{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:RP3Y4VF575NYUL6LVKTKRPUNLR","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":"9783355e595f1a69cb1e8ded4493a8c66e61c70c8b269e832a3658cfe8f61155","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.CC","submitted_at":"2021-07-13T02:07:49Z","title_canon_sha256":"85be5edfd2bad4beed480bf826afcdea2bbd03b7f94689fe457f85a4458c9db0"},"schema_version":"1.0","source":{"id":"2107.05810","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.05810","created_at":"2026-07-05T02:57:28Z"},{"alias_kind":"arxiv_version","alias_value":"2107.05810v1","created_at":"2026-07-05T02:57:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.05810","created_at":"2026-07-05T02:57:28Z"},{"alias_kind":"pith_short_12","alias_value":"RP3Y4VF575NY","created_at":"2026-07-05T02:57:28Z"},{"alias_kind":"pith_short_16","alias_value":"RP3Y4VF575NYUL6L","created_at":"2026-07-05T02:57:28Z"},{"alias_kind":"pith_short_8","alias_value":"RP3Y4VF5","created_at":"2026-07-05T02:57:28Z"}],"graph_snapshots":[{"event_id":"sha256:17c8ed2e85b080a7f2c04e371b00d921b2ecb166e9c31ba76389221d3439eabd","target":"graph","created_at":"2026-07-05T02:57:28Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2107.05810/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two widely-used computational paradigms for sublinear algorithms are using linear measurements to perform computations on a high dimensional input and using structured queries to access a massive input. Typically, algorithms in the former paradigm are non-adaptive whereas those in the latter are highly adaptive. This work studies the fundamental search problem of \\textsc{element-extraction} in a query model that combines both: linear measurements with bounded adaptivity.\n  In the \\textsc{element-extraction} problem, one is given a nonzero vector $\\mathbf{z} = (z_1,\\ldots,z_n) \\in \\{0,1\\}^n$ an","authors_text":"Amit Chakrabarti, Manuel Stoeckl","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.CC","submitted_at":"2021-07-13T02:07:49Z","title":"The Element Extraction Problem and the Cost of Determinism and Limited Adaptivity in Linear Queries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.05810","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:bcf3d9fac6f98ea76a6bffd3fbd437df2fd837aa7c9c04ecb048c17c63ba0e8d","target":"record","created_at":"2026-07-05T02:57:28Z","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":"9783355e595f1a69cb1e8ded4493a8c66e61c70c8b269e832a3658cfe8f61155","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.CC","submitted_at":"2021-07-13T02:07:49Z","title_canon_sha256":"85be5edfd2bad4beed480bf826afcdea2bbd03b7f94689fe457f85a4458c9db0"},"schema_version":"1.0","source":{"id":"2107.05810","kind":"arxiv","version":1}},"canonical_sha256":"8bf78e54bdff5b8a2fcbaaa6a8be8d5c6632510eb4cbd47d75d0acde2293a782","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bf78e54bdff5b8a2fcbaaa6a8be8d5c6632510eb4cbd47d75d0acde2293a782","first_computed_at":"2026-07-05T02:57:28.530582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:57:28.530582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9zW0/ibdlv770blna9v+xiwC6encQTUAKykCuulEfc0nrK8jv0cwYiQwnAmXe87YNHrGBu3SYOst3eVFPYpJBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:57:28.530981Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.05810","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bcf3d9fac6f98ea76a6bffd3fbd437df2fd837aa7c9c04ecb048c17c63ba0e8d","sha256:17c8ed2e85b080a7f2c04e371b00d921b2ecb166e9c31ba76389221d3439eabd"],"state_sha256":"4ad5a849aec9c7e43911ed634fb6f86fcadfe58531788e7273731edfae0cf08e"}