{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4XTJ4A4C5BAK3HUMZ442MLXBRY","short_pith_number":"pith:4XTJ4A4C","canonical_record":{"source":{"id":"1006.3680","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-18T12:39:21Z","cross_cats_sorted":[],"title_canon_sha256":"019ab27ce41a30fbab68f9090137262737228b75c294798228ddeac7f93c3fde","abstract_canon_sha256":"96f7c5439aeb6452a468f6af242658feb0a8220508d880856730bcdc2f110268"},"schema_version":"1.0"},"canonical_sha256":"e5e69e0382e840ad9e8ccf39a62ee18e0b7e71d7c1b580bc4f383bebfc94407c","source":{"kind":"arxiv","id":"1006.3680","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3680","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3680v4","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3680","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"pith_short_12","alias_value":"4XTJ4A4C5BAK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4XTJ4A4C5BAK3HUM","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4XTJ4A4C","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4XTJ4A4C5BAK3HUMZ442MLXBRY","target":"record","payload":{"canonical_record":{"source":{"id":"1006.3680","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-18T12:39:21Z","cross_cats_sorted":[],"title_canon_sha256":"019ab27ce41a30fbab68f9090137262737228b75c294798228ddeac7f93c3fde","abstract_canon_sha256":"96f7c5439aeb6452a468f6af242658feb0a8220508d880856730bcdc2f110268"},"schema_version":"1.0"},"canonical_sha256":"e5e69e0382e840ad9e8ccf39a62ee18e0b7e71d7c1b580bc4f383bebfc94407c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:21.952940Z","signature_b64":"/lCcwYmYfPvtoTToOCVQz7EkkC1AsQ1Zs7DIL3qV/SbFZ2py0XNSuf2foqQaXvxo5mS9q3La0R6bn2XjM97KAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5e69e0382e840ad9e8ccf39a62ee18e0b7e71d7c1b580bc4f383bebfc94407c","last_reissued_at":"2026-05-18T04:32:21.952214Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:21.952214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.3680","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6uYfhEEXhnk3+UtKJIzmOGsZwmvqB6/kVlJ/60a8LMbBRIrzfL0+4suGcYioAxG0Bm8u86F2U9tzH8X6s18NDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:26:06.794064Z"},"content_sha256":"729c4826d96387321e0bd4010256babcb98f0145c73db01a57fc0cb5e8e325d1","schema_version":"1.0","event_id":"sha256:729c4826d96387321e0bd4010256babcb98f0145c73db01a57fc0cb5e8e325d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4XTJ4A4C5BAK3HUMZ442MLXBRY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complementary contributions of indeterminism and signalling to quantum correlations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Michael J.W. Hall","submitted_at":"2010-06-18T12:39:21Z","abstract_excerpt":"Simple quantitative measures of indeterminism and signalling, $I$ and $S$, are defined for models of statistical correlations. It is shown that any such model satisfies a generalised Bell-type inequality, with tight upper bound B(I,S). This upper bound explicitly quantifies the complementary contributions required from indeterminism and signalling, for modelling any given violation of the standard Bell-CHSH inequality. For example, all models of the maximum quantum violation must either assign no more than 80% probability of occurrence to some underlying event, and/or allow a nonlocal change o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3680","kind":"arxiv","version":4},"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":"2026-05-18T04:32:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"97GX7MQhyrhXflywhXrkEQMollk2WO4xNfLYOajS2okKDc8TtgcDm+9QbG++5F0Kp1lxfHkHfLkKtlzZmSSlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:26:06.794724Z"},"content_sha256":"69a357fc334c170645cbda81e651a59201e6b16ae84b6e7d133198b23f60c2d7","schema_version":"1.0","event_id":"sha256:69a357fc334c170645cbda81e651a59201e6b16ae84b6e7d133198b23f60c2d7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY/bundle.json","state_url":"https://pith.science/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY/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":"2026-05-29T18:26:06Z","links":{"resolver":"https://pith.science/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY","bundle":"https://pith.science/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY/bundle.json","state":"https://pith.science/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XTJ4A4C5BAK3HUMZ442MLXBRY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4XTJ4A4C5BAK3HUMZ442MLXBRY","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":"96f7c5439aeb6452a468f6af242658feb0a8220508d880856730bcdc2f110268","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-18T12:39:21Z","title_canon_sha256":"019ab27ce41a30fbab68f9090137262737228b75c294798228ddeac7f93c3fde"},"schema_version":"1.0","source":{"id":"1006.3680","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3680","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3680v4","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3680","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"pith_short_12","alias_value":"4XTJ4A4C5BAK","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"4XTJ4A4C5BAK3HUM","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"4XTJ4A4C","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:69a357fc334c170645cbda81e651a59201e6b16ae84b6e7d133198b23f60c2d7","target":"graph","created_at":"2026-05-18T04:32:21Z","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":"Simple quantitative measures of indeterminism and signalling, $I$ and $S$, are defined for models of statistical correlations. It is shown that any such model satisfies a generalised Bell-type inequality, with tight upper bound B(I,S). This upper bound explicitly quantifies the complementary contributions required from indeterminism and signalling, for modelling any given violation of the standard Bell-CHSH inequality. For example, all models of the maximum quantum violation must either assign no more than 80% probability of occurrence to some underlying event, and/or allow a nonlocal change o","authors_text":"Michael J.W. Hall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-18T12:39:21Z","title":"Complementary contributions of indeterminism and signalling to quantum correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3680","kind":"arxiv","version":4},"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":"sha256:729c4826d96387321e0bd4010256babcb98f0145c73db01a57fc0cb5e8e325d1","target":"record","created_at":"2026-05-18T04:32:21Z","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":"96f7c5439aeb6452a468f6af242658feb0a8220508d880856730bcdc2f110268","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-06-18T12:39:21Z","title_canon_sha256":"019ab27ce41a30fbab68f9090137262737228b75c294798228ddeac7f93c3fde"},"schema_version":"1.0","source":{"id":"1006.3680","kind":"arxiv","version":4}},"canonical_sha256":"e5e69e0382e840ad9e8ccf39a62ee18e0b7e71d7c1b580bc4f383bebfc94407c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5e69e0382e840ad9e8ccf39a62ee18e0b7e71d7c1b580bc4f383bebfc94407c","first_computed_at":"2026-05-18T04:32:21.952214Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:21.952214Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/lCcwYmYfPvtoTToOCVQz7EkkC1AsQ1Zs7DIL3qV/SbFZ2py0XNSuf2foqQaXvxo5mS9q3La0R6bn2XjM97KAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:21.952940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3680","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:729c4826d96387321e0bd4010256babcb98f0145c73db01a57fc0cb5e8e325d1","sha256:69a357fc334c170645cbda81e651a59201e6b16ae84b6e7d133198b23f60c2d7"],"state_sha256":"76ff2b916a3fe77ee8fd160929cb2d002c512b16e0ac526137bbe8b5d8f6bb8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vRhvQMNt9lOPnPoWEjO8kI1xf2zsYpnCoPxBDiQRkc6F9DDsRzrcx1uP1zS5DkgYLLP11+YZSOMzf0iLAyURCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T18:26:06.798278Z","bundle_sha256":"62a3dc270de695060abcf3fc38aaa5b76b89d3c07896ebf2b7c0933f7d3858e0"}}