{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","short_pith_number":"pith:42B3UDKA","canonical_record":{"source":{"id":"2608.10783","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-11T10:43:31Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"3e26feba1e98c18edfed6db5b85bc69410935b8cc1ea21d4a667bfe6df386640","abstract_canon_sha256":"ee8a8c622ee3b661f7eb0125763ed4124d1e83eebd1cbe393155dd7930e89983"},"schema_version":"1.0"},"canonical_sha256":"e683ba0d40c1ba21bf8199c55053872d8732586110861f49d49e52c039c8ba87","source":{"kind":"arxiv","id":"2608.10783","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.10783","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"2608.10783v1","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.10783","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"42B3UDKAYG5C","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"pith_short_16","alias_value":"42B3UDKAYG5CDP4B","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"pith_short_8","alias_value":"42B3UDKA","created_at":"2026-08-12T01:23:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"record","payload":{"canonical_record":{"source":{"id":"2608.10783","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-11T10:43:31Z","cross_cats_sorted":["math-ph","math.MP","math.OA"],"title_canon_sha256":"3e26feba1e98c18edfed6db5b85bc69410935b8cc1ea21d4a667bfe6df386640","abstract_canon_sha256":"ee8a8c622ee3b661f7eb0125763ed4124d1e83eebd1cbe393155dd7930e89983"},"schema_version":"1.0"},"canonical_sha256":"e683ba0d40c1ba21bf8199c55053872d8732586110861f49d49e52c039c8ba87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-12T01:23:16.199816Z","signature_b64":"OxTOuERMf8FB3eBAfwTR9El+z5CCVxuf/k8T4SyPRKKlgUaAvoBztCnXWiv2YB8WLAvrTlgISe22kX59RnZ5CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e683ba0d40c1ba21bf8199c55053872d8732586110861f49d49e52c039c8ba87","last_reissued_at":"2026-08-12T01:23:16.198222Z","signature_status":"signed_v1","first_computed_at":"2026-08-12T01:23:16.198222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.10783","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":"2026-08-12T01:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bNiNp9YKrn3Jt/1336vXVYI8cSImlpCRG77ijxc1YwY3/9CJ7p3sz+m2uLRIoLTvfT419RhIDWWvFJWqRw+sBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.093360Z"},"content_sha256":"24f89cb2bca97cd6f4666a990fefc316c3e71409c1031f87629957ba2bf32704","schema_version":"1.0","event_id":"sha256:24f89cb2bca97cd6f4666a990fefc316c3e71409c1031f87629957ba2bf32704"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum steering is equivalent to state-preserving conditional expectations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.OA"],"primary_cat":"quant-ph","authors_text":"Alexander Stottmeister, Amine Marrakchi, Henrik Wilming, Lauritz van Luijk, Tobias Osborne","submitted_at":"2026-08-11T10:43:31Z","abstract_excerpt":"In systems with infinitely many degrees of freedom, fundamental results from quantum information theory can fail. An important example is the uniqueness of purifications: Even when two subsystems, described by commuting von Neumann algebras $A$ and $B$, are tomographically complete, purifications of a state on $A$ need not be related by unitaries in $B$. It was recently shown that this occurs precisely when Haag duality fails, i.e., when the commutant $B'$ is strictly larger than $A$. This raises the question of which fundamental entanglement properties survive in such a setting. We show that,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.10783","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.10783/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-12T01:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WujMSJXpgsM+xO9fEN206ID8wAq+FYYNr9bTsNL6PGEKE0Wpa4jCRMAAXH2xhyV7COwiULejsIh7A338MgzWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.094671Z"},"content_sha256":"43ebb824d82ac1773c6a168d18b143ce21b62eba6a8adfdff7c713980647e812","schema_version":"1.0","event_id":"sha256:43ebb824d82ac1773c6a168d18b143ce21b62eba6a8adfdff7c713980647e812"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1007/3-540-28517-2) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"B. Blackadar. Operator