{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:45UX6NFOJD62Z5MQ5R2MFV2GW3","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":"bc1961af51fa56a9df66b222e0b3c1a33db7eb4181174c2e4958c8afc2327e08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-13T16:36:41Z","title_canon_sha256":"5d7df096d44e85314f8723e807e946086ae76195233a85d789d328390df2948a"},"schema_version":"1.0","source":{"id":"2605.13756","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13756","created_at":"2026-05-18T02:44:16Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13756v1","created_at":"2026-05-18T02:44:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13756","created_at":"2026-05-18T02:44:16Z"},{"alias_kind":"pith_short_12","alias_value":"45UX6NFOJD62","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"45UX6NFOJD62Z5MQ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"45UX6NFO","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:5e3bd0918acb4ce11620b0f27ab5f4e26bcba3e085b280e162782d4211bae873","target":"graph","created_at":"2026-05-18T02:44:16Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We introduce a new form of quantum selective measurement in which the von Neumann projection postulate is replaced by quasilinear evolution, governed by a nonlinear generalization of the von Neumann equation... it preserves the equivalence of quantum ensembles and, consequently, satisfies the no-signalling principle."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The specific nonlinear generalization of the von Neumann equation is assumed to preserve ensemble equivalence and no-signaling without additional constraints or post-selection, as stated in the abstract without derivation details."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Quasilinear evolution replaces von Neumann projection for selective measurements, providing continuous state reduction without collapse while satisfying no-signaling and Born rule."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A nonlinear generalization of the von Neumann equation replaces instantaneous projection with continuous quasilinear evolution in selective quantum measurements."}],"snapshot_sha256":"343ec7497ee3babc96d88c356dee593830626a7620a77427c632fed96ea94d40"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this article, we introduce a new form of quantum selective measurement in which the von Neumann projection postulate is replaced by quasilinear evolution, governed by a nonlinear generalization of the von Neumann equation. We demonstrate that this equation preserves the equivalence of quantum ensembles and, consequently, satisfies the no-signalling principle, ensuring consistency with both quantum mechanics and Einstein causality. Our approach eliminates the need for instantaneous, discontinuous state collapse and provides a unified description of the postmeasurement quantum state reduction","authors_text":"Jakub Rembieli\\'nski, Karol {\\L}awniczak","cross_cats":[],"headline":"A nonlinear generalization of the von Neumann equation replaces instantaneous projection with continuous quasilinear evolution in selective quantum measurements.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-13T16:36:41Z","title":"Quasilinear evolution versus von Neumann selective measurement"},"references":{"count":55,"internal_anchors":4,"resolved_work":55,"sample":[{"cited_arxiv_id":"2605.13756","doi":"","is_internal_anchor":true,"ref_index":1,"title":"Quasilinear evolution versus von Neumann selective measurement","work_id":"1005e578-e4fd-46b5-ac7b-27c7a3796296","year":2026},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"The following figure presents the state dy- namics under the scaleg0 much lower and much higher than in previous examples","work_id":"bf7c1f56-e269-4e74-bc5c-4c744fa6f9e9","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Figure 7 presents the state dynamics for two orientations ofg","work_id":"97e91ed6-ff34-4078-905d-30dcc190df5e","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"In the case of the inverted Morse potential, the shape parameterκmay be adjusted","work_id":"1f19d07f-5bac-459e-9660-8d45c3047579","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"J. Rembieliński and P. Caban, Physical Review Research 2, 012027 (2020)","work_id":"5e455029-1782-4e5a-a4d0-d0bd890bc622","year":2020}],"snapshot_sha256":"c437318fb3fccc9cdc9062a26f22a11bb5754bc257094c8a7266b3e5dcb5bfad"},"source":{"id":"2605.13756","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T17:52:40.030460Z","id":"5e352c0b-af81-40c3-92ae-7d9d7bb8578e","model_set":{"reader":"grok-4.3"},"one_line_summary":"Quasilinear evolution replaces von Neumann projection for selective measurements, providing continuous state reduction without collapse while satisfying no-signaling and Born rule.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A nonlinear generalization of the von Neumann equation replaces instantaneous projection with continuous quasilinear evolution in selective quantum measurements.","strongest_claim":"We introduce a new form of quantum selective measurement in which the von Neumann projection postulate is replaced by quasilinear evolution, governed by a nonlinear generalization of the von Neumann equation... it preserves the equivalence of quantum ensembles and, consequently, satisfies the no-signalling principle.","weakest_assumption":"The specific nonlinear generalization of the von Neumann equation is assumed to preserve ensemble equivalence and no-signaling without additional constraints or post-selection, as stated in the abstract without derivation details."}},"verdict_id":"5e352c0b-af81-40c3-92ae-7d9d7bb8578e"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:4ece6ded877791f020f720535dd56aa3ce70905e756023f2c348042cf3850ed3","target":"record","created_at":"2026-05-18T02:44:16Z","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":"bc1961af51fa56a9df66b222e0b3c1a33db7eb4181174c2e4958c8afc2327e08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-05-13T16:36:41Z","title_canon_sha256":"5d7df096d44e85314f8723e807e946086ae76195233a85d789d328390df2948a"},"schema_version":"1.0","source":{"id":"2605.13756","kind":"arxiv","version":1}},"canonical_sha256":"e7697f34ae48fdacf590ec74c2d746b6ddcd4d2e2d639e0eb064546f568fd7a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7697f34ae48fdacf590ec74c2d746b6ddcd4d2e2d639e0eb064546f568fd7a8","first_computed_at":"2026-05-18T02:44:16.337961Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:16.337961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WVIcBosIZmNjOV0WISP6iKBppTYtu4Aor+H/Oge6d9/4nNjZyXWWF7F4l8d2AHT25koZLx5ANymeyXXr6msVCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:16.338430Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13756","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ece6ded877791f020f720535dd56aa3ce70905e756023f2c348042cf3850ed3","sha256:5e3bd0918acb4ce11620b0f27ab5f4e26bcba3e085b280e162782d4211bae873"],"state_sha256":"9cc933eec9f39bb32b2e4f01602eaadb6a77db9bce4a8b581edf73c3556c2a90"}