{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4BG4QBVJMEE3FEOMQJJA5C7CKL","short_pith_number":"pith:4BG4QBVJ","canonical_record":{"source":{"id":"1410.2044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-08T09:56:26Z","cross_cats_sorted":[],"title_canon_sha256":"5c34bdc040a79992dfc6dcdd09dea1ed56b72ffe6a9892df20cd666efc4cb8cb","abstract_canon_sha256":"bd525e59737e3864e9ac78a6d1698e16e98a4a7cdc31cd0bfd833a5d04a12b14"},"schema_version":"1.0"},"canonical_sha256":"e04dc806a96109b291cc82520e8be252ca91ac183f73e161425dbe2a38b2d463","source":{"kind":"arxiv","id":"1410.2044","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2044","created_at":"2026-05-18T01:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2044v1","created_at":"2026-05-18T01:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2044","created_at":"2026-05-18T01:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"4BG4QBVJMEE3","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4BG4QBVJMEE3FEOM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4BG4QBVJ","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4BG4QBVJMEE3FEOMQJJA5C7CKL","target":"record","payload":{"canonical_record":{"source":{"id":"1410.2044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-08T09:56:26Z","cross_cats_sorted":[],"title_canon_sha256":"5c34bdc040a79992dfc6dcdd09dea1ed56b72ffe6a9892df20cd666efc4cb8cb","abstract_canon_sha256":"bd525e59737e3864e9ac78a6d1698e16e98a4a7cdc31cd0bfd833a5d04a12b14"},"schema_version":"1.0"},"canonical_sha256":"e04dc806a96109b291cc82520e8be252ca91ac183f73e161425dbe2a38b2d463","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:50.045137Z","signature_b64":"Euhb0XWmSpBXnKVCjIFI1EDn/3WX3Mr5Nxi19UOgvJgN2lbqGj9/WyF0ja2OVo0/VoDrVhSPOZpvloUqgdqqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e04dc806a96109b291cc82520e8be252ca91ac183f73e161425dbe2a38b2d463","last_reissued_at":"2026-05-18T01:41:50.044724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:50.044724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.2044","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:41:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YM3mz0GuDpTl16haWFMnjC1BXBU7WLVdeZvRZdLQwSAi/u77ZNee/825nx18wqAErAy39at9yopLE92UbMrUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:42:12.795875Z"},"content_sha256":"90e0d15772aaea899a8776052f4f13bf2834298f9ac00e238952d1d60ee986f9","schema_version":"1.0","event_id":"sha256:90e0d15772aaea899a8776052f4f13bf2834298f9ac00e238952d1d60ee986f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4BG4QBVJMEE3FEOMQJJA5C7CKL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"A. Vourdas","submitted_at":"2014-10-08T09:56:26Z","abstract_excerpt":"The orthocomplemented modular lattice of subspaces L[H(d)], of a quantum system with d- dimensional Hilbert space H(d), is considered. A generalized additivity relation which holds for Kolmogorov probabilities, is violated by quantum probabilities in the full lattice L[H(d)] (it is only valid within the Boolean subalgebras of L[H(d)]). This suggests the use of more general (than Kolmogorov) probability theories, and here the Dempster-Shafer probability theory is adopted. An operator D(H1,H2), which quantifies deviations from Kolmogorov probability theory is introduced, and it is shown to be in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2044","kind":"arxiv","version":1},"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":"2026-05-18T01:41:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mkh976+Wi4TUpi037qBR54752qLt42ByACPMOD0cqyomubDuXq9XYBBNk5xplXlF6vq9hO3djualNYb6BRuUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:42:12.796210Z"},"content_sha256":"21f79f4213474ae957e91fb4a6d073a8b624b9b98dce2420ecc9250344e46b01","schema_version":"1.0","event_id":"sha256:21f79f4213474ae957e91fb4a6d073a8b624b9b98dce2420ecc9250344e46b01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL/bundle.json","state_url":"https://pith.science/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL/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":"2026-05-28T02:42:12Z","links":{"resolver":"https://pith.science/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL","bundle":"https://pith.science/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL/bundle.json","state":"https://pith.science/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4BG4QBVJMEE3FEOMQJJA5C7CKL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4BG4QBVJMEE3FEOMQJJA5C7CKL","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":"bd525e59737e3864e9ac78a6d1698e16e98a4a7cdc31cd0bfd833a5d04a12b14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-08T09:56:26Z","title_canon_sha256":"5c34bdc040a79992dfc6dcdd09dea1ed56b72ffe6a9892df20cd666efc4cb8cb"},"schema_version":"1.0","source":{"id":"1410.2044","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2044","created_at":"2026-05-18T01:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2044v1","created_at":"2026-05-18T01:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2044","created_at":"2026-05-18T01:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"4BG4QBVJMEE3","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4BG4QBVJMEE3FEOM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4BG4QBVJ","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:21f79f4213474ae957e91fb4a6d073a8b624b9b98dce2420ecc9250344e46b01","target":"graph","created_at":"2026-05-18T01:41:50Z","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":"The orthocomplemented modular lattice of subspaces L[H(d)], of a quantum system with d- dimensional Hilbert space H(d), is considered. A generalized additivity relation which holds for Kolmogorov probabilities, is violated by quantum probabilities in the full lattice L[H(d)] (it is only valid within the Boolean subalgebras of L[H(d)]). This suggests the use of more general (than Kolmogorov) probability theories, and here the Dempster-Shafer probability theory is adopted. An operator D(H1,H2), which quantifies deviations from Kolmogorov probability theory is introduced, and it is shown to be in","authors_text":"A. Vourdas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-08T09:56:26Z","title":"Quantum probabilities as Dempster-Shafer probabilities in the lattice of subspaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2044","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":"sha256:90e0d15772aaea899a8776052f4f13bf2834298f9ac00e238952d1d60ee986f9","target":"record","created_at":"2026-05-18T01:41:50Z","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":"bd525e59737e3864e9ac78a6d1698e16e98a4a7cdc31cd0bfd833a5d04a12b14","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-10-08T09:56:26Z","title_canon_sha256":"5c34bdc040a79992dfc6dcdd09dea1ed56b72ffe6a9892df20cd666efc4cb8cb"},"schema_version":"1.0","source":{"id":"1410.2044","kind":"arxiv","version":1}},"canonical_sha256":"e04dc806a96109b291cc82520e8be252ca91ac183f73e161425dbe2a38b2d463","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e04dc806a96109b291cc82520e8be252ca91ac183f73e161425dbe2a38b2d463","first_computed_at":"2026-05-18T01:41:50.044724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:50.044724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Euhb0XWmSpBXnKVCjIFI1EDn/3WX3Mr5Nxi19UOgvJgN2lbqGj9/WyF0ja2OVo0/VoDrVhSPOZpvloUqgdqqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:50.045137Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2044","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90e0d15772aaea899a8776052f4f13bf2834298f9ac00e238952d1d60ee986f9","sha256:21f79f4213474ae957e91fb4a6d073a8b624b9b98dce2420ecc9250344e46b01"],"state_sha256":"af56d3ca3f89b78ea52a378f0dbf45c03786f4fa60013fd782854d7312528b29"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JhJsXZhhYggkFJhdivxuXpCjS0jWaFUR5/ofATZZkKg+VQcsnz3d43Yc2AkKfAhMpBSM01U0iY2Awb4NfdYKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:42:12.798126Z","bundle_sha256":"1d6eb8970d5969f3d757ff5d57ec836c995773dceb0f6cd50a7b2a56ad2f33b1"}}