Algebras. Red. by J. Cuntz and V. F.R. Jones. Vol. 122. Encyclopaedia of Mathematical Sciences. Berlin, Heidelberg: Springer, 2006.isbn: 978-3-540-28486-4. doi: 10.1007/3- 540-28517-2","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"ref_index":71,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1007/3-","reconstructed_doi":"10.1007/3-540-28517-2"},"severity":"advisory","ref_index":71,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/3-540-28517-2","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"c91ed691ad9bd6198853a50b27fa6762de347d4dd9b9f9e372e95b9f5be1c7bb","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19378,"payload_sha256":"724546bba0cba173404f531a253dd38b4236eeadbfb59a161da089cb3baa7cb0","signature_b64":"3eWJiV8MAk0fyImd3qv22ogl0Q+rSAhE4NWQKKzAs3jQ/g0cIkCZXIpHVAqJWPGXjGLAwV3+O9vsZP9GacTDBw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AW8iG0pqWmmTisqPSfZmWJhefrNJ0gmJZrP1H5rYeAW9oJghRKeU5AO5ckQjLHbqsYd2SEmDPON/w2/UZ4kgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.098707Z"},"content_sha256":"ed9dcb7f18b86a6bfb4d3785468e1574c6b9537f9a34b2e36c036f5b5f8a4d77","schema_version":"1.0","event_id":"sha256:ed9dcb7f18b86a6bfb4d3785468e1574c6b9537f9a34b2e36c036f5b5f8a4d77"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1007/s00220-005-1510-7) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"A. Jenčová and D. Petz. “Sufficiency in Quantum Statistical Inference”. In:Communications in Mathe- matical Physics263.1 (Apr. 1, 2006), pp. 259–276.issn: 1432-0916. doi: 10.1007/s00220-005-1510- 7","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"ref_index":69,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1007/s00220-005-1510-","reconstructed_doi":"10.1007/s00220-005-1510-7"},"severity":"advisory","ref_index":69,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/s00220-005-1510-7","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"fae752cedba3959917d36d973c70593e5cd68ed66d3ea54eb3b0794becf10c44","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19377,"payload_sha256":"3e82c7971c92f1e9f49c09a20b34dfeb3884640adf25261c50ee197cf39ea01c","signature_b64":"DsfGUlAH68P2b685sOmhFkVjt4cc7HsZuIMjTHUSDe8KSkzRoRj44+XGyxLUYQ7rylJGfnFHJT2+JO0RXUKoDA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xsW1t90WKuvPTQqIDFTBvhg4/Ys4fyGGxtc4GjREp0ZQKkNI11S6IPuV0Fp8oUsxR0l6FO7CANFTRMV5MnQmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.099162Z"},"content_sha256":"3690456649fe01f4bf5375ebd2e6d5517003901c8876eb555bccc1dbc4ae4c89","schema_version":"1.0","event_id":"sha256:3690456649fe01f4bf5375ebd2e6d5517003901c8876eb555bccc1dbc4ae4c89"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"Identifier '10.1016/s0034-4877(74' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"S. L. Woronowicz. “Selfpolar forms and their applications to the C*-algebra theory”. In:Reports on Mathematical Physics6.3 (Dec. 1, 1974), pp. 487–495.issn: 0034-4877.doi: 10.1016/S0034-4877(74) 80012-1","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"doi":"10.1016/s0034-4877(74","arxiv_id":null,"ref_index":63,"raw_excerpt":"S. L. Woronowicz. “Selfpolar forms and their applications to the C*-algebra theory”. In:Reports on Mathematical Physics6.3 (Dec. 1, 1974), pp. 487–495.issn: 0034-4877.doi: 10.1016/S0034-4877(74) 