{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HORANKJ6FLS3SM6ISKPCGVHSR5","short_pith_number":"pith:HORANKJ6","canonical_record":{"source":{"id":"2412.17857","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2024-12-20T06:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"45ef08c164ef48feee91c34c510b74b2ec482d46ee067cf15cb782c8986260d1","abstract_canon_sha256":"4dee6b2b0d36f3a21b4e0b41e5b5521c934d56543e72241614a1c1a4ae6a4e96"},"schema_version":"1.0"},"canonical_sha256":"3ba206a93e2ae5b933c8929e2354f28f5c15595430b9c48e51500d176704b75b","source":{"kind":"arxiv","id":"2412.17857","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17857","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17857v3","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17857","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"HORANKJ6FLS3","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"pith_short_16","alias_value":"HORANKJ6FLS3SM6I","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"pith_short_8","alias_value":"HORANKJ6","created_at":"2026-07-05T10:00:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HORANKJ6FLS3SM6ISKPCGVHSR5","target":"record","payload":{"canonical_record":{"source":{"id":"2412.17857","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2024-12-20T06:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"45ef08c164ef48feee91c34c510b74b2ec482d46ee067cf15cb782c8986260d1","abstract_canon_sha256":"4dee6b2b0d36f3a21b4e0b41e5b5521c934d56543e72241614a1c1a4ae6a4e96"},"schema_version":"1.0"},"canonical_sha256":"3ba206a93e2ae5b933c8929e2354f28f5c15595430b9c48e51500d176704b75b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:00:45.276295Z","signature_b64":"8POGqs4woBCVzWkxGytjCXIxSNM47oq5oMOLCAVU3c9qsxDOwQ2UD3tya2QBCW2mvmUwSWceWakhupCl6npdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ba206a93e2ae5b933c8929e2354f28f5c15595430b9c48e51500d176704b75b","last_reissued_at":"2026-07-05T10:00:45.275723Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:00:45.275723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.17857","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":"2026-07-05T10:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lyE3RisZ0kcCDyzgAFHtXXYrPcLzV1x8tB4bU+z3GLmLSN/eOH4lE+yVIsqt/oYQ3kIkTS6/YY7HY3veD+iWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:53:50.983346Z"},"content_sha256":"65299ce18987ab2597d7e64a30f8217115d984b7addff5ace1810846169ded24","schema_version":"1.0","event_id":"sha256:65299ce18987ab2597d7e64a30f8217115d984b7addff5ace1810846169ded24"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HORANKJ6FLS3SM6ISKPCGVHSR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A possible statistics loophole in Bell's theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Andrea Aiello","submitted_at":"2024-12-20T06:33:40Z","abstract_excerpt":"Bell's theorem proves the incompatibility between quantum mechanics and local realistic hidden-variable theories. In this paper we show that, contrary to a common belief, the theoretical proof of Bell's theorem is not affected by counterfactual reasoning. Then, we demonstrate that the experimental verification of this theorem may be affected in an unknowable way by our ignorance about the probability distribution of the hidden variables. Our study is based on the standard theory of random variables, and lays the groundwork for a critical rethinking of Bell's theorem and its consequences."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17857","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.17857/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T10:00:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IptDpyR55syxjN4+KXkqmxfB868Kaey2PM6MWFoIUUCvJoRFe964yRsqv5Cnsj+Bf4Gruaj5tdndkxFKdbC8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T05:53:50.984233Z"},"content_sha256":"f76b35a05f78afc3112e56d8489c89de372563d94a063a40def6ec5acbbccefc","schema_version":"1.0","event_id":"sha256:f76b35a05f78afc3112e56d8489c89de372563d94a063a40def6ec5acbbccefc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HORANKJ6FLS3SM6ISKPCGVHSR5/bundle.json","state_url":"https://pith.science/pith/HORANKJ6FLS3SM6ISKPCGVHSR