{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YUS6V62JKP3GZ3EASEI3QF6AHG","short_pith_number":"pith:YUS6V62J","canonical_record":{"source":{"id":"2606.21392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T12:55:06Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"e1738883434af866259a0c9b32bc58738400f666c0c8644adafbf9cedbf1fda8","abstract_canon_sha256":"6259dd0fdaa4127a908db689e8528bdfbac26dfe4b405ab846198107554bbb9d"},"schema_version":"1.0"},"canonical_sha256":"c525eafb4953f66cec809111b817c0398c2af0e74a108b77ca3fc8540b00ecf9","source":{"kind":"arxiv","id":"2606.21392","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21392","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21392v1","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21392","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"pith_short_12","alias_value":"YUS6V62JKP3G","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"pith_short_16","alias_value":"YUS6V62JKP3GZ3EA","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"pith_short_8","alias_value":"YUS6V62J","created_at":"2026-06-23T01:13:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YUS6V62JKP3GZ3EASEI3QF6AHG","target":"record","payload":{"canonical_record":{"source":{"id":"2606.21392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T12:55:06Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"e1738883434af866259a0c9b32bc58738400f666c0c8644adafbf9cedbf1fda8","abstract_canon_sha256":"6259dd0fdaa4127a908db689e8528bdfbac26dfe4b405ab846198107554bbb9d"},"schema_version":"1.0"},"canonical_sha256":"c525eafb4953f66cec809111b817c0398c2af0e74a108b77ca3fc8540b00ecf9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:13:08.804359Z","signature_b64":"+ydEGGd+R6/EpbGhtxoStU2VkLpASl3CiETTMGr81tOhsLw2RK8nBJXV+JEvFryVqB5qFkhdirh4ICGcpSq8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c525eafb4953f66cec809111b817c0398c2af0e74a108b77ca3fc8540b00ecf9","last_reissued_at":"2026-06-23T01:13:08.803831Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:13:08.803831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.21392","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":"2026-06-23T01:13:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C12DLierkGeKxZ0MTeIHw7k2J5ULOHjQRfMMnUG5Dm37rbxVLocyDO/bNVUVG/YKB5dqA4HSSyaOoWueRlokAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:45:13.112447Z"},"content_sha256":"06b691310f87c8ff5de13e1abab9095904f5964a56f2bd297dffaa905ff7695d","schema_version":"1.0","event_id":"sha256:06b691310f87c8ff5de13e1abab9095904f5964a56f2bd297dffaa905ff7695d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YUS6V62JKP3GZ3EASEI3QF6AHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"QVaR: a Quantum Variational Regularization method for Linear Inverse Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Andreas Hauptmann, Babak Maboudi Afkham, Hj{\\o}rdis Schl\\\"uter, Siiri Rautio","submitted_at":"2026-06-19T12:55:06Z","abstract_excerpt":"We present a tailored framework for solving regularized linear inverse problems using quantum optimization methods. By discretizing the solution space and encoding data fidelity and regularization terms into quadratic unconstrained binary optimization (QUBO) models, we formulate both Tikhonov- and sparsity-promoting regularized inverse problems within a unified quantum optimization framework. We further introduce a notion of quantum sensitivity that characterizes the effect of perturbations arising from approximate quantum evolution and discretization. We derive bounds relating these perturbat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21392","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/2606.21392/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":"2026-06-23T01:13:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pISWCgKNxkYG8zmzYI9r01d67B0pAbmqoYyfJztNFjXMLkYmr1fc2t8Qi5FHFmc1/Wmo+oEf//BKlcqK0qTdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:45:13.113709Z"},"content_sha256":"a8a33281b9cb390769ec848565b0d2b68ac58b1acb50e2c0b888f4ec1e953212","schema_version":"1.0","event_id":"sha256:a8a33281b9cb390769ec848565b0d2b68ac58b1acb50e2c0b888f4ec1e953212"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YUS6V62JKP3GZ3EASEI3QF6AHG/bundle.json","state_url":"https://pith