{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AJI23EH72YP53KRN4VBOCU6MPS","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":"0a149a9e73c5e31afe0235dc990358ffcb8ca9d67b97a37d0b42cc9b32df98f1","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-10-18T20:42:33Z","title_canon_sha256":"d8e2324c478cf67e8e7aeaad170d5f19dde1ad94565e2d895a83104f7b76e424"},"schema_version":"1.0","source":{"id":"1410.5002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.5002","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1410.5002v1","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.5002","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"AJI23EH72YP5","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AJI23EH72YP53KRN","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AJI23EH7","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:b44ea627aae0c8cd95c619b547762fa8ca420caf5bf0a5ef141265931af030cb","target":"graph","created_at":"2026-05-18T02:39:47Z","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 introduce unbiased estimators for the Shannon entropy and the class number, in the situation that we are able to take sequences of independent samples of arbitrary length.","authors_text":"Stephen Montgomery-Smith, T. Sch\\\"urmann","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-10-18T20:42:33Z","title":"Unbiased Estimators for Entropy and Class Number"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5002","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":"sha256:97ee2b99bf0f5b71211ad0debeed9151239e71e3abec57c9d3488ca6f49ad11f","target":"record","created_at":"2026-05-18T02:39:47Z","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":"0a149a9e73c5e31afe0235dc990358ffcb8ca9d67b97a37d0b42cc9b32df98f1","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2014-10-18T20:42:33Z","title_canon_sha256":"d8e2324c478cf67e8e7aeaad170d5f19dde1ad94565e2d895a83104f7b76e424"},"schema_version":"1.0","source":{"id":"1410.5002","kind":"arxiv","version":1}},"canonical_sha256":"0251ad90ffd61fddaa2de542e153cc7c86453d226d0e77b0c3406fbdbc8ff2b3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0251ad90ffd61fddaa2de542e153cc7c86453d226d0e77b0c3406fbdbc8ff2b3","first_computed_at":"2026-05-18T02:39:47.241978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:47.241978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lmREUEtnTa384h6XcAksDMe4WAqmengTfJfMFTJ31o1yg8GVoydF2usPkXjvb2LFXRHJARUXuGhnHRcriWZUBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:47.242409Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.5002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97ee2b99bf0f5b71211ad0debeed9151239e71e3abec57c9d3488ca6f49ad11f","sha256:b44ea627aae0c8cd95c619b547762fa8ca420caf5bf0a5ef141265931af030cb"],"state_sha256":"2064eef2c22d53ff2deb0b9afb368a23abfb1cf6adb230887b4d1ddd69403dfd"}