{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6ACWZGSNQRXGZCKSUWWIFK4TWW","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":"27d4d60fe5497e267bb687aaa0af88b776938febd42db674bcdcfa4b3f2b7e84","cross_cats_sorted":["cs.CC","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-14T22:40:04Z","title_canon_sha256":"2bb4998c4b6b1c42c1ee29396fba430e1b6b3507c76f9a1fbf825977bb0c187f"},"schema_version":"1.0","source":{"id":"1411.4074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4074","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4074v1","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4074","created_at":"2026-05-18T02:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"6ACWZGSNQRXG","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6ACWZGSNQRXGZCKS","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6ACWZGSN","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:93b5d0b33cb4f1c10b86f56a07276c90a4c1630f4c05d1d1685c2b2e2aa09478","target":"graph","created_at":"2026-05-18T02:35:46Z","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":"Consider a central problem in randomized approximation schemes that use a Monte Carlo approach. Given a sequence of independent, identically distributed random variables $X_1,X_2,\\ldots$ with mean $\\mu$ and standard deviation at most $c \\mu$, where $c$ is a known constant, and $\\epsilon,\\delta > 0$, create an estimate $\\hat \\mu$ for $\\mu$ such that $\\text{P}(|\\hat \\mu - \\mu| > \\epsilon \\mu) \\leq \\delta$. This technique has been used for building randomized approximation schemes for the volume of a convex body, the permanent of a nonnegative matrix, the number of linear extensions of a poset, t","authors_text":"Mark Huber","cross_cats":["cs.CC","math.PR","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-14T22:40:04Z","title":"Improving Monte Carlo randomized approximation schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4074","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":"sha256:37a0bd825e967f440b17b64968cb94a6ca58b9bf9e370e9c2ef08f0c64a994ed","target":"record","created_at":"2026-05-18T02:35:46Z","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":"27d4d60fe5497e267bb687aaa0af88b776938febd42db674bcdcfa4b3f2b7e84","cross_cats_sorted":["cs.CC","math.PR","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-11-14T22:40:04Z","title_canon_sha256":"2bb4998c4b6b1c42c1ee29396fba430e1b6b3507c76f9a1fbf825977bb0c187f"},"schema_version":"1.0","source":{"id":"1411.4074","kind":"arxiv","version":1}},"canonical_sha256":"f0056c9a4d846e6c8952a5ac82ab93b5bb27994c08e7e206d79505046993b941","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0056c9a4d846e6c8952a5ac82ab93b5bb27994c08e7e206d79505046993b941","first_computed_at":"2026-05-18T02:35:46.577404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:46.577404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Pl97lyEefn1pJk18mZbX4LbzT1oysJaiXQX8NMCg1/o0+H4SThOLDMFy6C47RzzuEKBnrsIXyOnLBdlkVXdCAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:46.577929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37a0bd825e967f440b17b64968cb94a6ca58b9bf9e370e9c2ef08f0c64a994ed","sha256:93b5d0b33cb4f1c10b86f56a07276c90a4c1630f4c05d1d1685c2b2e2aa09478"],"state_sha256":"525735707ef3fc2e24590bdba95a258a6774364643243e0fd643737580a6b1fc"}