{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:YAWZ6JCYVMEBC7FFRYDXM3WKOV","short_pith_number":"pith:YAWZ6JCY","canonical_record":{"source":{"id":"2508.12817","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-18T10:54:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"51aa4e8c61b5c232f2e19055c356b6568eafe3ec1861a4afda354e7608c77f9f","abstract_canon_sha256":"b7a17fa7029179530448fcab7b2990b46078563a9b707884f86db522ef15eeeb"},"schema_version":"1.0"},"canonical_sha256":"c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94","source":{"kind":"arxiv","id":"2508.12817","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.12817","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"arxiv_version","alias_value":"2508.12817v2","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.12817","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"pith_short_12","alias_value":"YAWZ6JCYVMEB","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"pith_short_16","alias_value":"YAWZ6JCYVMEBC7FF","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"pith_short_8","alias_value":"YAWZ6JCY","created_at":"2026-07-05T12:07:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:YAWZ6JCYVMEBC7FFRYDXM3WKOV","target":"record","payload":{"canonical_record":{"source":{"id":"2508.12817","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-18T10:54:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"51aa4e8c61b5c232f2e19055c356b6568eafe3ec1861a4afda354e7608c77f9f","abstract_canon_sha256":"b7a17fa7029179530448fcab7b2990b46078563a9b707884f86db522ef15eeeb"},"schema_version":"1.0"},"canonical_sha256":"c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:07:10.525646Z","signature_b64":"/Kx3U4bJOWZM/KcVBElWcovwN6XW2h7rVExnSLuObV3krpgUtoVoqb8LDD5ZMYFAvYsRjh8HJdrV9zSwkCIMBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94","last_reissued_at":"2026-07-05T12:07:10.525150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:07:10.525150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.12817","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":"2026-07-05T12:07:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VB4ohxld8xanERvN0ob78FcPVVErplyETfs/e1PPRjT8JIktiSjf0pqAT63AUwSHZuTso5a2P+9WFPAoQRqeDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:38:56.494129Z"},"content_sha256":"c47b22ecdc6af1eaf93496716b8d3c8cf934bdff93736678de0a2be91f3a6300","schema_version":"1.0","event_id":"sha256:c47b22ecdc6af1eaf93496716b8d3c8cf934bdff93736678de0a2be91f3a6300"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:YAWZ6JCYVMEBC7FFRYDXM3WKOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Huaqi Zhou, Limei Zhang, Limin Gao, Mengjia Zhang, Yan Hong","submitted_at":"2025-08-18T10:54:10Z","abstract_excerpt":"Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of $k$-stretchability [Szalay, Quantum 3, 204 (2019)] provides a framework for describing multipartite entanglement structures. We investigate the detection of $k$-nonstretchability using informationally complete $(s,t)$-POVMs [Siudzi$\\textrm{\\'{n}}$ska, Phys. Rev. A 105, 042209 (2022)], which encompass GSIC-POVMs and MUMs. Several criteria for $k$-nonstretchability in multipartite quantum systems are established. These criteria identify classes of $k$-nonstretchable states, and their a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.12817","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.12817/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":"2026-07-05T12:07:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tTL39twtwS/fsxone2eot3RFHdC6SZ1oNfCI4loWBKjL4UsKVQ6fNX3I9g64NBI1HFjj1ho4NtL5AhXmpYZ3CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T11:38:56.494637Z"},"content_sha256":"a45fbd6e9fb12b25615cf6d1fa682c44a3ca1d14971c449f0b77d72dd05b25b3","schema_version":"1.0","event_id":"sha256:a45fbd6e9fb12b25615cf6d1fa682c44a3ca1d14971c449f0b77d72dd05b25b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV/bundle.json","state_url":"https://pith.science/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV/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":"2026-08-11T11:38:56Z","links":{"resolver":"https://pith.science/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV","bundle":"https://pith.science/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV/bundle.json","state":"https://pith.science/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YAWZ6JCYVMEBC7FFRYDXM3WKOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:YAWZ6JCYVMEBC7FFRYDXM3WKOV","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":"b7a17fa7029179530448fcab7b2990b46078563a9b707884f86db522ef15eeeb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-18T10:54:10Z","title_canon_sha256":"51aa4e8c61b5c232f2e19055c356b6568eafe3ec1861a4afda354e7608c77f9f"},"schema_version":"1.0","source":{"id":"2508.12817","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.12817","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"arxiv_version","alias_value":"2508.12817v2","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.12817","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"pith_short_12","alias_value":"YAWZ6JCYVMEB","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"pith_short_16","alias_value":"YAWZ6JCYVMEBC7FF","created_at":"2026-07-05T12:07:10Z"},{"alias_kind":"pith_short_8","alias_value":"YAWZ6JCY","created_at":"2026-07-05T12:07:10Z"}],"graph_snapshots":[{"event_id":"sha256:a45fbd6e9fb12b25615cf6d1fa682c44a3ca1d14971c449f0b77d72dd05b25b3","target":"graph","created_at":"2026-07-05T12:07:10Z","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/2508.12817/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Characterizing multipartite entanglement is a fundamental problem in quantum information theory. The concept of $k$-stretchability [Szalay, Quantum 3, 204 (2019)] provides a framework for describing multipartite entanglement structures. We investigate the detection of $k$-nonstretchability using informationally complete $(s,t)$-POVMs [Siudzi$\\textrm{\\'{n}}$ska, Phys. Rev. A 105, 042209 (2022)], which encompass GSIC-POVMs and MUMs. Several criteria for $k$-nonstretchability in multipartite quantum systems are established. These criteria identify classes of $k$-nonstretchable states, and their a","authors_text":"Huaqi Zhou, Limei Zhang, Limin Gao, Mengjia Zhang, Yan Hong","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-18T10:54:10Z","title":"Detecting $k$-nonstretchability via a class of informationally complete symmetric measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.12817","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:c47b22ecdc6af1eaf93496716b8d3c8cf934bdff93736678de0a2be91f3a6300","target":"record","created_at":"2026-07-05T12:07:10Z","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":"b7a17fa7029179530448fcab7b2990b46078563a9b707884f86db522ef15eeeb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-08-18T10:54:10Z","title_canon_sha256":"51aa4e8c61b5c232f2e19055c356b6568eafe3ec1861a4afda354e7608c77f9f"},"schema_version":"1.0","source":{"id":"2508.12817","kind":"arxiv","version":2}},"canonical_sha256":"c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c02d9f2458ab08117ca58e07766eca756142da6f9b38949ad0d883738b135e94","first_computed_at":"2026-07-05T12:07:10.525150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:07:10.525150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Kx3U4bJOWZM/KcVBElWcovwN6XW2h7rVExnSLuObV3krpgUtoVoqb8LDD5ZMYFAvYsRjh8HJdrV9zSwkCIMBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T12:07:10.525646Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.12817","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c47b22ecdc6af1eaf93496716b8d3c8cf934bdff93736678de0a2be91f3a6300","sha256:a45fbd6e9fb12b25615cf6d1fa682c44a3ca1d14971c449f0b77d72dd05b25b3"],"state_sha256":"be4675e1b6e33f69cd717cbe8e797e5a38cb19d53c343ceb70c2bd580b6a2ee9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NQliuKezeAeYQ+7YGGHN24N9tc+5u+lAeU1ZDmODklaiG3tb1NlsINX3zJPF7i30EcOu4NpdcNnXi57L8egMBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T11:38:56.498880Z","bundle_sha256":"a9d36a464672e0d0832c2264d581e3c89de5f9606ec6c1835b208dcc4c21a035"}}