{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:574TKAWJYTGYKHXJUWOCO2Y7XV","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":"31db48ceadac2a7b3b9b9aed1a09efbebfee0b19f8fdbd12aeb17e938f5b0d9c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-08T17:57:40Z","title_canon_sha256":"42b03ee8da54baf82919f4702b0ce7f2c23ab2f75a75cc6018062e3c62f9c896"},"schema_version":"1.0","source":{"id":"1111.1995","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1995","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1995v3","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1995","created_at":"2026-05-18T00:58:18Z"},{"alias_kind":"pith_short_12","alias_value":"574TKAWJYTGY","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"574TKAWJYTGYKHXJ","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"574TKAWJ","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:2a3aff999b32db4c9a0a5ae51d3046a146badfd4694f5ab3839390a3c317781f","target":"graph","created_at":"2026-05-18T00:58:18Z","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":"This paper is focused on the moderate-deviations analysis of binary hypothesis testing. The analysis relies on a concentration inequality for discrete-parameter martingales with bounded jumps, where this inequality forms a refinement to the Azuma-Hoeffding inequality. Relations of the analysis to the moderate deviations principle for i.i.d. random variables and to the relative entropy are considered.","authors_text":"Igal Sason","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-08T17:57:40Z","title":"Moderate Deviations Analysis of Binary Hypothesis Testing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1995","kind":"arxiv","version":3},"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":"sha256:9cce39dd1424bd5d90e5a06268ddebfae9f2325b096b7460a51270a4a781a226","target":"record","created_at":"2026-05-18T00:58:18Z","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":"31db48ceadac2a7b3b9b9aed1a09efbebfee0b19f8fdbd12aeb17e938f5b0d9c","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-11-08T17:57:40Z","title_canon_sha256":"42b03ee8da54baf82919f4702b0ce7f2c23ab2f75a75cc6018062e3c62f9c896"},"schema_version":"1.0","source":{"id":"1111.1995","kind":"arxiv","version":3}},"canonical_sha256":"eff93502c9c4cd851ee9a59c276b1fbd713224c9fa4bdf4cfe47bcc6a2ee2031","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eff93502c9c4cd851ee9a59c276b1fbd713224c9fa4bdf4cfe47bcc6a2ee2031","first_computed_at":"2026-05-18T00:58:18.625660Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:18.625660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RFaijQp46RTgbdK4xW+peOWDsLibeWIld9axHNGig0zzETTBqeJLh/c8dYh+Czvh4h6cmNcuQyxYO0ZvswU1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:18.626389Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1995","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cce39dd1424bd5d90e5a06268ddebfae9f2325b096b7460a51270a4a781a226","sha256:2a3aff999b32db4c9a0a5ae51d3046a146badfd4694f5ab3839390a3c317781f"],"state_sha256":"d484df0cbff0e18599cd55cfc65191cda5884b9c3d9693ec7400578a4f161ba0"}