{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:XUXKYNSKHMSS77R3CDY3KDNL5H","short_pith_number":"pith:XUXKYNSK","canonical_record":{"source":{"id":"1801.04103","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-01-12T09:37:22Z","cross_cats_sorted":["cs.IT","math.CO","math.IT","math.PR"],"title_canon_sha256":"644acc4e938bebd2cfd1998e92f1448a4afdfd5d2af6ecdc2372209be8b745b3","abstract_canon_sha256":"3f393ffec972721014835f7b60a855f6b0499c5ddd1673f5054c4a433d057daa"},"schema_version":"1.0"},"canonical_sha256":"bd2eac364a3b252ffe3b10f1b50dabe9ed5b1bd30e7c35e45427ecfd64335009","source":{"kind":"arxiv","id":"1801.04103","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04103","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04103v3","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04103","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"pith_short_12","alias_value":"XUXKYNSKHMSS","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XUXKYNSKHMSS77R3","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XUXKYNSK","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:XUXKYNSKHMSS77R3CDY3KDNL5H","target":"record","payload":{"canonical_record":{"source":{"id":"1801.04103","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-01-12T09:37:22Z","cross_cats_sorted":["cs.IT","math.CO","math.IT","math.PR"],"title_canon_sha256":"644acc4e938bebd2cfd1998e92f1448a4afdfd5d2af6ecdc2372209be8b745b3","abstract_canon_sha256":"3f393ffec972721014835f7b60a855f6b0499c5ddd1673f5054c4a433d057daa"},"schema_version":"1.0"},"canonical_sha256":"bd2eac364a3b252ffe3b10f1b50dabe9ed5b1bd30e7c35e45427ecfd64335009","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:28.619363Z","signature_b64":"NQ0wmy9R5jdMzwDdw+vUIpqlUyJ/kMvqeuzjWzcoLhru9jV03VWSOFwPUN6LkU16IjL0CBUSlR/1qUAbT2srBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd2eac364a3b252ffe3b10f1b50dabe9ed5b1bd30e7c35e45427ecfd64335009","last_reissued_at":"2026-05-17T23:50:28.618749Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:28.618749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.04103","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o/Di5vdN6dhywjMvQh1y9NKAfMcHRG3/9Za90gnO7A4bspE/5oGqka4qF2P+BqCJsAG2PfNTppCuJ7qGf7VaDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:40:02.912439Z"},"content_sha256":"04b41b1f78b00ae30c6ecd0bd2ae5b6ff523a9561fb485b15232de34c8f906bd","schema_version":"1.0","event_id":"sha256:04b41b1f78b00ae30c6ecd0bd2ae5b6ff523a9561fb485b15232de34c8f906bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:XUXKYNSKHMSS77R3CDY3KDNL5H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-Predicting Boolean Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","math.CO","math.IT","math.PR"],"primary_cat":"cs.DM","authors_text":"Nir Weinberger, Ofer Shayevitz","submitted_at":"2018-01-12T09:37:22Z","abstract_excerpt":"A Boolean function $g$ is said to be an optimal predictor for another Boolean function $f$, if it minimizes the probability that $f(X^{n})\\neq g(Y^{n})$ among all functions, where $X^{n}$ is uniform over the Hamming cube and $Y^{n}$ is obtained from $X^{n}$ by independently flipping each coordinate with probability $\\delta$. This paper is about self-predicting functions, which are those that coincide with their optimal predictor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04103","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6r0aVnUlWo88bpPP7GyZ2o3IDAFMyhrLmJ50WhSEEzXM4Unsov1QhJpmJZhRaNGUXXuE/NfQ8Otu+NLNv/OxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:40:02.912780Z"},"content_sha256":"0bb0e67261c1a49d0c3a2e8682611466ba029a511b5110657b5ecfaf13a6ac14","schema_version":"1.0","event_id":"sha256:0bb0e67261c1a49d0c3a2e8682611466ba029a511b5110657b5ecfaf13a6ac14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUXKYNSKHMSS77R3CDY3KDNL5H/bundle.json","state_url":"https://pith.science/pith/XUXKYNSKHMSS77R3CDY3KDNL5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUXKYNSKHMSS77R3CDY3KDNL5H/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T10:40:02Z","links":{"resolver":"https://pith.science/pith/XUXKYNSKHMSS77R3CDY3KDNL5H","bundle":"https://pith.science/pith/XUXKYNSKHMSS77R3CDY3KDNL5H/bundle.json","state":"https://pith.science/pith/XUXKYNSKHMSS77R3CDY3KDNL5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUXKYNSKHMSS77R3CDY3KDNL5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XUXKYNSKHMSS77R3CDY3KDNL5H","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":"3f393ffec972721014835f7b60a855f6b0499c5ddd1673f5054c4a433d057daa","cross_cats_sorted":["cs.IT","math.CO","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-01-12T09:37:22Z","title_canon_sha256":"644acc4e938bebd2cfd1998e92f1448a4afdfd5d2af6ecdc2372209be8b745b3"},"schema_version":"1.0","source":{"id":"1801.04103","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04103","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04103v3","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04103","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"pith_short_12","alias_value":"XUXKYNSKHMSS","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XUXKYNSKHMSS77R3","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XUXKYNSK","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:0bb0e67261c1a49d0c3a2e8682611466ba029a511b5110657b5ecfaf13a6ac14","target":"graph","created_at":"2026-05-17T23:50:28Z","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":"A Boolean function $g$ is said to be an optimal predictor for another Boolean function $f$, if it minimizes the probability that $f(X^{n})\\neq g(Y^{n})$ among all functions, where $X^{n}$ is uniform over the Hamming cube and $Y^{n}$ is obtained from $X^{n}$ by independently flipping each coordinate with probability $\\delta$. This paper is about self-predicting functions, which are those that coincide with their optimal predictor.","authors_text":"Nir Weinberger, Ofer Shayevitz","cross_cats":["cs.IT","math.CO","math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-01-12T09:37:22Z","title":"Self-Predicting Boolean Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04103","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":"sha256:04b41b1f78b00ae30c6ecd0bd2ae5b6ff523a9561fb485b15232de34c8f906bd","target":"record","created_at":"2026-05-17T23:50:28Z","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":"3f393ffec972721014835f7b60a855f6b0499c5ddd1673f5054c4a433d057daa","cross_cats_sorted":["cs.IT","math.CO","math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2018-01-12T09:37:22Z","title_canon_sha256":"644acc4e938bebd2cfd1998e92f1448a4afdfd5d2af6ecdc2372209be8b745b3"},"schema_version":"1.0","source":{"id":"1801.04103","kind":"arxiv","version":3}},"canonical_sha256":"bd2eac364a3b252ffe3b10f1b50dabe9ed5b1bd30e7c35e45427ecfd64335009","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd2eac364a3b252ffe3b10f1b50dabe9ed5b1bd30e7c35e45427ecfd64335009","first_computed_at":"2026-05-17T23:50:28.618749Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:28.618749Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NQ0wmy9R5jdMzwDdw+vUIpqlUyJ/kMvqeuzjWzcoLhru9jV03VWSOFwPUN6LkU16IjL0CBUSlR/1qUAbT2srBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:28.619363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.04103","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04b41b1f78b00ae30c6ecd0bd2ae5b6ff523a9561fb485b15232de34c8f906bd","sha256:0bb0e67261c1a49d0c3a2e8682611466ba029a511b5110657b5ecfaf13a6ac14"],"state_sha256":"7bd4ea31705da34f04a596afe48eb829c7f33895001d836ebce74b97b3bfcc9b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o8eK6X8VouNHH5izO31pd1EuiSI/+6XMyIiHLQhdrfoe9PqOkyruJWmkdY5GoLQqU1Hr8dNf7TdXbGNAtZRfAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T10:40:02.914746Z","bundle_sha256":"c65d1a4831a8264521b1c22348e2f892939e00572065cd5e88d1911b12c23677"}}