{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VT3BMXKNBVRI2IGXMLXMXCT2YD","short_pith_number":"pith:VT3BMXKN","canonical_record":{"source":{"id":"2507.12438","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-16T17:27:01Z","cross_cats_sorted":[],"title_canon_sha256":"15e42effe0edf7d8f0924e4f3b28746776a3dd5871d98aad9d245f038edcdd25","abstract_canon_sha256":"b9a12ae613d6cbca68c0052711211ea21ecbd2b68427486c0cb6667abee8d59f"},"schema_version":"1.0"},"canonical_sha256":"acf6165d4d0d628d20d762eecb8a7ac0f63067646b85305f16da6e2173303ad4","source":{"kind":"arxiv","id":"2507.12438","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12438","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12438v1","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12438","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"VT3BMXKNBVRI","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"pith_short_16","alias_value":"VT3BMXKNBVRI2IGX","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"pith_short_8","alias_value":"VT3BMXKN","created_at":"2026-07-05T11:38:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VT3BMXKNBVRI2IGXMLXMXCT2YD","target":"record","payload":{"canonical_record":{"source":{"id":"2507.12438","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-16T17:27:01Z","cross_cats_sorted":[],"title_canon_sha256":"15e42effe0edf7d8f0924e4f3b28746776a3dd5871d98aad9d245f038edcdd25","abstract_canon_sha256":"b9a12ae613d6cbca68c0052711211ea21ecbd2b68427486c0cb6667abee8d59f"},"schema_version":"1.0"},"canonical_sha256":"acf6165d4d0d628d20d762eecb8a7ac0f63067646b85305f16da6e2173303ad4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:38:20.212651Z","signature_b64":"Do8xY1qPsIBTTv6UAyLLFhZI46cAPJ6GcjEkJlYMjkdfopb/sCC6gaDAIDth/690iOzUmTv441y+aLgDUettBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acf6165d4d0d628d20d762eecb8a7ac0f63067646b85305f16da6e2173303ad4","last_reissued_at":"2026-07-05T11:38:20.211910Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:38:20.211910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.12438","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":"2026-07-05T11:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZPy0YQ6GMtNq3lTJ+/G9mWT6GcmrO+bkCTYkl75JCZYz5eqGTJixOQAGpOLmVoqYhhjENZm6Rh0h3nU2O4egBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:08:10.819412Z"},"content_sha256":"68e1468eae1592408a4ff0080faa5e7d5a43b4ea1f37cc4373eba52f52e64456","schema_version":"1.0","event_id":"sha256:68e1468eae1592408a4ff0080faa5e7d5a43b4ea1f37cc4373eba52f52e64456"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VT3BMXKNBVRI2IGXMLXMXCT2YD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heisenberg limited multiple eigenvalue estimation via off-the-grid compressed sensing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Davide Castaldo, Stefano Corni","submitted_at":"2025-07-16T17:27:01Z","abstract_excerpt":"Quantum phase estimation is the flagship algorithm for quantum simulation on fault-tolerant quantum computers. We demonstrate that an \\emph{off-grid} compressed sensing protocol, combined with a state-of-the-art signal classification method, enables the simultaneous estimation of multiple eigenvalues of a unitary matrix using the Hadamard test while sampling only a few percent of the full autocorrelation function. Our numerical evidence indicates that the proposed algorithm achieves the Heisenberg limit in both strongly and weakly correlated regimes and requires very short evolution times to o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12438","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/2507.12438/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":"2026-07-05T11:38:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"63r8Fv2mipVeZY/QDBrA3wUIPMmRAuBPzQtsNfEsZ0MOIkOY2SWlWKpTKJWS6sn9EdxQm8pe0cnl6qQEfqb2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:08:10.820476Z"},"content_sha256":"6132640db8a1821983a00cb80ba0394dabc7a14cf2512a6c4c5ef91f7fbeab8e","schema_version":"1.0","event_id":"sha256:6132640db8a1821983a00cb80ba0394dabc7a14cf2512a6c4c5ef91f7fbeab8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD/bundle.json","state_url":"https://pith.science/