.science/pith/YUS6V62JKP3GZ3EASEI3QF6AHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YUS6V62JKP3GZ3EASEI3QF6AHG/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":"2026-08-22T06:45:13Z","links":{"resolver":"https://pith.science/pith/YUS6V62JKP3GZ3EASEI3QF6AHG","bundle":"https://pith.science/pith/YUS6V62JKP3GZ3EASEI3QF6AHG/bundle.json","state":"https://pith.science/pith/YUS6V62JKP3GZ3EASEI3QF6AHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YUS6V62JKP3GZ3EASEI3QF6AHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YUS6V62JKP3GZ3EASEI3QF6AHG","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":"6259dd0fdaa4127a908db689e8528bdfbac26dfe4b405ab846198107554bbb9d","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T12:55:06Z","title_canon_sha256":"e1738883434af866259a0c9b32bc58738400f666c0c8644adafbf9cedbf1fda8"},"schema_version":"1.0","source":{"id":"2606.21392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.21392","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.21392v1","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.21392","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"pith_short_12","alias_value":"YUS6V62JKP3G","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"pith_short_16","alias_value":"YUS6V62JKP3GZ3EA","created_at":"2026-06-23T01:13:08Z"},{"alias_kind":"pith_short_8","alias_value":"YUS6V62J","created_at":"2026-06-23T01:13:08Z"}],"graph_snapshots":[{"event_id":"sha256:a8a33281b9cb390769ec848565b0d2b68ac58b1acb50e2c0b888f4ec1e953212","target":"graph","created_at":"2026-06-23T01:13:08Z","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/2606.21392/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a tailored framework for solving regularized linear inverse problems using quantum optimization methods. By discretizing the solution space and encoding data fidelity and regularization terms into quadratic unconstrained binary optimization (QUBO) models, we formulate both Tikhonov- and sparsity-promoting regularized inverse problems within a unified quantum optimization framework. We further introduce a notion of quantum sensitivity that characterizes the effect of perturbations arising from approximate quantum evolution and discretization. We derive bounds relating these perturbat","authors_text":"Andreas Hauptmann, Babak Maboudi Afkham, Hj{\\o}rdis Schl\\\"uter, Siiri Rautio","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T12:55:06Z","title":"QVaR: a Quantum Variational Regularization method for Linear Inverse Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.21392","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":"sha256:06b691310f87c8ff5de13e1abab9095904f5964a56f2bd297dffaa905ff7695d","target":"record","created_at":"2026-06-23T01:13:08Z","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":"6259dd0fdaa4127a908db689e8528bdfbac26dfe4b405ab846198107554bbb9d","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-19T12:55:06Z","title_canon_sha256":"e1738883434af866259a0c9b32bc58738400f666c0c8644adafbf9cedbf1fda8"},"schema_version":"1.0","source":{"id":"2606.21392","kind":"arxiv","version":1}},"canonical_sha256":"c525eafb4953f66cec809111b817c0398c2af0e74a108b77ca3fc8540b00ecf9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c525eafb4953f66cec809111b817c0398c2af0e74a108b77ca3fc8540b00ecf9","first_computed_at":"2026-06-23T01:13:08.803831Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:13:08.803831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+ydEGGd+R6/EpbGhtxoStU2VkLpASl3CiETTMGr81tOhsLw2RK8nBJXV+JEvFryVqB5qFkhdirh4ICGcpSq8AA==","signature_status":"signed_v1","signed_at":"2026-06-23T01:13:08.804359Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.21392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06b691310f87c8ff5de13e1abab9095904f5964a56f2bd297dffaa905ff7695d","sha256:a8a33281b9cb390769ec848565b0d2b68ac58b1acb50e2c0b888f4ec1e953212"],"state_sha256":"0ebd8c89ecfe94f6c1a7f15769f7b36ed7a32d7e20a21655c1add0b29b7d5bc4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7D3+aB+NjDRmaRZkAGW74GYr79k6dlY04f0eEzsuvazQiO8+KStPkjaX/FpDymAM9wfJiM3rlKL/+dDHJObDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T06:45:13.120677Z","bundle_sha256":"afacce1d74ba32dd86be80872c21d6300ada269d94b118da6306c153d6e274f6"}}