{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:KIBEQAIFRRQ7UROPUIGE2FEYM6","short_pith_number":"pith:KIBEQAIF","canonical_record":{"source":{"id":"1604.02928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-04-06T12:24:39Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"559e96cae5a0c6e81cb4d404518313910d86602e996b16f148bad7a125579adc","abstract_canon_sha256":"8a80011a8b4891009e31efd53ec4bb1caa6e3b0559b977ea4c93c96934373ecb"},"schema_version":"1.0"},"canonical_sha256":"52024801058c61fa45cfa20c4d1498678473be8fc4687beb396db0e51d7466f9","source":{"kind":"arxiv","id":"1604.02928","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02928","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02928v1","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02928","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"KIBEQAIFRRQ7","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KIBEQAIFRRQ7UROP","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KIBEQAIF","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:KIBEQAIFRRQ7UROPUIGE2FEYM6","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02928","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-04-06T12:24:39Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"559e96cae5a0c6e81cb4d404518313910d86602e996b16f148bad7a125579adc","abstract_canon_sha256":"8a80011a8b4891009e31efd53ec4bb1caa6e3b0559b977ea4c93c96934373ecb"},"schema_version":"1.0"},"canonical_sha256":"52024801058c61fa45cfa20c4d1498678473be8fc4687beb396db0e51d7466f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:21.848991Z","signature_b64":"vfJJKhG5Q3BOeMOTe2Ekw78Y80bR0lwACo45M3li7gsnyberHolJKv6HQVa9jlsYdykscylIKsTNBBH+1LKiCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"52024801058c61fa45cfa20c4d1498678473be8fc4687beb396db0e51d7466f9","last_reissued_at":"2026-05-18T01:17:21.848621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:21.848621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02928","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":"2026-05-18T01:17:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y1oPvSe/mtCPX+l+7Ma25NLODlBap96C5zEsOCVWzm6g0epmB0EjbmZ2jVroRed4c+cPDnr5FP5BSl2/yWnVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:28:06.423523Z"},"content_sha256":"7c4543022bb2651a3281682bc73b26530f197840cdf86d45e33c179f5f2894d8","schema_version":"1.0","event_id":"sha256:7c4543022bb2651a3281682bc73b26530f197840cdf86d45e33c179f5f2894d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:KIBEQAIFRRQ7UROPUIGE2FEYM6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equivariant adjusted least squares estimator in two-line fitting model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"stat.ME","authors_text":"Sergiy Shklyar","submitted_at":"2016-04-06T12:24:39Z","abstract_excerpt":"We consider the two-line fitting problem. True points lie on two straight lines and are observed with Gaussian perturbations. For each observed point, it is not known on which line the corresponding true point lies. The parameters of the lines are estimated. This model is a restriction of the conic section fitting model because a couple of two lines is a degenerate conic section. The following estimators are constructed: two projections of the adjusted least squares estimator in the conic section fitting model, orthogonal regression estimator, parametric maximum likelihood estimator in the Gau"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02928","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":"2026-05-18T01:17:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O6E1ewwlCPtQVR1FKAh23dwctuWv4SJEEJQUyOAL84gzCv8ux6TOMm0ubV6eCaIg5IGwqx3zQQwHszZIdtyTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:28:06.423870Z"},"content_sha256":"854f7e1402ec0a87d86f513cfa6f001c0dbb7a4f2baacc6394161a4172b5a45d","schema_version":"1.0","event_id":"sha256:854f7e1402ec0a87d86f513cfa6f001c0dbb7a4f2baacc6394161a4172b5a45d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6/bundle.json","state_url":"https://pith.science/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6/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":"2026-06-02T17:28:06Z","links":{"resolver":"https://pith.science/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6","bundle":"https://pith.science/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6/bundle.json","state":"https://pith.science/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KIBEQAIFRRQ7UROPUIGE2FEYM6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KIBEQAIFRRQ7UROPUIGE2FEYM6","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":"8a80011a8b4891009e31efd53ec4bb1caa6e3b0559b977ea4c93c96934373ecb","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-04-06T12:24:39Z","title_canon_sha256":"559e96cae5a0c6e81cb4d404518313910d86602e996b16f148bad7a125579adc"},"schema_version":"1.0","source":{"id":"1604.02928","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02928","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02928v1","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02928","created_at":"2026-05-18T01:17:21Z"},{"alias_kind":"pith_short_12","alias_value":"KIBEQAIFRRQ7","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KIBEQAIFRRQ7UROP","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KIBEQAIF","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:854f7e1402ec0a87d86f513cfa6f001c0dbb7a4f2baacc6394161a4172b5a45d","target":"graph","created_at":"2026-05-18T01:17:21Z","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 consider the two-line fitting problem. True points lie on two straight lines and are observed with Gaussian perturbations. For each observed point, it is not known on which line the corresponding true point lies. The parameters of the lines are estimated. This model is a restriction of the conic section fitting model because a couple of two lines is a degenerate conic section. The following estimators are constructed: two projections of the adjusted least squares estimator in the conic section fitting model, orthogonal regression estimator, parametric maximum likelihood estimator in the Gau","authors_text":"Sergiy Shklyar","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-04-06T12:24:39Z","title":"Equivariant adjusted least squares estimator in two-line fitting model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02928","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":"sha256:7c4543022bb2651a3281682bc73b26530f197840cdf86d45e33c179f5f2894d8","target":"record","created_at":"2026-05-18T01:17:21Z","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":"8a80011a8b4891009e31efd53ec4bb1caa6e3b0559b977ea4c93c96934373ecb","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-04-06T12:24:39Z","title_canon_sha256":"559e96cae5a0c6e81cb4d404518313910d86602e996b16f148bad7a125579adc"},"schema_version":"1.0","source":{"id":"1604.02928","kind":"arxiv","version":1}},"canonical_sha256":"52024801058c61fa45cfa20c4d1498678473be8fc4687beb396db0e51d7466f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"52024801058c61fa45cfa20c4d1498678473be8fc4687beb396db0e51d7466f9","first_computed_at":"2026-05-18T01:17:21.848621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:21.848621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vfJJKhG5Q3BOeMOTe2Ekw78Y80bR0lwACo45M3li7gsnyberHolJKv6HQVa9jlsYdykscylIKsTNBBH+1LKiCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:21.848991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02928","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c4543022bb2651a3281682bc73b26530f197840cdf86d45e33c179f5f2894d8","sha256:854f7e1402ec0a87d86f513cfa6f001c0dbb7a4f2baacc6394161a4172b5a45d"],"state_sha256":"f5773fd568687a40f61cedb8c1541a61da5a421e994c3b9d16315ff904b03190"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PPmFqza7B42oztv7h9gO8PdbI75km9sf4uXxJlR6IXWyvyYCqlGT3z1fkpXhQzXa9CHEnibRkydfqKGZomirAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:28:06.425865Z","bundle_sha256":"ada3a18de639863752942ca81df77095514b0bdad48c54c77428a94834383086"}}