80012-1","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":63,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1016/s0034-4877(74","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"85c9058dcd31271290d0af083c92fd1c475419c02937d6f374ad1ca1f89d30e4","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19376,"payload_sha256":"51571eb39ae49d38ada3cc4d9a0dc6ff34ce509be7bc6c4ac1320ed7e88d0f33","signature_b64":"KLR5Jla8tD4UIApUnGyt8pfjPaKWrYOVwLBnsYeZ8kgcCD7t6dSNwHMKnnKAx2kax5s+Gw2lcsb1l6ZBFVTPDg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4WGx18VR4tVG+qkkkEsX6/eP2j2NFfP9Cz5gEihyCErZUYmHnKLSFzoC9hEX67r3iid0K0xfnFcKi0ICu69sCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.099611Z"},"content_sha256":"1ce556919dc3520e1e7d8f57b65e9fb73486e91168e31a7e44f72ff11947a54a","schema_version":"1.0","event_id":"sha256:1ce556919dc3520e1e7d8f57b65e9fb73486e91168e31a7e44f72ff11947a54a"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1007/978-3-642-34369-8) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"E. Størmer. Positive Linear Maps of Operator Algebras. Springer Monographs in Mathematics. Berlin, Heidelberg: Springer, 2013. isbn: 978-3-642-34368-1 978-3-642-34369-8. doi: 10.1007/978- 3- 642- 34369-8","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"ref_index":60,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1007/978-","reconstructed_doi":"10.1007/978-3-642-34369-8"},"severity":"advisory","ref_index":60,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/978-3-642-34369-8","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"ba2f7d27935e400ec2fee964e455c167ffca98803b7281f0745005d4483b6ae1","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19375,"payload_sha256":"1d20d307870ab826ec14c7f4fc07e814d58a828b1962587ef1b53956613ad496","signature_b64":"P8O9uTdMlB4w51BHVpmP6bgP2XlHQjWnxokM8dnC07XX6XRsNtKTPIgWcHkkrvzeouw5CF7wj9NqVnCHnNS3CQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaPfHjiVQGCglJ5QR1dV6Wpo1ZA6Plrt02FAGrNxQh5xyyUJ1gYoUDwlmTc/GuuAQQXj5CX/QiCyQo7Goza7Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.100022Z"},"content_sha256":"a09dda466cc13e3b45c224f51f88add38a5ab197f6543eeccaf429618cd530e2","schema_version":"1.0","event_id":"sha256:a09dda466cc13e3b45c224f51f88add38a5ab197f6543eeccaf429618cd530e2"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"DOI is split by whitespace or line breaks in the printed bibliography. Reconstructed DOI 10.1063/1.4818272 resolves to 'Kosaki-Longo index and classification of charges in 2D quantum spin models'. A reader following the printed text alone cannot reach it.","snippet":"P. Naaijkens. “Kosaki-Longo Index and Classification of Charges in 2D Quantum Spin Models”. In: Journal of Mathematical Physics54.8 (Aug. 16, 2013), p. 081901.issn: 0022-2488. doi: 10.1063/1. 4818272","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"ref_index":19,"verdict_class":"incontrovertible","resolved_title":"Kosaki-Longo index and classification of charges in 2D quantum spin models","printed_excerpt":"10.1063/1","reconstructed_doi":"10.1063/1.4818272"},"severity":"advisory","ref_index":19,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1063/1.4818272","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"a8fc21556cafb6353e2014c11b69130722691141777c141ffdceaf4cca9aa747","paper_version":1,"verdict_class":"incontrovertible","resolved_title":"Kosaki-Longo index and classification of charges in 2D quantum spin models","detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19374,"payload_sha256":"0d877d856215e44899ae7beae984303e5e574a7bc880ca4b6ebe79c0eea6f211","signature_b64":"TtJ4CcHO3gAwCljZpWsxCpvKNcJpNdzWhoqJTuy6ZzBzMs9te2gPlWTM4xLUmnl8mI9dLTTywCf8gqMtfDMzAQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lPCtc2xyh3ZbfOQTGLhKr7VZrwX/5S6Ba7d03AmxSaQhhhZmLyXaO5mO/qg2zWBbViVgikS3M5XXsg5xcZ0TDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.100401Z"},"content_sha256":"19b37ca951ba710b6ec597656963a60a2a90a1bd003b90bb355993c4579e0fec","schema_version":"1.0","event_id":"sha256:19b37ca951ba710b6ec597656963a60a2a90a1bd003b90bb355993c4579e0fec"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1017/fms.2025.16) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"C. Jones, P. Naaijkens, D. Penneys, D. Wallick, and M. Izumi. “Local Topological Order and Boundary Algebras”. In: Forum of Mathematics, Sigma13 (2025), e135. issn: 2050-5094. doi: 10.1017/fms. 