{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:KQQVUQC737PWN6PUTTRXLM7YAR","short_pith_number":"pith:KQQVUQC7","schema_version":"1.0","canonical_sha256":"54215a405fdfdf66f9f49ce375b3f8044e0d71a1a6de147f117b69e569c88173","source":{"kind":"arxiv","id":"1607.04205","version":2},"attestation_state":"computed","paper":{"title":"Non-perturbative Contributions from Complexified Solutions in $\\mathbb{C}P^{N-1}$ Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Muneto Nitta, Norisuke Sakai, Syo Kamata, Tatsuhiro Misumi, Toshiaki Fujimori","submitted_at":"2016-07-14T16:52:21Z","abstract_excerpt":"We discuss the non-perturbative contributions from real and complex saddle point solutions in the $\\mathbb{C}P^1$ quantum mechanics with fermionic degrees of freedom, using the Lefschetz thimble formalism beyond the gaussian approximation. We find bion solutions, which correspond to (complexified) instanton-antiinstanton configurations stabilized in the presence of the fermionic degrees of freedom. By computing the one-loop determinants in the bion backgrounds, we obtain the leading order contributions from both the real and complex bion solutions. To incorporate quasi zero modes which become "},"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":"1607.04205","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-14T16:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"5ca956459a198d553505744bcdeb31961d24f1dc8987952f1254821b30e83051","abstract_canon_sha256":"daed3711ba3207c6ee495769803e5bdb0a1f8d6306f2e861537da3e66d08b986"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:57.900484Z","signature_b64":"+SIGCvl1+wjH0kj3uiGrzKyUtG7oCqlVFT1SYRffclvWMRQH8K8aF98BWuNZFyDGSKoCPcoY9h4Xf8ICA2tcBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"54215a405fdfdf66f9f49ce375b3f8044e0d71a1a6de147f117b69e569c88173","last_reissued_at":"2026-05-18T00:59:57.899883Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:57.899883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-perturbative Contributions from Complexified Solutions in $\\mathbb{C}P^{N-1}$ Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Muneto Nitta, Norisuke Sakai, Syo Kamata, Tatsuhiro Misumi, Toshiaki Fujimori","submitted_at":"2016-07-14T16:52:21Z","abstract_excerpt":"We discuss the non-perturbative contributions from real and complex saddle point solutions in the $\\mathbb{C}P^1$ quantum mechanics with fermionic degrees of freedom, using the Lefschetz thimble formalism beyond the gaussian approximation. We find bion solutions, which correspond to (complexified) instanton-antiinstanton configurations stabilized in the presence of the fermionic degrees of freedom. By computing the one-loop determinants in the bion backgrounds, we obtain the leading order contributions from both the real and complex bion solutions. To incorporate quasi zero modes which become "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.04205","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":""},"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":"1607.04205","created_at":"2026-05-18T00:59:57.899968+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.04205v2","created_at":"2026-05-18T00:59:57.899968+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.04205","created_at":"2026-05-18T00:59:57.899968+00:00"},{"alias_kind":"pith_short_12","alias_value":"KQQVUQC737PW","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"KQQVUQC737PWN6PU","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"KQQVUQC7","created_at":"2026-05-18T12:30:25.849896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"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":42,"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":85,"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":42,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR","json":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR.json","graph_json":"https://pith.science/api/pith-number/KQQVUQC737PWN6PUTTRXLM7YAR/graph.json","events_json":"https://pith.science/api/pith-number/KQQVUQC737PWN6PUTTRXLM7YAR/events.json","paper":"https://pith.science/paper/KQQVUQC7"},"agent_actions":{"view_html":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR","download_json":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR.json","view_paper":"https://pith.science/paper/KQQVUQC7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.04205&json=true","fetch_graph":"https://pith.science/api/pith-number/KQQVUQC737PWN6PUTTRXLM7YAR/graph.json","fetch_events":"https://pith.science/api/pith-number/KQQVUQC737PWN6PUTTRXLM7YAR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR/action/storage_attestation","attest_author":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR/action/author_attestation","sign_citation":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR/action/citation_signature","submit_replication":"https://pith.science/pith/KQQVUQC737PWN6PUTTRXLM7YAR/action/replication_record"}},"created_at":"2026-05-18T00:59:57.899968+00:00","updated_at":"2026-05-18T00:59:57.899968+00:00"}