{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:NFAPFRAP3MXGYCMHU27I44NXU2","short_pith_number":"pith:NFAPFRAP","schema_version":"1.0","canonical_sha256":"6940f2c40fdb2e6c0987a6be8e71b7a6bc7bf47f6f348cb7a03e7d2f82f9b2c0","source":{"kind":"arxiv","id":"2606.23652","version":1},"attestation_state":"computed","paper":{"title":"Robust Structure Learning of $k$-local Lindbladians","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","cs.NA","math.IT","math.NA","math.ST","stat.TH"],"primary_cat":"quant-ph","authors_text":"Cambyse Rouz\\'e, Daniel Stilck Fran\\c{c}a, Thiago Bergamaschi, Tim M\\\"obus","submitted_at":"2026-06-22T17:38:41Z","abstract_excerpt":"We present an efficient protocol for learning an unknown $k$-local Lindblad generator on $n$ qubits using only product-state preparations, short-time evolution, and single-qubit Pauli measurements, without prior knowledge of the interaction structure. For fixed $k$ and bounded weighted interaction strength, the protocol estimates all Hamiltonian and dissipative Pauli--GKSL coefficients to entrywise accuracy $\\varepsilon$ with probability at least $1-\\delta$ using $\\widetilde{\\mathcal O}_k(\\varepsilon^{-2}n^{2k}\\log(1/\\delta))$ samples and polylogarithmically many evolution times. A semidefinit"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.23652","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-22T17:38:41Z","cross_cats_sorted":["cs.IT","cs.NA","math.IT","math.NA","math.ST","stat.TH"],"title_canon_sha256":"a6697c6fc57fdd47855e553f30b78586b40548863e902e78aeb0495cbcbaec5c","abstract_canon_sha256":"8d987601186955da58f52c09ff686a68166df1c72d7469284a05dad4feffcf72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:14:33.716608Z","signature_b64":"OtPKm8CP2pz7PyjLLjTfX8qIR0Rqnle0X4HF4k9RUKUg06KzT/ZACx3BUyJop9NhwsqaS5gJv0C/8ymJsKMiBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6940f2c40fdb2e6c0987a6be8e71b7a6bc7bf47f6f348cb7a03e7d2f82f9b2c0","last_reissued_at":"2026-06-23T03:14:33.716080Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:14:33.716080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust Structure Learning of $k$-local Lindbladians","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.IT","cs.NA","math.IT","math.NA","math.ST","stat.TH"],"primary_cat":"quant-ph","authors_text":"Cambyse Rouz\\'e, Daniel Stilck Fran\\c{c}a, Thiago Bergamaschi, Tim M\\\"obus","submitted_at":"2026-06-22T17:38:41Z","abstract_excerpt":"We present an efficient protocol for learning an unknown $k$-local Lindblad generator on $n$ qubits using only product-state preparations, short-time evolution, and single-qubit Pauli measurements, without prior knowledge of the interaction structure. For fixed $k$ and bounded weighted interaction strength, the protocol estimates all Hamiltonian and dissipative Pauli--GKSL coefficients to entrywise accuracy $\\varepsilon$ with probability at least $1-\\delta$ using $\\widetilde{\\mathcal O}_k(\\varepsilon^{-2}n^{2k}\\log(1/\\delta))$ samples and polylogarithmically many evolution times. A semidefinit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.23652","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/2606.23652/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.23652","created_at":"2026-06-23T03:14:33.716144+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.23652v1","created_at":"2026-06-23T03:14:33.716144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.23652","created_at":"2026-06-23T03:14:33.716144+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFAPFRAP3MXG","created_at":"2026-06-23T03:14:33.716144+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFAPFRAP3MXGYCMH","created_at":"2026-06-23T03:14:33.716144+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFAPFRAP","created_at":"2026-06-23T03:14:33.716144+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2","json":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2.json","graph_json":"https://pith.science/api/pith-number/NFAPFRAP3MXGYCMHU27I44NXU2/graph.json","events_json":"https://pith.science/api/pith-number/NFAPFRAP3MXGYCMHU27I44NXU2/events.json","paper":"https://pith.science/paper/NFAPFRAP"},"agent_actions":{"view_html":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2","download_json":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2.json","view_paper":"https://pith.science/paper/NFAPFRAP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.23652&json=true","fetch_graph":"https://pith.science/api/pith-number/NFAPFRAP3MXGYCMHU27I44NXU2/graph.json","fetch_events":"https://pith.science/api/pith-number/NFAPFRAP3MXGYCMHU27I44NXU2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2/action/storage_attestation","attest_author":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2/action/author_attestation","sign_citation":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2/action/citation_signature","submit_replication":"https://pith.science/pith/NFAPFRAP3MXGYCMHU27I44NXU2/action/replication_record"}},"created_at":"2026-06-23T03:14:33.716144+00:00","updated_at":"2026-06-23T03:14:33.716144+00:00"}