{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LB2UXB3V7QKVFDT3RXK43BYE6D","short_pith_number":"pith:LB2UXB3V","canonical_record":{"source":{"id":"2412.01696","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-02T16:40:17Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"34880e76f05a535bccf2eb648c0e9eafe7d7bcbed63b1249df4278808c9794ca","abstract_canon_sha256":"6650e6f5ed935ee1e0cfbb8fc3344d8926dc69a58ae42ea1dad9227ec605d2c6"},"schema_version":"1.0"},"canonical_sha256":"58754b8775fc15528e7b8dd5cd8704f0c65345b495815c539b9f62a3c18734db","source":{"kind":"arxiv","id":"2412.01696","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01696","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01696v3","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01696","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"LB2UXB3V7QKV","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"pith_short_16","alias_value":"LB2UXB3V7QKVFDT3","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"pith_short_8","alias_value":"LB2UXB3V","created_at":"2026-07-05T11:24:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LB2UXB3V7QKVFDT3RXK43BYE6D","target":"record","payload":{"canonical_record":{"source":{"id":"2412.01696","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-02T16:40:17Z","cross_cats_sorted":["cs.DS"],"title_canon_sha256":"34880e76f05a535bccf2eb648c0e9eafe7d7bcbed63b1249df4278808c9794ca","abstract_canon_sha256":"6650e6f5ed935ee1e0cfbb8fc3344d8926dc69a58ae42ea1dad9227ec605d2c6"},"schema_version":"1.0"},"canonical_sha256":"58754b8775fc15528e7b8dd5cd8704f0c65345b495815c539b9f62a3c18734db","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:24:52.199912Z","signature_b64":"7ApIYbUU6BHSGVzRQWFFkqcN5z72C9niJnuIzFFYIzlXKICD/YAn7RffIp2VmbG6lWy14nw8d882j6h8PJ7sCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58754b8775fc15528e7b8dd5cd8704f0c65345b495815c539b9f62a3c18734db","last_reissued_at":"2026-07-05T11:24:52.199420Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:24:52.199420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.01696","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G4mbhMgdogiOIV+FhRqddjmO7PowAODuSaJBsytLlfNADOGqnTFPjYJ8c+ycWIby5usGXuK/AdMZWJ2IqsKPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:26:19.300437Z"},"content_sha256":"18d7793668616e90407921312e5e3d0bcff181bcb6aa53a279ff3abe3e30d3a7","schema_version":"1.0","event_id":"sha256:18d7793668616e90407921312e5e3d0bcff181bcb6aa53a279ff3abe3e30d3a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LB2UXB3V7QKVFDT3RXK43BYE6D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sample-Efficient Estimation of Nonlinear Quantum State Functions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.DS"],"primary_cat":"quant-ph","authors_text":"Hongshun Yao, Tengxiang Lin, Xin Wang, Yingjian Liu","submitted_at":"2024-12-02T16:40:17Z","abstract_excerpt":"Efficient estimation of nonlinear functions of quantum states is crucial for various key tasks in quantum computing, such as entanglement spectroscopy, fidelity estimation, and feature analysis of quantum data. Conventional methods using state tomography and estimating numerous terms of the series expansion are computationally expensive, while alternative approaches based on a purified query oracle impose practical constraints. In this paper, we introduce the quantum state function (QSF) framework by extending the SWAP test via linear combination of unitaries and parameterized quantum circuits"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01696","kind":"arxiv","version":3},"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/2412.01696/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":"2026-07-05T11:24:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q0k36JOfr5f5FGbF9fCw0E0Efi+HKtCA90t9e0PPL8LkrF4IclGo1/oJnSGcRYCjGGMZ0oPWfE2cgb69lpl3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T20:26:19.301469Z"},"content_sha256":"4618a813025ca5d78fff0a6c4082842719f5e9330412e4b5f780679986c865d6","schema_version":"1.0","event_id":"sha256:4618a813025ca5d78fff0a6c4082842719f5e9330412e4b5f780679986c865d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LB2UXB3V7QKVFDT3RXK43BYE6D/bundle.json","state_url":"https://pith.science/pith/LB2UXB3V7QKVFDT3RXK43BYE6D