{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ATQAAL4V5VTCA2RVVI4XHUDYTZ","short_pith_number":"pith:ATQAAL4V","canonical_record":{"source":{"id":"2605.23734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-22T15:11:17Z","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"title_canon_sha256":"232da547663ef1e58e1ff424186b5c71447d862062332b7e6743840fe282d265","abstract_canon_sha256":"c7d872f1993e4a17999d9b17fe9c16ce494dbebaaff4e00379a3491089c4a994"},"schema_version":"1.0"},"canonical_sha256":"04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc","source":{"kind":"arxiv","id":"2605.23734","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23734","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23734v1","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23734","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"pith_short_12","alias_value":"ATQAAL4V5VTC","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"pith_short_16","alias_value":"ATQAAL4V5VTCA2RV","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"pith_short_8","alias_value":"ATQAAL4V","created_at":"2026-05-25T02:02:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ATQAAL4V5VTCA2RVVI4XHUDYTZ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.23734","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-22T15:11:17Z","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"title_canon_sha256":"232da547663ef1e58e1ff424186b5c71447d862062332b7e6743840fe282d265","abstract_canon_sha256":"c7d872f1993e4a17999d9b17fe9c16ce494dbebaaff4e00379a3491089c4a994"},"schema_version":"1.0"},"canonical_sha256":"04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:02:29.166160Z","signature_b64":"qpmDPL1P2FKA/ovR1cd4D4ogh26uIiHooz+N6rDnLUuLx7F2fTburb9Fev8ee2ns4eCAs+Ql4X5qyouGpjz8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc","last_reissued_at":"2026-05-25T02:02:29.165429Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:02:29.165429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.23734","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":"2026-05-25T02:02:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8LWRU7lQl550kunWhm7WFz24+G3ppb9jCLVKGYrY7iPzZa+B9NfS7Qt4bzSVnEkmS1Hn5Kbt5qd7sxT/oet5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:34:29.671217Z"},"content_sha256":"b972347cc2131d1d642bec107e8536802f95180f954b083875c29cc39dae4129","schema_version":"1.0","event_id":"sha256:b972347cc2131d1d642bec107e8536802f95180f954b083875c29cc39dae4129"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ATQAAL4V5VTCA2RVVI4XHUDYTZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Floquet-Magnus expansion of unbounded operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Daniel Burgarth, Davide Lonigro, Leonhard Richter, Robin Hillier","submitted_at":"2026-05-22T15:11:17Z","abstract_excerpt":"The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its standard formulation is, strictly speaking, restricted to bounded Hamiltonians. In this work, we extend its definition and analysis to a broad class of time-periodic unbounded Hamiltonians. Our approach is based on an a priori distinct nonperturbative framework for the construction of effective Hamiltonians, which we show to reproduce the Floquet-Magnus expansion. A particular strength of our frame"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23734","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/2605.23734/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":"2026-05-25T02:02:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kFs2lIqLetkhF6LrTT6nCSv3CII9eIg6iELXVxYB/rrOUzEJe7a323SIcfKKgPhONhqLc3WbmrymzZqXj/F9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T01:34:29.672006Z"},"content_sha256":"5c4fb2057e5c2aec74357f45b42f4d4f2a0afc5d08432f7a6246030f3dc251a5","schema_version":"1.0","event_id":"sha256:5c4fb2057e5c2aec74357f45b42f4d4f2a0afc5d08432f7a6246030f3dc251a5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ/bundle.json","state_url":"https://pith.science/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ/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":"2026-06-08T01:34:29Z","links":{"resolver":"https://pith.science/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ","bundle":"https://pith.science/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ/bundle.json","state":"https://pith.science/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATQAAL4V5VTCA2RVVI4XHUDYTZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ATQAAL4V5VTCA2RVVI4XHUDYTZ","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":"c7d872f1993e4a17999d9b17fe9c16ce494dbebaaff4e00379a3491089c4a994","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-22T15:11:17Z","title_canon_sha256":"232da547663ef1e58e1ff424186b5c71447d862062332b7e6743840fe282d265"},"schema_version":"1.0","source":{"id":"2605.23734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.23734","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"arxiv_version","alias_value":"2605.23734v1","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.23734","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"pith_short_12","alias_value":"ATQAAL4V5VTC","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"pith_short_16","alias_value":"ATQAAL4V5VTCA2RV","created_at":"2026-05-25T02:02:29Z"},{"alias_kind":"pith_short_8","alias_value":"ATQAAL4V","created_at":"2026-05-25T02:02:29Z"}],"graph_snapshots":[{"event_id":"sha256:5c4fb2057e5c2aec74357f45b42f4d4f2a0afc5d08432f7a6246030f3dc251a5","target":"graph","created_at":"2026-05-25T02:02:29Z","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/2605.23734/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Floquet-Magnus expansion is a widely used tool to derive effective descriptions of time-periodic quantum systems by approximating their dynamics with a time-independent Hamiltonian. However, its standard formulation is, strictly speaking, restricted to bounded Hamiltonians. In this work, we extend its definition and analysis to a broad class of time-periodic unbounded Hamiltonians. Our approach is based on an a priori distinct nonperturbative framework for the construction of effective Hamiltonians, which we show to reproduce the Floquet-Magnus expansion. A particular strength of our frame","authors_text":"Daniel Burgarth, Davide Lonigro, Leonhard Richter, Robin Hillier","cross_cats":["math.FA","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-22T15:11:17Z","title":"The Floquet-Magnus expansion of unbounded operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.23734","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:b972347cc2131d1d642bec107e8536802f95180f954b083875c29cc39dae4129","target":"record","created_at":"2026-05-25T02:02:29Z","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":"c7d872f1993e4a17999d9b17fe9c16ce494dbebaaff4e00379a3491089c4a994","cross_cats_sorted":["math.FA","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-22T15:11:17Z","title_canon_sha256":"232da547663ef1e58e1ff424186b5c71447d862062332b7e6743840fe282d265"},"schema_version":"1.0","source":{"id":"2605.23734","kind":"arxiv","version":1}},"canonical_sha256":"04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc","first_computed_at":"2026-05-25T02:02:29.165429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:02:29.165429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qpmDPL1P2FKA/ovR1cd4D4ogh26uIiHooz+N6rDnLUuLx7F2fTburb9Fev8ee2ns4eCAs+Ql4X5qyouGpjz8AA==","signature_status":"signed_v1","signed_at":"2026-05-25T02:02:29.166160Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.23734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b972347cc2131d1d642bec107e8536802f95180f954b083875c29cc39dae4129","sha256:5c4fb2057e5c2aec74357f45b42f4d4f2a0afc5d08432f7a6246030f3dc251a5"],"state_sha256":"d6c3468f9e29317f96b33c4811440233c14808fdc303f4762cd21bf106d89625"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pqc7JQ0CGGdehawhLU7vYcbJF6fmHmC0EnL6fQh67PER0TSqYSzFt5IFlF0WKmuF/3TLNn1dxmDdLPz0B3j7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T01:34:29.676892Z","bundle_sha256":"13b5bb7c8ae4f862bc9956660961f9f8dfc53447f8ba5d13bffe31a6245e7886"}}