{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KAU2W3J73P7AWKRFSTATYH4NYA","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":"bd2e18041bb983ff408eed79379cc7283ec7fa0575c98e711418af66af0e850b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.HO","submitted_at":"2015-05-18T16:42:57Z","title_canon_sha256":"2c7b0b0db6187fb477514768e78b0ba4a2ba61e436619922903495bab6224d94"},"schema_version":"1.0","source":{"id":"1505.04715","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04715","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04715v2","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04715","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"KAU2W3J73P7A","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"KAU2W3J73P7AWKRF","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"KAU2W3J7","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:080ee98cd046ede15fe28b4107202fd576dfcda0015cab0d97a5a6c678987035","target":"graph","created_at":"2026-05-18T02:03:32Z","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 is a typeset version of Alan Turing's declassified Second World War paper \\textit{Paper on Statistics of Repetitions}. See the companion paper, \\textit{The Applications of Probability to Cryptography}, also available from arXiv at arXiv:1505.04714, for Editor's Notes.","authors_text":"Ian Taylor","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.HO","submitted_at":"2015-05-18T16:42:57Z","title":"Alan M. Turing: Paper on Statistics of Repetitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04715","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":"sha256:377ba579e1a72220a58226830833897877abeb4d0c03279e75d9997d9f0ddbe3","target":"record","created_at":"2026-05-18T02:03:32Z","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":"bd2e18041bb983ff408eed79379cc7283ec7fa0575c98e711418af66af0e850b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"math.HO","submitted_at":"2015-05-18T16:42:57Z","title_canon_sha256":"2c7b0b0db6187fb477514768e78b0ba4a2ba61e436619922903495bab6224d94"},"schema_version":"1.0","source":{"id":"1505.04715","kind":"arxiv","version":2}},"canonical_sha256":"5029ab6d3fdbfe0b2a2594c13c1f8dc0024857261ad0f34344d56f49c9bc3d54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5029ab6d3fdbfe0b2a2594c13c1f8dc0024857261ad0f34344d56f49c9bc3d54","first_computed_at":"2026-05-18T02:03:32.222566Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:32.222566Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ubDCoC7LGR9RSD8c6EXYVfizcZ4dW3SlQwb0i2WfBJ+iCa1EElMd/xBQAhwsGtTI6T1Umoh++MMcj2eLaU+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:32.223256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04715","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:377ba579e1a72220a58226830833897877abeb4d0c03279e75d9997d9f0ddbe3","sha256:080ee98cd046ede15fe28b4107202fd576dfcda0015cab0d97a5a6c678987035"],"state_sha256":"e33f1a575c76dbe1f3f7440867bd3ade3f5e0ffe9dbd8bc74365b43ca6f03176"}