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LB2UXB3V7QKVFDT3RXK43BYE6D/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":"2026-08-08T20:26:19Z","links":{"resolver":"https://pith.science/pith/LB2UXB3V7QKVFDT3RXK43BYE6D","bundle":"https://pith.science/pith/LB2UXB3V7QKVFDT3RXK43BYE6D/bundle.json","state":"https://pith.science/pith/LB2UXB3V7QKVFDT3RXK43BYE6D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LB2UXB3V7QKVFDT3RXK43BYE6D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LB2UXB3V7QKVFDT3RXK43BYE6D","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":"6650e6f5ed935ee1e0cfbb8fc3344d8926dc69a58ae42ea1dad9227ec605d2c6","cross_cats_sorted":["cs.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-02T16:40:17Z","title_canon_sha256":"34880e76f05a535bccf2eb648c0e9eafe7d7bcbed63b1249df4278808c9794ca"},"schema_version":"1.0","source":{"id":"2412.01696","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.01696","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"2412.01696v3","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.01696","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"LB2UXB3V7QKV","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"pith_short_16","alias_value":"LB2UXB3V7QKVFDT3","created_at":"2026-07-05T11:24:52Z"},{"alias_kind":"pith_short_8","alias_value":"LB2UXB3V","created_at":"2026-07-05T11:24:52Z"}],"graph_snapshots":[{"event_id":"sha256:4618a813025ca5d78fff0a6c4082842719f5e9330412e4b5f780679986c865d6","target":"graph","created_at":"2026-07-05T11:24:52Z","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/2412.01696/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Efficient estimation of nonlinear functions of quantum states is crucial for various key tasks in quantum computing, such as entanglement spectroscopy, fidelity estimation, and feature analysis of quantum data. Conventional methods using state tomography and estimating numerous terms of the series expansion are computationally expensive, while alternative approaches based on a purified query oracle impose practical constraints. In this paper, we introduce the quantum state function (QSF) framework by extending the SWAP test via linear combination of unitaries and parameterized quantum circuits","authors_text":"Hongshun Yao, Tengxiang Lin, Xin Wang, Yingjian Liu","cross_cats":["cs.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-02T16:40:17Z","title":"Sample-Efficient Estimation of Nonlinear Quantum State Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.01696","kind":"arxiv","version":3},"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":"sha256:18d7793668616e90407921312e5e3d0bcff181bcb6aa53a279ff3abe3e30d3a7","target":"record","created_at":"2026-07-05T11:24:52Z","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":"6650e6f5ed935ee1e0cfbb8fc3344d8926dc69a58ae42ea1dad9227ec605d2c6","cross_cats_sorted":["cs.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-02T16:40:17Z","title_canon_sha256":"34880e76f05a535bccf2eb648c0e9eafe7d7bcbed63b1249df4278808c9794ca"},"schema_version":"1.0","source":{"id":"2412.01696","kind":"arxiv","version":3}},"canonical_sha256":"58754b8775fc15528e7b8dd5cd8704f0c65345b495815c539b9f62a3c18734db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58754b8775fc15528e7b8dd5cd8704f0c65345b495815c539b9f62a3c18734db","first_computed_at":"2026-07-05T11:24:52.199420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:24:52.199420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ApIYbUU6BHSGVzRQWFFkqcN5z72C9niJnuIzFFYIzlXKICD/YAn7RffIp2VmbG6lWy14nw8d882j6h8PJ7sCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:24:52.199912Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.01696","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18d7793668616e90407921312e5e3d0bcff181bcb6aa53a279ff3abe3e30d3a7","sha256:4618a813025ca5d78fff0a6c4082842719f5e9330412e4b5f780679986c865d6"],"state_sha256":"72bc6b33681874636cea6980cdcd8b427594200c78385256370e2846a291a6cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ezfymjvQpjvGeMrZ7WKfU4NSgL3jsMMpV0W2GZXps7m1F4StUZwr8HyfbvEypg/5XE9T8X76cXwqWCqd3XSCAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T20:26:19.308115Z","bundle_sha256":"e32e6707cc85cc03f291fa222b875df69df9cdcd00fffaccde28bf083b3621e0"}}