{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WVANOQ47BQHSEA54VC6YN4JYPN","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":"b129db6fbeed51f580b695f50c1d4984dd19d00b715366c60f19c36aac9879e3","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-12-09T16:02:40Z","title_canon_sha256":"42f3caff655b4c03b862171c68197277c1ca2ca200599d514b13f38c5d55722b"},"schema_version":"1.0","source":{"id":"1312.2483","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.2483","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"arxiv_version","alias_value":"1312.2483v2","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.2483","created_at":"2026-05-18T02:55:48Z"},{"alias_kind":"pith_short_12","alias_value":"WVANOQ47BQHS","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WVANOQ47BQHSEA54","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WVANOQ47","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:2a79e1d5fc8c27fd737dc164b3baf895dd7165ef1b863b7c3c958e180422988b","target":"graph","created_at":"2026-05-18T02:55:48Z","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 give an AM protocol that allows the verifier to sample elements x from a probability distribution P, which is held by the prover. If the prover is honest, the verifier outputs (x, P(x)) with probability close to P(x). In case the prover is dishonest, one may hope for the following guarantee: if the verifier outputs (x, p), then the probability that the verifier outputs x is close to p. Simple examples show that this cannot be achieved. Instead, we show that the following weaker condition holds (in a well defined sense) on average: If (x, p) is output, then p is an upper bound on the probabi","authors_text":"Robin K\\\"unzler, Thomas Holenstein","cross_cats":["cs.CR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-12-09T16:02:40Z","title":"A Protocol for Generating Random Elements with their Probabilities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2483","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:d5936d5561f5355b0cd9d6044fb5e67e2fab1966fd1af02b83be471058662a3e","target":"record","created_at":"2026-05-18T02:55:48Z","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":"b129db6fbeed51f580b695f50c1d4984dd19d00b715366c60f19c36aac9879e3","cross_cats_sorted":["cs.CR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2013-12-09T16:02:40Z","title_canon_sha256":"42f3caff655b4c03b862171c68197277c1ca2ca200599d514b13f38c5d55722b"},"schema_version":"1.0","source":{"id":"1312.2483","kind":"arxiv","version":2}},"canonical_sha256":"b540d7439f0c0f2203bca8bd86f1387b4470c2e7d86b38e214f914f69acf22eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b540d7439f0c0f2203bca8bd86f1387b4470c2e7d86b38e214f914f69acf22eb","first_computed_at":"2026-05-18T02:55:48.101935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:48.101935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iMHgK8ajzhsq7CFh1V3ubKBRF2751/aLvShuczt99X+W9M9/LlmUM+iU130Uv0eXAa8Mdq26dkiGm8qZVCn1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:48.102504Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.2483","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5936d5561f5355b0cd9d6044fb5e67e2fab1966fd1af02b83be471058662a3e","sha256:2a79e1d5fc8c27fd737dc164b3baf895dd7165ef1b863b7c3c958e180422988b"],"state_sha256":"2830f14224b3e1e9120a73206682ec3e078fc94974bd7aeb032d7a11fb6b1283"}