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HORANKJ6FLS3SM6ISKPCGVHSR5/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":"2026-08-08T05:53:50Z","links":{"resolver":"https://pith.science/pith/HORANKJ6FLS3SM6ISKPCGVHSR5","bundle":"https://pith.science/pith/HORANKJ6FLS3SM6ISKPCGVHSR5/bundle.json","state":"https://pith.science/pith/HORANKJ6FLS3SM6ISKPCGVHSR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HORANKJ6FLS3SM6ISKPCGVHSR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HORANKJ6FLS3SM6ISKPCGVHSR5","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":"4dee6b2b0d36f3a21b4e0b41e5b5521c934d56543e72241614a1c1a4ae6a4e96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2024-12-20T06:33:40Z","title_canon_sha256":"45ef08c164ef48feee91c34c510b74b2ec482d46ee067cf15cb782c8986260d1"},"schema_version":"1.0","source":{"id":"2412.17857","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.17857","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"arxiv_version","alias_value":"2412.17857v3","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.17857","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"pith_short_12","alias_value":"HORANKJ6FLS3","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"pith_short_16","alias_value":"HORANKJ6FLS3SM6I","created_at":"2026-07-05T10:00:45Z"},{"alias_kind":"pith_short_8","alias_value":"HORANKJ6","created_at":"2026-07-05T10:00:45Z"}],"graph_snapshots":[{"event_id":"sha256:f76b35a05f78afc3112e56d8489c89de372563d94a063a40def6ec5acbbccefc","target":"graph","created_at":"2026-07-05T10:00:45Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2412.17857/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bell's theorem proves the incompatibility between quantum mechanics and local realistic hidden-variable theories. In this paper we show that, contrary to a common belief, the theoretical proof of Bell's theorem is not affected by counterfactual reasoning. Then, we demonstrate that the experimental verification of this theorem may be affected in an unknowable way by our ignorance about the probability distribution of the hidden variables. Our study is based on the standard theory of random variables, and lays the groundwork for a critical rethinking of Bell's theorem and its consequences.","authors_text":"Andrea Aiello","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2024-12-20T06:33:40Z","title":"A possible statistics loophole in Bell's theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.17857","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":"sha256:65299ce18987ab2597d7e64a30f8217115d984b7addff5ace1810846169ded24","target":"record","created_at":"2026-07-05T10:00:45Z","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":"4dee6b2b0d36f3a21b4e0b41e5b5521c934d56543e72241614a1c1a4ae6a4e96","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2024-12-20T06:33:40Z","title_canon_sha256":"45ef08c164ef48feee91c34c510b74b2ec482d46ee067cf15cb782c8986260d1"},"schema_version":"1.0","source":{"id":"2412.17857","kind":"arxiv","version":3}},"canonical_sha256":"3ba206a93e2ae5b933c8929e2354f28f5c15595430b9c48e51500d176704b75b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ba206a93e2ae5b933c8929e2354f28f5c15595430b9c48e51500d176704b75b","first_computed_at":"2026-07-05T10:00:45.275723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:00:45.275723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8POGqs4woBCVzWkxGytjCXIxSNM47oq5oMOLCAVU3c9qsxDOwQ2UD3tya2QBCW2mvmUwSWceWakhupCl6npdAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:00:45.276295Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.17857","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65299ce18987ab2597d7e64a30f8217115d984b7addff5ace1810846169ded24","sha256:f76b35a05f78afc3112e56d8489c89de372563d94a063a40def6ec5acbbccefc"],"state_sha256":"2f70a6296e6f3bb2c9590ead46b3808f6cb40aa33d811cffc1475edc7a121dbb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+otJEGDuB1sQX1lpwudLQTPg5R3NCny2aZAD6eHcFCRTrt6ROKQP9IxBIteeHNXcuXLhs+mzJU5Cp3BLBHQKDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T05:53:50.989568Z","bundle_sha256":"bb0710d8e1c487a0c512fcbe91668205276cba5e31a1e0392e5193dbef71fa60"}}