{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HYIOIAS7Q6PASR6ZQMRUZKFQ2I","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":"1d2a6a48423d1c2cc50334a11477f292d1cd4c472dff5fd89aab50542e9d8294","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T07:59:40Z","title_canon_sha256":"5611112c8e472f325795d06e0e154c4e0ef0f2962a387ce2c92a63e89a1c03dc"},"schema_version":"1.0","source":{"id":"2605.14515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.14515","created_at":"2026-05-17T23:39:06Z"},{"alias_kind":"arxiv_version","alias_value":"2605.14515v1","created_at":"2026-05-17T23:39:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.14515","created_at":"2026-05-17T23:39:06Z"},{"alias_kind":"pith_short_12","alias_value":"HYIOIAS7Q6PA","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"HYIOIAS7Q6PASR6Z","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"HYIOIAS7","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:d9db3957a6c85fff641e85bb0d4eceb0760ccf6d830d0c9a07cf0c57a950ab0a","target":"graph","created_at":"2026-05-17T23:39:06Z","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":"the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality"},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the controlled-SWAP circuits implement the required multi-copy measurements with fidelity high enough that the extracted chirality correlator remains faithful to the ideal decomposition, especially under the marginal-noise construction."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"The moment difference between partial transpose and purity equals a spin-chirality correlator, enabling a spectral classifier that detects bound entanglement with 99.9% recall at zero false positives."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator."}],"snapshot_sha256":"2f83251c4e361c4a7bb09e49dcba6f5f993917be5ed5dd4254c0298586904ee8"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"2d94250d9f81167782e149346c6140b1371e3812eb055115800f3b7ad67cdd76"},"paper":{"abstract_excerpt":"Entanglement can hide in two fundamentally different ways. First, multi-copy correlations can carry information that no single-copy measurement on an unknown state is able to access. Second, bound entangled states possess a positive partial transpose, which makes them invisible to the Peres-Horodecki criterion and all moment inequalities that depend on it. Here we show that the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality -- the same quantity that governs chiral spin l","authors_text":"Franco Nori, Karol Bartkiewicz, Patrycja Tulewicz","cross_cats":[],"headline":"The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T07:59:40Z","title":"Spin chirality across quantum state copies detects hidden entanglement"},"references":{"count":44,"internal_anchors":0,"resolved_work":44,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Horodecki, R., Horodecki, P., Horodecki, M. & Horodecki, K. Quantum entanglement.Rev. Mod. Phys.81, 865–942 (2009)","work_id":"55b3431a-f6fc-4dd6-af45-670a68eff31d","year":2009},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Huang, H.-Y., Kueng, R. & Preskill, J. Predicting many properties of a quantum system from very few measurements.Nat. Phys.16, 1050–1057 (2020)","work_id":"b7c51e80-a197-4c70-bbc2-9cc3af02d296","year":2020},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Elben, A.et al.Mixed-state entanglement from local randomized measurements.Phys. Rev. Lett.125, 200501 (2020)","work_id":"1b319710-8489-4729-a990-581ed60e526d","year":2020},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Separability criterion for density matrices.Phys","work_id":"5aa13ea4-2303-4126-8353-10b7bf1d2442","year":1996},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Horodecki, M., Horodecki, P. & Horodecki, R. Separability of mixed states: necessary and sufficient conditions.Phys. Lett. A223, 1–8 (1996)","work_id":"87af7c73-1a98-4700-b32e-3e705fafb420","year":1996}],"snapshot_sha256":"150f0b373df69c3a8c4f47c8a5d072cda70a08b58136562a6be4372ba8d65206"},"source":{"id":"2605.14515","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-15T01:51:12.701377Z","id":"80c749cf-ba5c-49d3-9aca-c14bd0ec0df4","model_set":{"reader":"grok-4.3"},"one_line_summary":"The moment difference between partial transpose and purity equals a spin-chirality correlator, enabling a spectral classifier that detects bound entanglement with 99.9% recall at zero false positives.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The moment difference between partial transpose and purity decomposes exactly as a chirality-chirality correlator of the scalar spin chirality operator.","strongest_claim":"the moment difference between the partial transpose and purity decomposes exactly as a chirality-chirality correlator, where the relevant operator is the scalar spin chirality","weakest_assumption":"That the controlled-SWAP circuits implement the required multi-copy measurements with fidelity high enough that the extracted chirality correlator remains faithful to the ideal decomposition, especially under the marginal-noise construction."}},"verdict_id":"80c749cf-ba5c-49d3-9aca-c14bd0ec0df4"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:084d6104cef428b928031dd47b45f267208270de530c15914adc7a9aa7b8c5a0","target":"record","created_at":"2026-05-17T23:39:06Z","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":"1d2a6a48423d1c2cc50334a11477f292d1cd4c472dff5fd89aab50542e9d8294","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-05-14T07:59:40Z","title_canon_sha256":"5611112c8e472f325795d06e0e154c4e0ef0f2962a387ce2c92a63e89a1c03dc"},"schema_version":"1.0","source":{"id":"2605.14515","kind":"arxiv","version":1}},"canonical_sha256":"3e10e4025f879e0947d983234ca8b0d22e444cfdad598d55638b7843f2002fb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e10e4025f879e0947d983234ca8b0d22e444cfdad598d55638b7843f2002fb7","first_computed_at":"2026-05-17T23:39:06.140743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:39:06.140743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"naUN04L7tB1175a6PfjWwEmKvnjcB/z8hDMJj8LApciPZZsCpYq+33ZslYoXeRRNlQftagccZpBQnLDBJMqIDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:39:06.141513Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.14515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:084d6104cef428b928031dd47b45f267208270de530c15914adc7a9aa7b8c5a0","sha256:d9db3957a6c85fff641e85bb0d4eceb0760ccf6d830d0c9a07cf0c57a950ab0a"],"state_sha256":"52579104bb6475ddc15c997ac11b319b72bf0a2effcb29ca80b1cd48ec01b749"}