{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:5UTKQAUJE75XN3A3BNG2QP4DMN","short_pith_number":"pith:5UTKQAUJ","schema_version":"1.0","canonical_sha256":"ed26a8028927fb76ec1b0b4da83f836354c4b5415632f50e8a691b3a3742e7e7","source":{"kind":"arxiv","id":"math/0303045","version":1},"attestation_state":"computed","paper":{"title":"Feynman Diagrams and Wick Products Associated with $q$-Fock spaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Edward G. Effros, Mihai Popa","submitted_at":"2003-03-04T21:32:13Z","abstract_excerpt":"It is shown that if one keeps track of crossings, Feynman diagrams can be used to compute $q$-Wick products and normal products in terms of each other."},"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":"math/0303045","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"2003-03-04T21:32:13Z","cross_cats_sorted":[],"title_canon_sha256":"12f8bc1446877b696a784557411ee99ad0d4c4002a0bef22fe54d7671dc2fa74","abstract_canon_sha256":"9f81a718f20481817ab45aa7f45f58f51a7ba008e7b37d454bf3c88bed0b8c9a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:40.214730Z","signature_b64":"WiLCsAwD4THiXWpHsE/o+OmsPxxFSFxgUJH3kocbqmzqf+u3Yo+YjrnhgqAaZgX9hmk26seh4Qidw4WC5yP+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed26a8028927fb76ec1b0b4da83f836354c4b5415632f50e8a691b3a3742e7e7","last_reissued_at":"2026-07-04T16:41:40.214277Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:40.214277Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Feynman Diagrams and Wick Products Associated with $q$-Fock spaces","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Edward G. Effros, Mihai Popa","submitted_at":"2003-03-04T21:32:13Z","abstract_excerpt":"It is shown that if one keeps track of crossings, Feynman diagrams can be used to compute $q$-Wick products and normal products in terms of each other."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0303045","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0303045/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":"math/0303045","created_at":"2026-07-04T16:41:40.214368+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0303045v1","created_at":"2026-07-04T16:41:40.214368+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0303045","created_at":"2026-07-04T16:41:40.214368+00:00"},{"alias_kind":"pith_short_12","alias_value":"5UTKQAUJE75X","created_at":"2026-07-04T16:41:40.214368+00:00"},{"alias_kind":"pith_short_16","alias_value":"5UTKQAUJE75XN3A3","created_at":"2026-07-04T16:41:40.214368+00:00"},{"alias_kind":"pith_short_8","alias_value":"5UTKQAUJ","created_at":"2026-07-04T16:41:40.214368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.07948","citing_title":"Noncommutative Regularity Structures","ref_index":2162,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN","json":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN.json","graph_json":"https://pith.science/api/pith-number/5UTKQAUJE75XN3A3BNG2QP4DMN/graph.json","events_json":"https://pith.science/api/pith-number/5UTKQAUJE75XN3A3BNG2QP4DMN/events.json","paper":"https://pith.science/paper/5UTKQAUJ"},"agent_actions":{"view_html":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN","download_json":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN.json","view_paper":"https://pith.science/paper/5UTKQAUJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0303045&json=true","fetch_graph":"https://pith.science/api/pith-number/5UTKQAUJE75XN3A3BNG2QP4DMN/graph.json","fetch_events":"https://pith.science/api/pith-number/5UTKQAUJE75XN3A3BNG2QP4DMN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN/action/storage_attestation","attest_author":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN/action/author_attestation","sign_citation":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN/action/citation_signature","submit_replication":"https://pith.science/pith/5UTKQAUJE75XN3A3BNG2QP4DMN/action/replication_record"}},"created_at":"2026-07-04T16:41:40.214368+00:00","updated_at":"2026-07-04T16:41:40.214368+00:00"}