{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:FMX4HHMQTYXTBUHUUOHWIG767M","short_pith_number":"pith:FMX4HHMQ","canonical_record":{"source":{"id":"1010.1155","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-06T13:57:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"74aaaa33d5833c769e1b9aa0b1844bbd1231155d82e0fdb1215fe9f451f86c20","abstract_canon_sha256":"b49d5121cfa060345adad7037026f5fabeae022716683981e5f5a811fc0f4b9a"},"schema_version":"1.0"},"canonical_sha256":"2b2fc39d909e2f30d0f4a38f641bfefb3fc235ef4666a1e09104f93f26c4922f","source":{"kind":"arxiv","id":"1010.1155","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1155","created_at":"2026-05-18T02:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1155v3","created_at":"2026-05-18T02:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1155","created_at":"2026-05-18T02:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"FMX4HHMQTYXT","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FMX4HHMQTYXTBUHU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FMX4HHMQ","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:FMX4HHMQTYXTBUHUUOHWIG767M","target":"record","payload":{"canonical_record":{"source":{"id":"1010.1155","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-06T13:57:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"74aaaa33d5833c769e1b9aa0b1844bbd1231155d82e0fdb1215fe9f451f86c20","abstract_canon_sha256":"b49d5121cfa060345adad7037026f5fabeae022716683981e5f5a811fc0f4b9a"},"schema_version":"1.0"},"canonical_sha256":"2b2fc39d909e2f30d0f4a38f641bfefb3fc235ef4666a1e09104f93f26c4922f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:46.445177Z","signature_b64":"CQ1+KmcWqwc4rarAnUBsdF/dDh2g3LiK8pFhwz1iXCNTL7Y7hBp5JYAKaGPgGGSPwyBXKt1dqWG1M1MePjmtBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b2fc39d909e2f30d0f4a38f641bfefb3fc235ef4666a1e09104f93f26c4922f","last_reissued_at":"2026-05-18T02:23:46.444557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:46.444557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.1155","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":"2026-05-18T02:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KoFBhRswEN0g2RB5feyM2CSYGMzdt9H6JUeqAXuvdRiF72EQ2JIUtITZFnvBnJzexis1WLq8MSED9OWAyMBeAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:54:03.564054Z"},"content_sha256":"7ad908977c043a628391590f799f2223ac1a5d1579c442a31f8b85120d494d9f","schema_version":"1.0","event_id":"sha256:7ad908977c043a628391590f799f2223ac1a5d1579c442a31f8b85120d494d9f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:FMX4HHMQTYXTBUHUUOHWIG767M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weak Measurements Beyond the Aharonov-Albert-Vaidman Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Shengjun Wu, Yang Li","submitted_at":"2010-10-06T13:57:33Z","abstract_excerpt":"We extend the idea of weak measurements to the general case, provide a complete treatment and obtain results for both the regime when the pre-selected and post-selected states (PPS) are almost orthogonal and the regime when they are exactly orthogonal. We surprisingly find that for a fixed interaction strength, there may exist a maximum signal amplification and a corresponding optimum overlap of PPS to achieve it. For weak measurements in the orthogonal regime, we find interesting quantities that play the same role that weak values play in the non-orthogonal regime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1155","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":"2026-05-18T02:23:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qnlxSEw0asfVoWrpRlfFV+kbRe5xO/o+l3Yz02Eb5KVVY8VFTtIGqcI0asiiRx6trTDHEBylL39iixiboBn/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T16:54:03.564721Z"},"content_sha256":"f1eefcaedb40f2203e09d4c31e07a7d16cde8b2deaf845113aef118575364592","schema_version":"1.0","event_id":"sha256:f1eefcaedb40f2203e09d4c31e07a7d16cde8b2deaf845113aef118575364592"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FMX4HHMQTYXTBUHUUOHWIG767M/bundle.json","state_url":"https://pith.science/pith