{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:UGGR4BSHAFRLRER37TJ7CESQYM","short_pith_number":"pith:UGGR4BSH","canonical_record":{"source":{"id":"1412.0326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-12-01T01:43:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1eab3149f7314f1fa3a496b2cdd4765a96a7be26ade51375d18e292a9d367048","abstract_canon_sha256":"4ba756f1f64bcc936baa9881f273474423eac7a4da62a3b7068d0675e65d7564"},"schema_version":"1.0"},"canonical_sha256":"a18d1e06470162b8923bfcd3f11250c30257d424c1d4f3497672acb0323ce011","source":{"kind":"arxiv","id":"1412.0326","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0326","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0326v1","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0326","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"UGGR4BSHAFRL","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UGGR4BSHAFRLRER3","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UGGR4BSH","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:UGGR4BSHAFRLRER37TJ7CESQYM","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0326","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-12-01T01:43:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1eab3149f7314f1fa3a496b2cdd4765a96a7be26ade51375d18e292a9d367048","abstract_canon_sha256":"4ba756f1f64bcc936baa9881f273474423eac7a4da62a3b7068d0675e65d7564"},"schema_version":"1.0"},"canonical_sha256":"a18d1e06470162b8923bfcd3f11250c30257d424c1d4f3497672acb0323ce011","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:28.077262Z","signature_b64":"T03SmApUSintJ9Xs2Mng8frSHaueRZ+Ydgke7WBN9/flh77doEP4XximJYtSmZHZvKY0HHzxslcDrZsfgHErDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a18d1e06470162b8923bfcd3f11250c30257d424c1d4f3497672acb0323ce011","last_reissued_at":"2026-05-18T02:32:28.076902Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:28.076902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0326","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z+6LiT5QfNyc9Gox30NcthcUTKGN/e5uPyDdE1NyUXIOHNGiq2J0hd3cxKSepsCBx8FJqGG6RtOPbc/mM/SiCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:22:40.409896Z"},"content_sha256":"16753742690f4baa69ae9e3079d2593d7d98e7d75eabc29253277c4492a7cfc9","schema_version":"1.0","event_id":"sha256:16753742690f4baa69ae9e3079d2593d7d98e7d75eabc29253277c4492a7cfc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:UGGR4BSHAFRLRER37TJ7CESQYM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slater determinants of orthogonal polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.CA","authors_text":"Dimitar Dimitrov, Yuan Xu","submitted_at":"2014-12-01T01:43:29Z","abstract_excerpt":"The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0326","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hFkrJQsKGG/HtTnqOma3oTnJybZNexrufDgt0ibbPSjpmGm9NAugp7TFjiswDB/w+RVgS5rOBN3/Lh/lTEHVBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:22:40.410311Z"},"content_sha256":"c930b2cb64c8f1dece29d1dd0a01319438fe2bea7be23491ac9b4fe61406710e","schema_version":"1.0","event_id":"sha256:c930b2cb64c8f1dece29d1dd0a01319438fe2bea7be23491ac9b4fe61406710e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGGR4BSHAFRLRER37TJ7CESQYM/bundle.json","state_url":"https://pith.science/pith/UGGR4BSHAFRLRER37TJ7CESQYM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGGR4BSHAFRLRER37TJ7CESQYM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T03:22:40Z","links":{"resolver":"https://pith.science/pith/UGGR4BSHAFRLRER37TJ7CESQYM","bundle":"https://pith.science/pith/UGGR4BSHAFRLRER37TJ7CESQYM/bundle.json","state":"https://pith.science/pith/UGGR4BSHAFRLRER37TJ7CESQYM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGGR4BSHAFRLRER37TJ7CESQYM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:UGGR4BSHAFRLRER37TJ7CESQYM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4ba756f1f64bcc936baa9881f273474423eac7a4da62a3b7068d0675e65d7564","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-12-01T01:43:29Z","title_canon_sha256":"1eab3149f7314f1fa3a496b2cdd4765a96a7be26ade51375d18e292a9d367048"},"schema_version":"1.0","source":{"id":"1412.0326","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0326","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0326v1","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0326","created_at":"2026-05-18T02:32:28Z"},{"alias_kind":"pith_short_12","alias_value":"UGGR4BSHAFRL","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"UGGR4BSHAFRLRER3","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"UGGR4BSH","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:c930b2cb64c8f1dece29d1dd0a01319438fe2bea7be23491ac9b4fe61406710e","target":"graph","created_at":"2026-05-18T02:32:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The symmetrized Slater determinants of orthogonal polynomials with respect to a non-negative Borel measure are shown to be represented by constant multiple of Hankel determinants of two other families of polynomials, and they can also be written in terms of Selberg type integrals. Applications include positive determinants of polynomials of several variables and Jensen polynomials and its derivatives for entire functions.","authors_text":"Dimitar Dimitrov, Yuan Xu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-12-01T01:43:29Z","title":"Slater determinants of orthogonal polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0326","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:16753742690f4baa69ae9e3079d2593d7d98e7d75eabc29253277c4492a7cfc9","target":"record","created_at":"2026-05-18T02:32:28Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4ba756f1f64bcc936baa9881f273474423eac7a4da62a3b7068d0675e65d7564","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-12-01T01:43:29Z","title_canon_sha256":"1eab3149f7314f1fa3a496b2cdd4765a96a7be26ade51375d18e292a9d367048"},"schema_version":"1.0","source":{"id":"1412.0326","kind":"arxiv","version":1}},"canonical_sha256":"a18d1e06470162b8923bfcd3f11250c30257d424c1d4f3497672acb0323ce011","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a18d1e06470162b8923bfcd3f11250c30257d424c1d4f3497672acb0323ce011","first_computed_at":"2026-05-18T02:32:28.076902Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:28.076902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T03SmApUSintJ9Xs2Mng8frSHaueRZ+Ydgke7WBN9/flh77doEP4XximJYtSmZHZvKY0HHzxslcDrZsfgHErDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:28.077262Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0326","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16753742690f4baa69ae9e3079d2593d7d98e7d75eabc29253277c4492a7cfc9","sha256:c930b2cb64c8f1dece29d1dd0a01319438fe2bea7be23491ac9b4fe61406710e"],"state_sha256":"f919a0f0560043af24bfb92cb41e99dde268ec9926efde3b2e4f4c4a78aea6d0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ww87++nSTlJLvj7hoeTE8EcL4iil02SRZbdWL+s2IckmbLENZEasmE45pDYRS+nGDNS1XNUFA764WsVRxeX7AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:22:40.414177Z","bundle_sha256":"6e83a1e1a3c71fc75c0df62e797df81b2e0345a73f44fb22888252ba1a54ce5a"}}