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD/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":"2026-08-07T12:08:10Z","links":{"resolver":"https://pith.science/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD","bundle":"https://pith.science/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD/bundle.json","state":"https://pith.science/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VT3BMXKNBVRI2IGXMLXMXCT2YD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VT3BMXKNBVRI2IGXMLXMXCT2YD","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":"b9a12ae613d6cbca68c0052711211ea21ecbd2b68427486c0cb6667abee8d59f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-16T17:27:01Z","title_canon_sha256":"15e42effe0edf7d8f0924e4f3b28746776a3dd5871d98aad9d245f038edcdd25"},"schema_version":"1.0","source":{"id":"2507.12438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.12438","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"arxiv_version","alias_value":"2507.12438v1","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.12438","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"pith_short_12","alias_value":"VT3BMXKNBVRI","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"pith_short_16","alias_value":"VT3BMXKNBVRI2IGX","created_at":"2026-07-05T11:38:20Z"},{"alias_kind":"pith_short_8","alias_value":"VT3BMXKN","created_at":"2026-07-05T11:38:20Z"}],"graph_snapshots":[{"event_id":"sha256:6132640db8a1821983a00cb80ba0394dabc7a14cf2512a6c4c5ef91f7fbeab8e","target":"graph","created_at":"2026-07-05T11:38:20Z","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/2507.12438/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum phase estimation is the flagship algorithm for quantum simulation on fault-tolerant quantum computers. We demonstrate that an \\emph{off-grid} compressed sensing protocol, combined with a state-of-the-art signal classification method, enables the simultaneous estimation of multiple eigenvalues of a unitary matrix using the Hadamard test while sampling only a few percent of the full autocorrelation function. Our numerical evidence indicates that the proposed algorithm achieves the Heisenberg limit in both strongly and weakly correlated regimes and requires very short evolution times to o","authors_text":"Davide Castaldo, Stefano Corni","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-16T17:27:01Z","title":"Heisenberg limited multiple eigenvalue estimation via off-the-grid compressed sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.12438","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":"sha256:68e1468eae1592408a4ff0080faa5e7d5a43b4ea1f37cc4373eba52f52e64456","target":"record","created_at":"2026-07-05T11:38:20Z","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":"b9a12ae613d6cbca68c0052711211ea21ecbd2b68427486c0cb6667abee8d59f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-16T17:27:01Z","title_canon_sha256":"15e42effe0edf7d8f0924e4f3b28746776a3dd5871d98aad9d245f038edcdd25"},"schema_version":"1.0","source":{"id":"2507.12438","kind":"arxiv","version":1}},"canonical_sha256":"acf6165d4d0d628d20d762eecb8a7ac0f63067646b85305f16da6e2173303ad4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"acf6165d4d0d628d20d762eecb8a7ac0f63067646b85305f16da6e2173303ad4","first_computed_at":"2026-07-05T11:38:20.211910Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:38:20.211910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Do8xY1qPsIBTTv6UAyLLFhZI46cAPJ6GcjEkJlYMjkdfopb/sCC6gaDAIDth/690iOzUmTv441y+aLgDUettBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:38:20.212651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.12438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68e1468eae1592408a4ff0080faa5e7d5a43b4ea1f37cc4373eba52f52e64456","sha256:6132640db8a1821983a00cb80ba0394dabc7a14cf2512a6c4c5ef91f7fbeab8e"],"state_sha256":"a4bd494ef0269c3aba99b694c4945795a805e87be91f41829986f785352482b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7824M0VACINChkdmjkeu/ASgxIcgRwyBR3Jq42aQJgf/jYEo+jxUO7ZoGAKbDrAi0G+Jvumz09ayb9BwFpORDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:08:10.834701Z","bundle_sha256":"46ae559734cc7a52f93015567467870c53bf50010d42962d829d4a16122922a9"}}