{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3GGMQROMIYZIO3SSBVD4OADN4S","short_pith_number":"pith:3GGMQROM","canonical_record":{"source":{"id":"1202.3505","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-02-16T03:07:35Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"d3d66f5f0604657aca00e85c11f1dbad3aa38aa7dc178502228d6a56c32b5043","abstract_canon_sha256":"ef306f9ee4fd10e94585132552191c04886670b6746d50cd034c81b98627b69a"},"schema_version":"1.0"},"canonical_sha256":"d98cc845cc4632876e520d47c7006de4a217ade8af0fe3b98351ad835c1bed11","source":{"kind":"arxiv","id":"1202.3505","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3505","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3505v2","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3505","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"3GGMQROMIYZI","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3GGMQROMIYZIO3SS","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3GGMQROM","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3GGMQROMIYZIO3SSBVD4OADN4S","target":"record","payload":{"canonical_record":{"source":{"id":"1202.3505","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-02-16T03:07:35Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"d3d66f5f0604657aca00e85c11f1dbad3aa38aa7dc178502228d6a56c32b5043","abstract_canon_sha256":"ef306f9ee4fd10e94585132552191c04886670b6746d50cd034c81b98627b69a"},"schema_version":"1.0"},"canonical_sha256":"d98cc845cc4632876e520d47c7006de4a217ade8af0fe3b98351ad835c1bed11","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:57.055047Z","signature_b64":"+pt2w1A3BCY66zZLNQI0/Q2THj+dLEUvhHYnWczOUyIxVZFWZTQnhuBhJdRpqR0sUbDfpndiTPF9JU/rsQ27DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d98cc845cc4632876e520d47c7006de4a217ade8af0fe3b98351ad835c1bed11","last_reissued_at":"2026-05-18T00:57:57.054567Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:57.054567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.3505","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:57:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RBfQLJSmI/kLYQ+YdmR2ZlD9+EZMM2tape/gtnIP6PQQeP0QazYHbE0k+YG5iBc/BDJnsRiPOSmMAcgkfcqrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:31:45.408571Z"},"content_sha256":"c61d415e22dc37a5a01eb49c3e81011264bd3ab5b437769c3b42642ab6db9238","schema_version":"1.0","event_id":"sha256:c61d415e22dc37a5a01eb49c3e81011264bd3ab5b437769c3b42642ab6db9238"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3GGMQROMIYZIO3SSBVD4OADN4S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near-optimal Coresets For Least-Squares Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.DS","authors_text":"Christos Boutsidis, Malik Magdon-Ismail, Petros Drineas","submitted_at":"2012-02-16T03:07:35Z","abstract_excerpt":"We study (constrained) least-squares regression as well as multiple response least-squares regression and ask the question of whether a subset of the data, a coreset, suffices to compute a good approximate solution to the regression. We give deterministic, low order polynomial-time algorithms to construct such coresets with approximation guarantees, together with lower bounds indicating that there is not much room for improvement upon our results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3505","kind":"arxiv","version":2},"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":"2026-05-18T00:57:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j3lsE6uT5lCSL76IVtIIftoIF7BB/nPSR9aEIzP7bepA/dmONmU6x93mB8rbakU6TUUI1VSausJMXvDqAAMHCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:31:45.409245Z"},"content_sha256":"5406b8f768ef273c3e21994c61e30938fbbedeb1727c14e32b39187dd40a1b8c","schema_version":"1.0","event_id":"sha256:5406b8f768ef273c3e21994c61e30938fbbedeb1727c14e32b39187dd40a1b8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3GGMQROMIYZIO3SSBVD4OADN4S/bundle.json","state_url":"https://pith.science/pith/3GGMQROMIYZIO3SSBVD4OADN4S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3GGMQROMIYZIO3SSBVD4OADN4S/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":"2026-05-26T00:31:45Z","links":{"resolver":"https://pith.science/pith/3GGMQROMIYZIO3SSBVD4OADN4S","bundle":"https://pith.science/pith/3GGMQROMIYZIO3SSBVD4OADN4S/bundle.json","state":"https://pith.science/pith/3GGMQROMIYZIO3SSBVD4OADN4S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3GGMQROMIYZIO3SSBVD4OADN4S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3GGMQROMIYZIO3SSBVD4OADN4S","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":"ef306f9ee4fd10e94585132552191c04886670b6746d50cd034c81b98627b69a","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-02-16T03:07:35Z","title_canon_sha256":"d3d66f5f0604657aca00e85c11f1dbad3aa38aa7dc178502228d6a56c32b5043"},"schema_version":"1.0","source":{"id":"1202.3505","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.3505","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"arxiv_version","alias_value":"1202.3505v2","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.3505","created_at":"2026-05-18T00:57:57Z"},{"alias_kind":"pith_short_12","alias_value":"3GGMQROMIYZI","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3GGMQROMIYZIO3SS","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3GGMQROM","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:5406b8f768ef273c3e21994c61e30938fbbedeb1727c14e32b39187dd40a1b8c","target":"graph","created_at":"2026-05-18T00:57:57Z","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 study (constrained) least-squares regression as well as multiple response least-squares regression and ask the question of whether a subset of the data, a coreset, suffices to compute a good approximate solution to the regression. We give deterministic, low order polynomial-time algorithms to construct such coresets with approximation guarantees, together with lower bounds indicating that there is not much room for improvement upon our results.","authors_text":"Christos Boutsidis, Malik Magdon-Ismail, Petros Drineas","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-02-16T03:07:35Z","title":"Near-optimal Coresets For Least-Squares Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.3505","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:c61d415e22dc37a5a01eb49c3e81011264bd3ab5b437769c3b42642ab6db9238","target":"record","created_at":"2026-05-18T00:57:57Z","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":"ef306f9ee4fd10e94585132552191c04886670b6746d50cd034c81b98627b69a","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2012-02-16T03:07:35Z","title_canon_sha256":"d3d66f5f0604657aca00e85c11f1dbad3aa38aa7dc178502228d6a56c32b5043"},"schema_version":"1.0","source":{"id":"1202.3505","kind":"arxiv","version":2}},"canonical_sha256":"d98cc845cc4632876e520d47c7006de4a217ade8af0fe3b98351ad835c1bed11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d98cc845cc4632876e520d47c7006de4a217ade8af0fe3b98351ad835c1bed11","first_computed_at":"2026-05-18T00:57:57.054567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:57.054567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+pt2w1A3BCY66zZLNQI0/Q2THj+dLEUvhHYnWczOUyIxVZFWZTQnhuBhJdRpqR0sUbDfpndiTPF9JU/rsQ27DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:57.055047Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.3505","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c61d415e22dc37a5a01eb49c3e81011264bd3ab5b437769c3b42642ab6db9238","sha256:5406b8f768ef273c3e21994c61e30938fbbedeb1727c14e32b39187dd40a1b8c"],"state_sha256":"60fcc6f0ee67bb69dd4ef2c50e02f706a0562a1c7b159def4a2593911be7c6d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mjx9X27Yr25v8wxoS3ypeAiHz1FndqX3cB0exSyVr1u7xL2kpt7NLZlkPC2Uq/5hI/2jDp6E4KScGNngwTHlCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:31:45.412349Z","bundle_sha256":"acfa6d6f8c0c489e1aa9419ac35abb1bc64f46a94b7a8751ac58b897cb63ad66"}}