2025.16","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"ref_index":14,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1017/fms","reconstructed_doi":"10.1017/fms.2025.16"},"severity":"advisory","ref_index":14,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1017/fms.2025.16","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"f549cce694bd1231f97cea347ef3a6f48c76a3210f5e81e14009ae8bb3cbebad","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19373,"payload_sha256":"71ea5a98df98f477fd58d1b8bb87a25596163a860b6604123d3dfbb54fe9013a","signature_b64":"LSOQNjUbPJBaX9JBlEAjDIteQO0AAMqs1dFanhrGRGCWTUS2sym0nO90+Jg9mfCmPsv68EG88Rw/mJdBEF5FCg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FeAontyrVtY+Egk5yyI6Y0T3XZTexZsEp616RWUhxAnqIBn/T4Wm9k8fmLfDllSXX8+4LhlW+85WfRYQZNX4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.100770Z"},"content_sha256":"1c45595f68600a18f485a302ef705bac1ceda473466aeec344727a22fbfb80e5","schema_version":"1.0","event_id":"sha256:1c45595f68600a18f485a302ef705bac1ceda473466aeec344727a22fbfb80e5"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","target":"integrity","payload":{"note":"DOI in the printed bibliography is fragmented by whitespace or line breaks. A longer candidate (10.1007/s11005-012-0572-7) was visible in the surrounding text but could not be confirmed against doi.org as printed.","snippet":"P. Naaijkens. “Haag Duality and the Distal Split Property for Cones in the Toric Code”. In:Letters in Mathematical Physics101.3 (Sept. 1, 2012), pp. 341–354.issn: 1573-0530. doi: 10.1007/s11005- 012-0572-7","arxiv_id":"2608.10783","detector":"doi_compliance","evidence":{"ref_index":11,"verdict_class":"incontrovertible","resolved_title":null,"printed_excerpt":"10.1007/s11005-","reconstructed_doi":"10.1007/s11005-012-0572-7"},"severity":"advisory","ref_index":11,"audited_at":"2026-08-12T17:48:22.366454Z","event_type":"pith.integrity.v1","detected_doi":"10.1007/s11005-012-0572-7","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"recoverable_identifier","evidence_hash":"a63d5e252c18ea7ed914cec0696e42df25cd78c42e355941a6b217d2425b7d07","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":19372,"payload_sha256":"312a82de8bc24f985db3d26819d591e5356f33ccc185bcaa6cadd1281067769b","signature_b64":"7Ag93Esj935aQDdr8M0id+knMFffPzMuzEQkTukcQXcG5lHQSUVf8DbtHAHDlgFfreBsD7TcOdMcxSfKgH0FCA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-08-12T17:48:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wSICGPDY09KA5L3mrPVL9BBomxfI9eEExNiDBTY+Vr5w+Vt0x620j3AQOAfa4zvCmStqluXvTpADWIOkXTpXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:15:20.101139Z"},"content_sha256":"63e83f2388d78a6a606a92feec14f39d89f946735439fca585f0336cca3d7cd2","schema_version":"1.0","event_id":"sha256:63e83f2388d78a6a606a92feec14f39d89f946735439fca585f0336cca3d7cd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/42B3UDKAYG5CDP4BTHCVAU4HFW/bundle.json","state_url":"https://pith.science/pith/42B3UDKAYG5CDP4BTHCVAU4HFW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/42B3UDKAYG5CDP4BTHCVAU4HFW/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":"2026-08-13T10:15:20Z","links":{"resolver":"https://pith.science/pith/42B3UDKAYG5CDP4BTHCVAU4HFW","bundle":"https://pith.science/pith/42B3UDKAYG5CDP4BTHCVAU4HFW/bundle.json","state":"https://pith.science/pith/42B3UDKAYG5CDP4BTHCVAU4HFW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/42B3UDKAYG5CDP4BTHCVAU4HFW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:42B3UDKAYG5CDP4BTHCVAU4HFW","merge_version":"pith-open-graph-merge-v1","event_count":9,"valid_event_count":9,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"ee8a8c622ee3b661f7eb0125763ed4124d1e83eebd1cbe393155dd7930e89983","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-11T10:43:31Z","title_canon_sha256":"3e26feba1e98c18edfed6db5b85bc69410935b8cc1ea21d4a667bfe6df386640"},"schema_version":"1.0","source":{"id":"2608.10783","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.10783","