{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:FVY6PFGGJ6BVORM32LHFVBKO62","short_pith_number":"pith:FVY6PFGG","canonical_record":{"source":{"id":"2111.10485","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-11-20T00:10:51Z","cross_cats_sorted":[],"title_canon_sha256":"381c043ba9565bddd2255fe2f1daf13932dd983075f13f148651036a78153151","abstract_canon_sha256":"35e1aa6fcdc5e77f7322853748dd3be6cd8123e734dacd7307d423596b3721a0"},"schema_version":"1.0"},"canonical_sha256":"2d71e794c64f8357459bd2ce5a854ef6bc5f26f85d08543bfa4d00a68488c0a4","source":{"kind":"arxiv","id":"2111.10485","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10485","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10485v3","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10485","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"FVY6PFGGJ6BV","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"pith_short_16","alias_value":"FVY6PFGGJ6BVORM3","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"pith_short_8","alias_value":"FVY6PFGG","created_at":"2026-07-05T04:54:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:FVY6PFGGJ6BVORM32LHFVBKO62","target":"record","payload":{"canonical_record":{"source":{"id":"2111.10485","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-11-20T00:10:51Z","cross_cats_sorted":[],"title_canon_sha256":"381c043ba9565bddd2255fe2f1daf13932dd983075f13f148651036a78153151","abstract_canon_sha256":"35e1aa6fcdc5e77f7322853748dd3be6cd8123e734dacd7307d423596b3721a0"},"schema_version":"1.0"},"canonical_sha256":"2d71e794c64f8357459bd2ce5a854ef6bc5f26f85d08543bfa4d00a68488c0a4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:54:16.858507Z","signature_b64":"/gJGMk5jNbU2oiUsXikIp7/BF41VkVzHKOGaMN9l1AuvozXNRQ/MN21NSpSKjWGRLC017WtJr8SYNhYjsxFcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d71e794c64f8357459bd2ce5a854ef6bc5f26f85d08543bfa4d00a68488c0a4","last_reissued_at":"2026-07-05T04:54:16.858076Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:54:16.858076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.10485","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":"2026-07-05T04:54:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZkI824mkhUWJeAWr0BbPx4GYgUXbnIvT3A7JOoLNI/x5zyxwgMcEi8XGEZ8dGs4l5X3Q++ZhfXRPVCITCqrrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:41:20.898875Z"},"content_sha256":"f0345958473d191d842e15c4be7cb78d02f0f89a3ede6147f8d2d15f4f0db463","schema_version":"1.0","event_id":"sha256:f0345958473d191d842e15c4be7cb78d02f0f89a3ede6147f8d2d15f4f0db463"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:FVY6PFGGJ6BVORM32LHFVBKO62","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tight Bound for Estimating Expectation Values from a System of Linear Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Abhijeet Alase, Barry C. Sanders, Mohsen Bagherimehrab, Peter H{\\o}yer, Robert R. Nerem","submitted_at":"2021-11-20T00:10:51Z","abstract_excerpt":"The System of Linear Equations Problem (SLEP) is specified by a complex invertible matrix $A$, the condition number $\\kappa$ of $A$, a vector $b$, a Hermitian matrix $M$ and an accuracy $\\epsilon$, and the task is to estimate $x^\\dagger Mx$, where $x$ is the solution vector to the equation $Ax = b$. We aim to establish a lower bound on the complexity of the end-to-end quantum algorithms for SLEP with respect to $\\epsilon$, and devise a quantum algorithm that saturates this bound. To make lower bounds attainable, we consider query complexity in the setting in which a block encoding of $M$ is gi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10485","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/2111.10485/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":"2026-07-05T04:54:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vH3XlK6JJ4SZltTiP3y5yShdEMZQ+e6MI648PX8AR8jPbvJ65Ydi25L5yRmmLP0eaqA7BzP4RzOGw8PlGEYxAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T20:41:20.899734Z"},"content_sha256":"2677ebefe05f31787f09c613359bfb104a656801bf8a5b115e4001ba1a2c5631","schema_version":"1.0","event_id":"sha256:2677ebefe05f31787f09c613359bfb104a656801bf8a5b115e4001ba1a2c5631"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVY6PFGGJ6BVORM32LHFVBKO62/bundle.json","state_url":"https://pith.