{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:NF3N6MRFIQHOL3XPSG6NQEXNMN","short_pith_number":"pith:NF3N6MRF","schema_version":"1.0","canonical_sha256":"6976df3225440ee5eeef91bcd812ed6373fdcb666f32793306da8dd17c667ed4","source":{"kind":"arxiv","id":"quant-ph/0501137","version":2},"attestation_state":"computed","paper":{"title":"Multi-Instantons and Exact Results II: Specific Cases, Higher-Order Effects, and Numerical Calculations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jean Zinn-Justin, Ulrich D. Jentschura","submitted_at":"2005-01-24T20:07:32Z","abstract_excerpt":"In this second part of the treatment of instantons in quantum mechanics, the focus is on specific calculations related to a number of quantum mechanical potentials with degenerate minima. We calculate the leading multi-instanton constributions to the partition function, using the formalism introduced in the first part of the treatise [J. Zinn-Justin and U. D. Jentschura, e-print quant-ph/0501136]. The following potentials are considered: (i) asymmetric potentials with degenerate minima, (ii) the periodic cosine potential, (iii) anharmonic oscillators with radial symmetry, and (iv) a specific p"},"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":"quant-ph/0501137","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2005-01-24T20:07:32Z","cross_cats_sorted":[],"title_canon_sha256":"73297ca7a20b7166c281fc800170ca630d8bcb8da524bb32427df25c758df907","abstract_canon_sha256":"2427337c89115ae7d9187f3ad538156b63f35e84030a8bc3c91f93bc1d5fda51"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:46.704502Z","signature_b64":"HfAs7x6/P2cQjqits4NN4BOBAUgltjuFJYcFMG5qidSfiAA2IcifPeWnMpcKwWwuScfPPb6TAZVyk0QTqtE5AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6976df3225440ee5eeef91bcd812ed6373fdcb666f32793306da8dd17c667ed4","last_reissued_at":"2026-05-18T03:13:46.703678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:46.703678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-Instantons and Exact Results II: Specific Cases, Higher-Order Effects, and Numerical Calculations","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jean Zinn-Justin, Ulrich D. Jentschura","submitted_at":"2005-01-24T20:07:32Z","abstract_excerpt":"In this second part of the treatment of instantons in quantum mechanics, the focus is on specific calculations related to a number of quantum mechanical potentials with degenerate minima. We calculate the leading multi-instanton constributions to the partition function, using the formalism introduced in the first part of the treatise [J. Zinn-Justin and U. D. Jentschura, e-print quant-ph/0501136]. The following potentials are considered: (i) asymmetric potentials with degenerate minima, (ii) the periodic cosine potential, (iii) anharmonic oscillators with radial symmetry, and (iv) a specific p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0501137","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":"quant-ph/0501137","created_at":"2026-05-18T03:13:46.703806+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0501137v2","created_at":"2026-05-18T03:13:46.703806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0501137","created_at":"2026-05-18T03:13:46.703806+00:00"},{"alias_kind":"pith_short_12","alias_value":"NF3N6MRFIQHO","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"NF3N6MRFIQHOL3XP","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"NF3N6MRF","created_at":"2026-05-18T12:25:53.335082+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":22,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14279","citing_title":"Beyond the Dilute Instanton Gas: Resurgence with Exact Saddles in the Double Well","ref_index":16,"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":22,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN","json":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN.json","graph_json":"https://pith.science/api/pith-number/NF3N6MRFIQHOL3XPSG6NQEXNMN/graph.json","events_json":"https://pith.science/api/pith-number/NF3N6MRFIQHOL3XPSG6NQEXNMN/events.json","paper":"https://pith.science/paper/NF3N6MRF"},"agent_actions":{"view_html":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN","download_json":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN.json","view_paper":"https://pith.science/paper/NF3N6MRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0501137&json=true","fetch_graph":"https://pith.science/api/pith-number/NF3N6MRFIQHOL3XPSG6NQEXNMN/graph.json","fetch_events":"https://pith.science/api/pith-number/NF3N6MRFIQHOL3XPSG6NQEXNMN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN/action/storage_attestation","attest_author":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN/action/author_attestation","sign_citation":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN/action/citation_signature","submit_replication":"https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN/action/replication_record"}},"created_at":"2026-05-18T03:13:46.703806+00:00","updated_at":"2026-05-18T03:13:46.703806+00:00"}