{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:YMCFDEQXCQSYNXZGVFQEX26TA4","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":"999115cd67d459c35e666cbacea3cf6ed2ab86b75379784ab82aa0f60facd337","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-09-24T20:17:05Z","title_canon_sha256":"068a5f811c8669be938e789799553346a1328a6d35d50a261986e67d8d37f06e"},"schema_version":"1.0","source":{"id":"1809.09205","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.09205","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"arxiv_version","alias_value":"1809.09205v2","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.09205","created_at":"2026-05-17T23:53:50Z"},{"alias_kind":"pith_short_12","alias_value":"YMCFDEQXCQSY","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"YMCFDEQXCQSYNXZG","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"YMCFDEQX","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:f386fecda6e75f985fcc1c5272e6902c993c8c45d0c5846da526045c592ef239","target":"graph","created_at":"2026-05-17T23:53:50Z","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 compute up to a constant factor the Christoffel function on planar domains with boundary consisting of finitely many $C^2$ curves such that each corner point of the boundary has interior angle strictly between $0$ and $\\pi$. The resulting formula uses the distances from the point of interest to the curves or certain parts of the curves defining the boundary of the domain.","authors_text":"A. Prymak, O. Usoltseva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-09-24T20:17:05Z","title":"Christoffel function on planar domains with piecewise smooth boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.09205","kind":"arxiv","version":2},"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":"sha256:4f5e07be017c1f5e1789f517807e269a9ae3f0f3400a75d7800bc404501bef19","target":"record","created_at":"2026-05-17T23:53:50Z","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":"999115cd67d459c35e666cbacea3cf6ed2ab86b75379784ab82aa0f60facd337","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-09-24T20:17:05Z","title_canon_sha256":"068a5f811c8669be938e789799553346a1328a6d35d50a261986e67d8d37f06e"},"schema_version":"1.0","source":{"id":"1809.09205","kind":"arxiv","version":2}},"canonical_sha256":"c304519217142586df26a9604bebd3072ddae0e6ac21f1dccf02173e0e0f8352","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c304519217142586df26a9604bebd3072ddae0e6ac21f1dccf02173e0e0f8352","first_computed_at":"2026-05-17T23:53:50.696021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:50.696021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5j1pOpTLMOQVNh9Z/R4CwUhqH6Es7ZM3W/54n9y3x1dur9kT+E4UNfhp1j+8MdBxNKngwyqO7rCKFcqqh0esBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:50.696807Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.09205","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f5e07be017c1f5e1789f517807e269a9ae3f0f3400a75d7800bc404501bef19","sha256:f386fecda6e75f985fcc1c5272e6902c993c8c45d0c5846da526045c592ef239"],"state_sha256":"35d46427fda72de2ecdaa31ad25725c53aa547b9d3728837a88913147c5b1792"}