science/pith/FVY6PFGGJ6BVORM32LHFVBKO62/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVY6PFGGJ6BVORM32LHFVBKO62/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":"2026-08-13T20:41:20Z","links":{"resolver":"https://pith.science/pith/FVY6PFGGJ6BVORM32LHFVBKO62","bundle":"https://pith.science/pith/FVY6PFGGJ6BVORM32LHFVBKO62/bundle.json","state":"https://pith.science/pith/FVY6PFGGJ6BVORM32LHFVBKO62/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVY6PFGGJ6BVORM32LHFVBKO62/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FVY6PFGGJ6BVORM32LHFVBKO62","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":"35e1aa6fcdc5e77f7322853748dd3be6cd8123e734dacd7307d423596b3721a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-11-20T00:10:51Z","title_canon_sha256":"381c043ba9565bddd2255fe2f1daf13932dd983075f13f148651036a78153151"},"schema_version":"1.0","source":{"id":"2111.10485","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.10485","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"2111.10485v3","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.10485","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"FVY6PFGGJ6BV","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"pith_short_16","alias_value":"FVY6PFGGJ6BVORM3","created_at":"2026-07-05T04:54:16Z"},{"alias_kind":"pith_short_8","alias_value":"FVY6PFGG","created_at":"2026-07-05T04:54:16Z"}],"graph_snapshots":[{"event_id":"sha256:2677ebefe05f31787f09c613359bfb104a656801bf8a5b115e4001ba1a2c5631","target":"graph","created_at":"2026-07-05T04:54:16Z","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/2111.10485/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The System of Linear Equations Problem (SLEP) is specified by a complex invertible matrix $A$, the condition number $\\kappa$ of $A$, a vector $b$, a Hermitian matrix $M$ and an accuracy $\\epsilon$, and the task is to estimate $x^\\dagger Mx$, where $x$ is the solution vector to the equation $Ax = b$. We aim to establish a lower bound on the complexity of the end-to-end quantum algorithms for SLEP with respect to $\\epsilon$, and devise a quantum algorithm that saturates this bound. To make lower bounds attainable, we consider query complexity in the setting in which a block encoding of $M$ is gi","authors_text":"Abhijeet Alase, Barry C. Sanders, Mohsen Bagherimehrab, Peter H{\\o}yer, Robert R. Nerem","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-11-20T00:10:51Z","title":"Tight Bound for Estimating Expectation Values from a System of Linear Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.10485","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:f0345958473d191d842e15c4be7cb78d02f0f89a3ede6147f8d2d15f4f0db463","target":"record","created_at":"2026-07-05T04:54:16Z","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":"35e1aa6fcdc5e77f7322853748dd3be6cd8123e734dacd7307d423596b3721a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2021-11-20T00:10:51Z","title_canon_sha256":"381c043ba9565bddd2255fe2f1daf13932dd983075f13f148651036a78153151"},"schema_version":"1.0","source":{"id":"2111.10485","kind":"arxiv","version":3}},"canonical_sha256":"2d71e794c64f8357459bd2ce5a854ef6bc5f26f85d08543bfa4d00a68488c0a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d71e794c64f8357459bd2ce5a854ef6bc5f26f85d08543bfa4d00a68488c0a4","first_computed_at":"2026-07-05T04:54:16.858076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:54:16.858076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/gJGMk5jNbU2oiUsXikIp7/BF41VkVzHKOGaMN9l1AuvozXNRQ/MN21NSpSKjWGRLC017WtJr8SYNhYjsxFcDw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:54:16.858507Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.10485","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0345958473d191d842e15c4be7cb78d02f0f89a3ede6147f8d2d15f4f0db463","sha256:2677ebefe05f31787f09c613359bfb104a656801bf8a5b115e4001ba1a2c5631"],"state_sha256":"15afc3264cc43bf24807724b9c9a770711afbd0493127e569e08bbbcbb9082e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YhT7a/cUdjFE1IuZB0Y4hrNKc3mYBBnbnOg5mqr3RKilERckO5vifIV0v0SsR9CJ/8YrajxFChWJc8aawDQDDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T20:41:20.913072Z","bundle_sha256":"3f5b8813ff70b44ebc9db572c89c256a3e190ba55e01fd64ba7f6bffaaabcc7b"}}