{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LFPUK5IXV2YKOD7HPTMUY4B7ZM","short_pith_number":"pith:LFPUK5IX","schema_version":"1.0","canonical_sha256":"595f457517aeb0a70fe77cd94c703fcb2c063c52613c2045f3bf42fc4b6fa3af","source":{"kind":"arxiv","id":"1705.11149","version":1},"attestation_state":"computed","paper":{"title":"Universal Bounds for Large Determinants from Non-Commutative H\\\"older Inequalities in Fermionic Constructive Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"J.-B. Bru, W. de Siqueira Pedra","submitted_at":"2017-05-31T15:36:51Z","abstract_excerpt":"Efficiently bounding large determinants is an essential step in non-relativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms of powers of the strength $u\\in \\mathbb{R}$ of the interparticle interaction. We provide, for large determinants of fermionic convariances, sharp bounds which hold for all (bounded and unbounded, the latter not being limited to semibounded) one-particle Hamiltonians. We find the smallest universal determinant bound to be exactly $1$. In particular, the convergence of perturb"},"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":"1705.11149","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-31T15:36:51Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"a3d7e4bfe4669c5b68215fce711189faa5ea966375ace752e3c026d71dc87e3b","abstract_canon_sha256":"7c63bddac15b98236555c3ca2d4448c898e372c06312d87c35f08f59c5d5015b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:19.123093Z","signature_b64":"Mclg+J7jZtY30+Qbqbw2M4jFUM0LXUzzOZmxmNJxuGulwvAasspRvX/NVejDK82N32WOgBVu5Lq/SCJg8hSzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"595f457517aeb0a70fe77cd94c703fcb2c063c52613c2045f3bf42fc4b6fa3af","last_reissued_at":"2026-05-18T00:43:19.122349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:19.122349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Universal Bounds for Large Determinants from Non-Commutative H\\\"older Inequalities in Fermionic Constructive Quantum Field Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"J.-B. Bru, W. de Siqueira Pedra","submitted_at":"2017-05-31T15:36:51Z","abstract_excerpt":"Efficiently bounding large determinants is an essential step in non-relativistic fermionic constructive quantum field theory to prove the absolute convergence of the perturbation expansion of correlation functions in terms of powers of the strength $u\\in \\mathbb{R}$ of the interparticle interaction. We provide, for large determinants of fermionic convariances, sharp bounds which hold for all (bounded and unbounded, the latter not being limited to semibounded) one-particle Hamiltonians. We find the smallest universal determinant bound to be exactly $1$. In particular, the convergence of perturb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.11149","kind":"arxiv","version":1},"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":"1705.11149","created_at":"2026-05-18T00:43:19.122498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1705.11149v1","created_at":"2026-05-18T00:43:19.122498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.11149","created_at":"2026-05-18T00:43:19.122498+00:00"},{"alias_kind":"pith_short_12","alias_value":"LFPUK5IXV2YK","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LFPUK5IXV2YKOD7H","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LFPUK5IX","created_at":"2026-05-18T12:31:28.150371+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM","json":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM.json","graph_json":"https://pith.science/api/pith-number/LFPUK5IXV2YKOD7HPTMUY4B7ZM/graph.json","events_json":"https://pith.science/api/pith-number/LFPUK5IXV2YKOD7HPTMUY4B7ZM/events.json","paper":"https://pith.science/paper/LFPUK5IX"},"agent_actions":{"view_html":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM","download_json":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM.json","view_paper":"https://pith.science/paper/LFPUK5IX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1705.11149&json=true","fetch_graph":"https://pith.science/api/pith-number/LFPUK5IXV2YKOD7HPTMUY4B7ZM/graph.json","fetch_events":"https://pith.science/api/pith-number/LFPUK5IXV2YKOD7HPTMUY4B7ZM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM/action/storage_attestation","attest_author":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM/action/author_attestation","sign_citation":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM/action/citation_signature","submit_replication":"https://pith.science/pith/LFPUK5IXV2YKOD7HPTMUY4B7ZM/action/replication_record"}},"created_at":"2026-05-18T00:43:19.122498+00:00","updated_at":"2026-05-18T00:43:19.122498+00:00"}