGUWXPFLXVD4V/graph.json","events_json":"https://pith.science/api/pith-number/WFSBMDWKSKRREMGUWXPFLXVD4V/events.json","paper":"https://pith.science/paper/WFSBMDWK"},"agent_actions":{"view_html":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V","download_json":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V.json","view_paper":"https://pith.science/paper/WFSBMDWK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.02483&json=true","fetch_graph":"https://pith.science/api/pith-number/WFSBMDWKSKRREMGUWXPFLXVD4V/graph.json","fetch_events":"https://pith.science/api/pith-number/WFSBMDWKSKRREMGUWXPFLXVD4V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V/action/storage_attestation","attest_author":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V/action/author_attestation","sign_citation":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V/action/citation_signature","submit_replication":"https://pith.science/pith/WFSBMDWKSKRREMGUWXPFLXVD4V/action/replication_record"}},"created_at":"2026-07-05T04:50:51.585356+00:00","updated_at":"2026-07-05T04:50:51.585356+00:00"}