/FMX4HHMQTYXTBUHUUOHWIG767M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FMX4HHMQTYXTBUHUUOHWIG767M/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":"2026-05-27T16:54:03Z","links":{"resolver":"https://pith.science/pith/FMX4HHMQTYXTBUHUUOHWIG767M","bundle":"https://pith.science/pith/FMX4HHMQTYXTBUHUUOHWIG767M/bundle.json","state":"https://pith.science/pith/FMX4HHMQTYXTBUHUUOHWIG767M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FMX4HHMQTYXTBUHUUOHWIG767M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FMX4HHMQTYXTBUHUUOHWIG767M","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":"b49d5121cfa060345adad7037026f5fabeae022716683981e5f5a811fc0f4b9a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-06T13:57:33Z","title_canon_sha256":"74aaaa33d5833c769e1b9aa0b1844bbd1231155d82e0fdb1215fe9f451f86c20"},"schema_version":"1.0","source":{"id":"1010.1155","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1155","created_at":"2026-05-18T02:23:46Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1155v3","created_at":"2026-05-18T02:23:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1155","created_at":"2026-05-18T02:23:46Z"},{"alias_kind":"pith_short_12","alias_value":"FMX4HHMQTYXT","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"FMX4HHMQTYXTBUHU","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"FMX4HHMQ","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:f1eefcaedb40f2203e09d4c31e07a7d16cde8b2deaf845113aef118575364592","target":"graph","created_at":"2026-05-18T02:23:46Z","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":"We extend the idea of weak measurements to the general case, provide a complete treatment and obtain results for both the regime when the pre-selected and post-selected states (PPS) are almost orthogonal and the regime when they are exactly orthogonal. We surprisingly find that for a fixed interaction strength, there may exist a maximum signal amplification and a corresponding optimum overlap of PPS to achieve it. For weak measurements in the orthogonal regime, we find interesting quantities that play the same role that weak values play in the non-orthogonal regime.","authors_text":"Shengjun Wu, Yang Li","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-06T13:57:33Z","title":"Weak Measurements Beyond the Aharonov-Albert-Vaidman Formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1155","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":"sha256:7ad908977c043a628391590f799f2223ac1a5d1579c442a31f8b85120d494d9f","target":"record","created_at":"2026-05-18T02:23:46Z","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":"b49d5121cfa060345adad7037026f5fabeae022716683981e5f5a811fc0f4b9a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-06T13:57:33Z","title_canon_sha256":"74aaaa33d5833c769e1b9aa0b1844bbd1231155d82e0fdb1215fe9f451f86c20"},"schema_version":"1.0","source":{"id":"1010.1155","kind":"arxiv","version":3}},"canonical_sha256":"2b2fc39d909e2f30d0f4a38f641bfefb3fc235ef4666a1e09104f93f26c4922f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b2fc39d909e2f30d0f4a38f641bfefb3fc235ef4666a1e09104f93f26c4922f","first_computed_at":"2026-05-18T02:23:46.444557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:46.444557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CQ1+KmcWqwc4rarAnUBsdF/dDh2g3LiK8pFhwz1iXCNTL7Y7hBp5JYAKaGPgGGSPwyBXKt1dqWG1M1MePjmtBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:46.445177Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1155","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ad908977c043a628391590f799f2223ac1a5d1579c442a31f8b85120d494d9f","sha256:f1eefcaedb40f2203e09d4c31e07a7d16cde8b2deaf845113aef118575364592"],"state_sha256":"70f7cc4d98f95ba04bae1172efcb19afe84d0cd3253ae8d4837cd0a79ff0a15d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3yct1k26+M1+Xbx888oS9KQRKiWU/lJ7nxE3qgNxQa6dWugmyQRFBliwmK7vrFAimwCL3kWfriYRYg20TstEBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T16:54:03.568639Z","bundle_sha256":"a48276f72facf162c0e791a9b9688f999754b9b0f08d00613811166842583f01"}}