{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GK7OUAPWLGAU3C5U2EZNGLF4T6","short_pith_number":"pith:GK7OUAPW","canonical_record":{"source":{"id":"1109.6315","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-28T19:56:51Z","cross_cats_sorted":[],"title_canon_sha256":"fb12ea925796acfcaa75dfc98f68a1afcd97956694ba0c219a2e5d20ef7517f4","abstract_canon_sha256":"877bcec1a29bb9534e192d1195645bf2f301ce07e5a5647dd9039a219b437cd2"},"schema_version":"1.0"},"canonical_sha256":"32beea01f659814d8bb4d132d32cbc9f8ca64dd89decaa5c57b53112b5f876e4","source":{"kind":"arxiv","id":"1109.6315","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6315","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6315v2","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6315","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"GK7OUAPWLGAU","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GK7OUAPWLGAU3C5U","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GK7OUAPW","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GK7OUAPWLGAU3C5U2EZNGLF4T6","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6315","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-28T19:56:51Z","cross_cats_sorted":[],"title_canon_sha256":"fb12ea925796acfcaa75dfc98f68a1afcd97956694ba0c219a2e5d20ef7517f4","abstract_canon_sha256":"877bcec1a29bb9534e192d1195645bf2f301ce07e5a5647dd9039a219b437cd2"},"schema_version":"1.0"},"canonical_sha256":"32beea01f659814d8bb4d132d32cbc9f8ca64dd89decaa5c57b53112b5f876e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:43:18.636597Z","signature_b64":"NLkWpnQD2gRPEi9c1G71BlcESAQlGNdG0oHbhmrTIc8ey7hkzMo9XLb9fV0Ysl7yuil6wwl+YI5L/aaCf3BcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32beea01f659814d8bb4d132d32cbc9f8ca64dd89decaa5c57b53112b5f876e4","last_reissued_at":"2026-05-18T03:43:18.636127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:43:18.636127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6315","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YJy58K9V6BgO/LsnCTeLPp1KKbfjFgN/NkBMrdEqJvhQyhJKuIX/lK6ekOHnUwRsYzYhUVbuZa+g+Mr5fAiXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:33:15.986665Z"},"content_sha256":"2441d570419cf41bd338a462206f5b4094962a9a7ec19d6c7c66b9c73bb5dedb","schema_version":"1.0","event_id":"sha256:2441d570419cf41bd338a462206f5b4094962a9a7ec19d6c7c66b9c73bb5dedb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GK7OUAPWLGAU3C5U2EZNGLF4T6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonperturbative theory of weak pre- and post-selected measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Abraham G. Kofman, Franco Nori, Sahel Ashhab","submitted_at":"2011-09-28T19:56:51Z","abstract_excerpt":"This paper starts with a brief review of the topic of strong and weak pre- and post-selected (PPS) quantum measurements, as well as weak values, and afterwards presents original work. In particular, we develop a nonperturbative theory of weak PPS measurements of an arbitrary system with an arbitrary meter, for arbitrary initial states. New and simple analytical formulas are obtained for the average and the distribution of the meter pointer variable, which hold to all orders in the weak value. In the case of a mixed preselected state, in addition to the standard weak value, an associated weak v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6315","kind":"arxiv","version":2},"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":"2026-05-18T03:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TxUQINAg3cVf3CjGS7k9ZNPGWbYajYYmSasP3nWEBPkFtS3cj0MhF02u7QPnls7kujpha+UYG0PGDpO8qjddBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T12:33:15.987008Z"},"content_sha256":"923a64fa6693aa9f8e829a51b6be0ceb77ea70a5ff9064f0cf04d33452d78a11","schema_version":"1.0","event_id":"sha256:923a64fa6693aa9f8e829a51b6be0ceb77ea70a5ff9064f0cf04d33452d78a11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6/bundle.json","state_url":"https://pith.science/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6/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":"2026-06-11T12:33:15Z","links":{"resolver":"https://pith.science/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6","bundle":"https://pith.science/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6/bundle.json","state":"https://pith.science/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GK7OUAPWLGAU3C5U2EZNGLF4T6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GK7OUAPWLGAU3C5U2EZNGLF4T6","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":"877bcec1a29bb9534e192d1195645bf2f301ce07e5a5647dd9039a219b437cd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-28T19:56:51Z","title_canon_sha256":"fb12ea925796acfcaa75dfc98f68a1afcd97956694ba0c219a2e5d20ef7517f4"},"schema_version":"1.0","source":{"id":"1109.6315","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6315","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6315v2","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6315","created_at":"2026-05-18T03:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"GK7OUAPWLGAU","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GK7OUAPWLGAU3C5U","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GK7OUAPW","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:923a64fa6693aa9f8e829a51b6be0ceb77ea70a5ff9064f0cf04d33452d78a11","target":"graph","created_at":"2026-05-18T03:43:18Z","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":"This paper starts with a brief review of the topic of strong and weak pre- and post-selected (PPS) quantum measurements, as well as weak values, and afterwards presents original work. In particular, we develop a nonperturbative theory of weak PPS measurements of an arbitrary system with an arbitrary meter, for arbitrary initial states. New and simple analytical formulas are obtained for the average and the distribution of the meter pointer variable, which hold to all orders in the weak value. In the case of a mixed preselected state, in addition to the standard weak value, an associated weak v","authors_text":"Abraham G. Kofman, Franco Nori, Sahel Ashhab","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-28T19:56:51Z","title":"Nonperturbative theory of weak pre- and post-selected measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6315","kind":"arxiv","version":2},"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":"sha256:2441d570419cf41bd338a462206f5b4094962a9a7ec19d6c7c66b9c73bb5dedb","target":"record","created_at":"2026-05-18T03:43:18Z","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":"877bcec1a29bb9534e192d1195645bf2f301ce07e5a5647dd9039a219b437cd2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-09-28T19:56:51Z","title_canon_sha256":"fb12ea925796acfcaa75dfc98f68a1afcd97956694ba0c219a2e5d20ef7517f4"},"schema_version":"1.0","source":{"id":"1109.6315","kind":"arxiv","version":2}},"canonical_sha256":"32beea01f659814d8bb4d132d32cbc9f8ca64dd89decaa5c57b53112b5f876e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32beea01f659814d8bb4d132d32cbc9f8ca64dd89decaa5c57b53112b5f876e4","first_computed_at":"2026-05-18T03:43:18.636127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:18.636127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NLkWpnQD2gRPEi9c1G71BlcESAQlGNdG0oHbhmrTIc8ey7hkzMo9XLb9fV0Ysl7yuil6wwl+YI5L/aaCf3BcDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:18.636597Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6315","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2441d570419cf41bd338a462206f5b4094962a9a7ec19d6c7c66b9c73bb5dedb","sha256:923a64fa6693aa9f8e829a51b6be0ceb77ea70a5ff9064f0cf04d33452d78a11"],"state_sha256":"8bcfdb66267a6e2253e586d1c6e8c1d61ba85e33088035646cc93d43f82cc44c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gClUssRS4NgQ4sHmZBvcyMiuuT0M4Kglcv/t1WH6Blhethx/9ZmT5XM+z6dI8v70SJ1FSFxWhdgJ+TAKMLfJCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T12:33:15.988940Z","bundle_sha256":"70c405ce8448cd6c0dc348ebf4127f7ce99c960786a15a3068238b1d77b7fd59"}}