{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:GP6XJ27UZVM7BJFWOAJLSCX3OI","short_pith_number":"pith:GP6XJ27U","schema_version":"1.0","canonical_sha256":"33fd74ebf4cd59f0a4b67012b90afb722c232fe3a75ccc3dbe3f4a504aa0d405","source":{"kind":"arxiv","id":"2405.05958","version":3},"attestation_state":"computed","paper":{"title":"Stability of slow Hamiltonian dynamics from Lieb-Robinson bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Daniele Toniolo, Sougato Bose","submitted_at":"2024-05-09T17:53:41Z","abstract_excerpt":"We rigorously show that a local spin system giving rise to a slow Hamiltonian dynamics is stable against generic, even time-dependent, local perturbations. The sum of these perturbations can cover a significant amount of the system's size. The stability of the slow dynamics follows from proving that the Lieb-Robinson bound for the dynamics of the total Hamiltonian is the sum of two contributions: the Lieb-Robinson bound of the unperturbed dynamics and an additional term coming from the Lieb-Robinson bound of the perturbations with respect to the unperturbed Hamiltonian. Our results are particu"},"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":"2405.05958","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-05-09T17:53:41Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"e741b9a58a9c272c8e5514d730f0541ce2a51cfe971122663fd893d783559425","abstract_canon_sha256":"22e7137e81dbe733bff54515293ce886dd30e5bbaba7abe076bfb40c0232f792"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:33:31.586270Z","signature_b64":"ZHLV7Aa/be4yAgVQFAnYnr4yW0hpE2p9p2CF/gTuP6pbecnnh1AQ3vCgmcXMafw97PQdIuXeRL3E9xKtaWywBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33fd74ebf4cd59f0a4b67012b90afb722c232fe3a75ccc3dbe3f4a504aa0d405","last_reissued_at":"2026-07-05T09:33:31.585754Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:33:31.585754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability of slow Hamiltonian dynamics from Lieb-Robinson bounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Daniele Toniolo, Sougato Bose","submitted_at":"2024-05-09T17:53:41Z","abstract_excerpt":"We rigorously show that a local spin system giving rise to a slow Hamiltonian dynamics is stable against generic, even time-dependent, local perturbations. The sum of these perturbations can cover a significant amount of the system's size. The stability of the slow dynamics follows from proving that the Lieb-Robinson bound for the dynamics of the total Hamiltonian is the sum of two contributions: the Lieb-Robinson bound of the unperturbed dynamics and an additional term coming from the Lieb-Robinson bound of the perturbations with respect to the unperturbed Hamiltonian. Our results are particu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.05958","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/2405.05958/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":"2405.05958","created_at":"2026-07-05T09:33:31.585807+00:00"},{"alias_kind":"arxiv_version","alias_value":"2405.05958v3","created_at":"2026-07-05T09:33:31.585807+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.05958","created_at":"2026-07-05T09:33:31.585807+00:00"},{"alias_kind":"pith_short_12","alias_value":"GP6XJ27UZVM7","created_at":"2026-07-05T09:33:31.585807+00:00"},{"alias_kind":"pith_short_16","alias_value":"GP6XJ27UZVM7BJFW","created_at":"2026-07-05T09:33:31.585807+00:00"},{"alias_kind":"pith_short_8","alias_value":"GP6XJ27U","created_at":"2026-07-05T09:33:31.585807+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2406.08433","citing_title":"Dynamical control in a prethermalized molecular ultracold plasma: Local dissipation drives global relaxation","ref_index":136,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI","json":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI.json","graph_json":"https://pith.science/api/pith-number/GP6XJ27UZVM7BJFWOAJLSCX3OI/graph.json","events_json":"https://pith.science/api/pith-number/GP6XJ27UZVM7BJFWOAJLSCX3OI/events.json","paper":"https://pith.science/paper/GP6XJ27U"},"agent_actions":{"view_html":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI","download_json":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI.json","view_paper":"https://pith.science/paper/GP6XJ27U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2405.05958&json=true","fetch_graph":"https://pith.science/api/pith-number/GP6XJ27UZVM7BJFWOAJLSCX3OI/graph.json","fetch_events":"https://pith.science/api/pith-number/GP6XJ27UZVM7BJFWOAJLSCX3OI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI/action/storage_attestation","attest_author":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI/action/author_attestation","sign_citation":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI/action/citation_signature","submit_replication":"https://pith.science/pith/GP6XJ27UZVM7BJFWOAJLSCX3OI/action/replication_record"}},"created_at":"2026-07-05T09:33:31.585807+00:00","updated_at":"2026-07-05T09:33:31.585807+00:00"}