{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:ALEJXUGAPVRHIJNYQUXPESSBA3","short_pith_number":"pith:ALEJXUGA","canonical_record":{"source":{"id":"math/0003175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2000-03-27T18:28:43Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"a47c6be5c7606b730eb66d3e81154ee2bc4a77c0b9d68bd8a234896507e86b0c","abstract_canon_sha256":"1788719130534dcf5c785adf2a2eb66137286aa6d9eee2f07534912b1c44e9ca"},"schema_version":"1.0"},"canonical_sha256":"02c89bd0c07d627425b8852ef24a4106f252a7a484cb1199c540e42300aa3ceb","source":{"kind":"arxiv","id":"math/0003175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0003175","created_at":"2026-05-18T03:17:54Z"},{"alias_kind":"arxiv_version","alias_value":"math/0003175v1","created_at":"2026-05-18T03:17:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0003175","created_at":"2026-05-18T03:17:54Z"},{"alias_kind":"pith_short_12","alias_value":"ALEJXUGAPVRH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ALEJXUGAPVRHIJNY","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ALEJXUGA","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:ALEJXUGAPVRHIJNYQUXPESSBA3","target":"record","payload":{"canonical_record":{"source":{"id":"math/0003175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.CV","submitted_at":"2000-03-27T18:28:43Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"a47c6be5c7606b730eb66d3e81154ee2bc4a77c0b9d68bd8a234896507e86b0c","abstract_canon_sha256":"1788719130534dcf5c785adf2a2eb66137286aa6d9eee2f07534912b1c44e9ca"},"schema_version":"1.0"},"canonical_sha256":"02c89bd0c07d627425b8852ef24a4106f252a7a484cb1199c540e42300aa3ceb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:54.393508Z","signature_b64":"OiCfkGcaZEB8gdAcYzBUftCfpExRO2In4w3NS6zl+uo6ttRXsb8cV7axT/2hq66O5vgKkRtKRkYEvuBaiijODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02c89bd0c07d627425b8852ef24a4106f252a7a484cb1199c540e42300aa3ceb","last_reissued_at":"2026-05-18T03:17:54.392850Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:54.392850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0003175","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":"2026-05-18T03:17:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZEaDyj643900+XRsccZKePepMUl6FXiQuuAVU63HDAcYWIGWBlcaKxsQ4udDdtFYfNjXkLVM2t1aEhKITOLHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:18:36.204125Z"},"content_sha256":"b9e6c5e3d6ded3fbe59c67a856dfc0c7a414da875771bc43983f5436c111adbc","schema_version":"1.0","event_id":"sha256:b9e6c5e3d6ded3fbe59c67a856dfc0c7a414da875771bc43983f5436c111adbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:ALEJXUGAPVRHIJNYQUXPESSBA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On zeros of polynomials orthogonal over a convex domain","license":"","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"I. E. Pritsker, R. S. Varga, V. V. Andrievskii","submitted_at":"2000-03-27T18:28:43Z","abstract_excerpt":"We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result concerning the distribution of zeros of polynomials orthogonal on a convex domain."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0003175","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":"2026-05-18T03:17:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lrpi51VyGpz426tUQ83lpXVDc6q/A4w1DQGQ+7wBRtF/nORtzkPlJQW3kvDD+xHR8hrVAuEYCATpKCf11Kj+Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T09:18:36.204496Z"},"content_sha256":"fd2e55fd663431fbcd9a0accfd8c02ddd86d437b18fd26272a267ce2d8d9aff0","schema_version":"1.0","event_id":"sha256:fd2e55fd663431fbcd9a0accfd8c02ddd86d437b18fd26272a267ce2d8d9aff0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ALEJXUGAPVRHIJNYQUXPESSBA3/bundle.json","state_url":"https://pith.science/pith/ALEJXUGAPVRHIJNYQUXPESSBA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ALEJXUGAPVRHIJNYQUXPESSBA3/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":"2026-06-24T09:18:36Z","links":{"resolver":"https://pith.science/pith/ALEJXUGAPVRHIJNYQUXPESSBA3","bundle":"https://pith.science/pith/ALEJXUGAPVRHIJNYQUXPESSBA3/bundle.json","state":"https://pith.science/pith/ALEJXUGAPVRHIJNYQUXPESSBA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ALEJXUGAPVRHIJNYQUXPESSBA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:ALEJXUGAPVRHIJNYQUXPESSBA3","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":"1788719130534dcf5c785adf2a2eb66137286aa6d9eee2f07534912b1c44e9ca","cross_cats_sorted":["math.CA"],"license":"","primary_cat":"math.CV","submitted_at":"2000-03-27T18:28:43Z","title_canon_sha256":"a47c6be5c7606b730eb66d3e81154ee2bc4a77c0b9d68bd8a234896507e86b0c"},"schema_version":"1.0","source":{"id":"math/0003175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0003175","created_at":"2026-05-18T03:17:54Z"},{"alias_kind":"arxiv_version","alias_value":"math/0003175v1","created_at":"2026-05-18T03:17:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0003175","created_at":"2026-05-18T03:17:54Z"},{"alias_kind":"pith_short_12","alias_value":"ALEJXUGAPVRH","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ALEJXUGAPVRHIJNY","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ALEJXUGA","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:fd2e55fd663431fbcd9a0accfd8c02ddd86d437b18fd26272a267ce2d8d9aff0","target":"graph","created_at":"2026-05-18T03:17:54Z","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":"We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result concerning the distribution of zeros of polynomials orthogonal on a convex domain.","authors_text":"I. E. Pritsker, R. S. Varga, V. V. Andrievskii","cross_cats":["math.CA"],"headline":"","license":"","primary_cat":"math.CV","submitted_at":"2000-03-27T18:28:43Z","title":"On zeros of polynomials orthogonal over a convex domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0003175","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:b9e6c5e3d6ded3fbe59c67a856dfc0c7a414da875771bc43983f5436c111adbc","target":"record","created_at":"2026-05-18T03:17:54Z","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":"1788719130534dcf5c785adf2a2eb66137286aa6d9eee2f07534912b1c44e9ca","cross_cats_sorted":["math.CA"],"license":"","primary_cat":"math.CV","submitted_at":"2000-03-27T18:28:43Z","title_canon_sha256":"a47c6be5c7606b730eb66d3e81154ee2bc4a77c0b9d68bd8a234896507e86b0c"},"schema_version":"1.0","source":{"id":"math/0003175","kind":"arxiv","version":1}},"canonical_sha256":"02c89bd0c07d627425b8852ef24a4106f252a7a484cb1199c540e42300aa3ceb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02c89bd0c07d627425b8852ef24a4106f252a7a484cb1199c540e42300aa3ceb","first_computed_at":"2026-05-18T03:17:54.392850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:54.392850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OiCfkGcaZEB8gdAcYzBUftCfpExRO2In4w3NS6zl+uo6ttRXsb8cV7axT/2hq66O5vgKkRtKRkYEvuBaiijODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:54.393508Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0003175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9e6c5e3d6ded3fbe59c67a856dfc0c7a414da875771bc43983f5436c111adbc","sha256:fd2e55fd663431fbcd9a0accfd8c02ddd86d437b18fd26272a267ce2d8d9aff0"],"state_sha256":"fb39a93193190fbe371d32964e31567243c8a1edea1a8a1699dac0929d96b6a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o506CvcFEoj+F6SggEcWbMjL+w/+PPCfQ/1QI46vGpuxUqOqW62RFw8k18g5gvZt9qYe9cjHDgaF7OjNaTdbDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T09:18:36.206437Z","bundle_sha256":"b3f3ceb8e57d263eff0aeb13f6840e98ae6143463ff6e61c8652224f68d7bc59"}}