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"2608.10783v1","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.10783","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"42B3UDKAYG5C","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"pith_short_16","alias_value":"42B3UDKAYG5CDP4B","created_at":"2026-08-12T01:23:16Z"},{"alias_kind":"pith_short_8","alias_value":"42B3UDKA","created_at":"2026-08-12T01:23:16Z"}],"graph_snapshots":[{"event_id":"sha256:43ebb824d82ac1773c6a168d18b143ce21b62eba6a8adfdff7c713980647e812","target":"graph","created_at":"2026-08-12T01:23:16Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.10783/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In systems with infinitely many degrees of freedom, fundamental results from quantum information theory can fail. An important example is the uniqueness of purifications: Even when two subsystems, described by commuting von Neumann algebras $A$ and $B$, are tomographically complete, purifications of a state on $A$ need not be related by unitaries in $B$. It was recently shown that this occurs precisely when Haag duality fails, i.e., when the commutant $B'$ is strictly larger than $A$. This raises the question of which fundamental entanglement properties survive in such a setting. We show that,","authors_text":"Alexander Stottmeister, Amine Marrakchi, Henrik Wilming, Lauritz van Luijk, Tobias Osborne","cross_cats":["math-ph","math.MP","math.OA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-11T10:43:31Z","title":"Quantum steering is equivalent to state-preserving conditional expectations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.10783","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":"sha256:24f89cb2bca97cd6f4666a990fefc316c3e71409c1031f87629957ba2bf32704","target":"record","created_at":"2026-08-12T01:23:16Z","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":"ee8a8c622ee3b661f7eb0125763ed4124d1e83eebd1cbe393155dd7930e89983","cross_cats_sorted":["math-ph","math.MP","math.OA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-11T10:43:31Z","title_canon_sha256":"3e26feba1e98c18edfed6db5b85bc69410935b8cc1ea21d4a667bfe6df386640"},"schema_version":"1.0","source":{"id":"2608.10783","kind":"arxiv","version":1}},"canonical_sha256":"e683ba0d40c1ba21bf8199c55053872d8732586110861f49d49e52c039c8ba87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e683ba0d40c1ba21bf8199c55053872d8732586110861f49d49e52c039c8ba87","first_computed_at":"2026-08-12T01:23:16.198222Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-12T01:23:16.198222Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OxTOuERMf8FB3eBAfwTR9El+z5CCVxuf/k8T4SyPRKKlgUaAvoBztCnXWiv2YB8WLAvrTlgISe22kX59RnZ5CA==","signature_status":"signed_v1","signed_at":"2026-08-12T01:23:16.199816Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.10783","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:19b37ca951ba710b6ec597656963a60a2a90a1bd003b90bb355993c4579e0fec","sha256:1c45595f68600a18f485a302ef705bac1ceda473466aeec344727a22fbfb80e5","sha256:1ce556919dc3520e1e7d8f57b65e9fb73486e91168e31a7e44f72ff11947a54a","sha256:3690456649fe01f4bf5375ebd2e6d5517003901c8876eb555bccc1dbc4ae4c89","sha256:63e83f2388d78a6a606a92feec14f39d89f946735439fca585f0336cca3d7cd2","sha256:a09dda466cc13e3b45c224f51f88add38a5ab197f6543eeccaf429618cd530e2","sha256:ed9dcb7f18b86a6bfb4d3785468e1574c6b9537f9a34b2e36c036f5b5f8a4d77"]}],"invalid_events":[],"applied_event_ids":["sha256:24f89cb2bca97cd6f4666a990fefc316c3e71409c1031f87629957ba2bf32704","sha256:43ebb824d82ac1773c6a168d18b143ce21b62eba6a8adfdff7c713980647e812"],"state_sha256":"dcacb8642044bb79f766496500afee0dee55dceabeb4f46af61c3faf60f7858d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9aEb5nyKKbSDOLPHRhppko52B34BYiGOkY7/QrB12wbJuTbSxhaYJcUBk8I62FoUQbLaWIpI5ZuMoC/S/3eNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T10:15:20.110820Z","bundle_sha256":"d560f6b640f5ab2f7bf3cc60e1d8af585a230898e36338f0b4b05f2a3fff8549"}}