{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5FKR4MUDWFUYYZGPIIGJK5J7BX","short_pith_number":"pith:5FKR4MUD","canonical_record":{"source":{"id":"2502.04033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-02-06T12:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"9c439ea9d1b31c4c7d0223050d4662ddae67a2dbaeeb25cd5febbdd760e0821a","abstract_canon_sha256":"66092f663cf0ef7cb1986312611838483097925494649809231307b661a26a0a"},"schema_version":"1.0"},"canonical_sha256":"e9551e3283b1698c64cf420c95753f0de53399b85bb0b8740381f572620ee108","source":{"kind":"arxiv","id":"2502.04033","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04033","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04033v1","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04033","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"5FKR4MUDWFUY","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"pith_short_16","alias_value":"5FKR4MUDWFUYYZGP","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"pith_short_8","alias_value":"5FKR4MUD","created_at":"2026-05-22T01:03:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5FKR4MUDWFUYYZGPIIGJK5J7BX","target":"record","payload":{"canonical_record":{"source":{"id":"2502.04033","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-02-06T12:51:52Z","cross_cats_sorted":[],"title_canon_sha256":"9c439ea9d1b31c4c7d0223050d4662ddae67a2dbaeeb25cd5febbdd760e0821a","abstract_canon_sha256":"66092f663cf0ef7cb1986312611838483097925494649809231307b661a26a0a"},"schema_version":"1.0"},"canonical_sha256":"e9551e3283b1698c64cf420c95753f0de53399b85bb0b8740381f572620ee108","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:03:41.329329Z","signature_b64":"zQapXVi+wdQDTsHVQY+uO6pvktxPooQAcanzKeMy9OPnwpNHtLvpab0+ipyT1NzFlkk3WksFRAKJIaPYYkUQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9551e3283b1698c64cf420c95753f0de53399b85bb0b8740381f572620ee108","last_reissued_at":"2026-05-22T01:03:41.328545Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:03:41.328545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.04033","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":"2026-05-22T01:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v39U/4fMVRu3hdtoQHpUcxakvalBEqbd66INmiRtbs+YZ02kthZQJsbEohP+Z1/UvF2sP6zCvERBCy+n2Yd8AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T13:27:28.035190Z"},"content_sha256":"dc950fe666e96f93db3d351d7f31fc86c084eb25a9bde417e0ec5735d3791490","schema_version":"1.0","event_id":"sha256:dc950fe666e96f93db3d351d7f31fc86c084eb25a9bde417e0ec5735d3791490"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5FKR4MUDWFUYYZGPIIGJK5J7BX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden facts in Landau-Zener transitions revealed by the Riccati Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Eric P. Glasbrenner, S\\'andor Varr\\'o, Wolfgang P. Schleich, Yannik Gerdes","submitted_at":"2025-02-06T12:51:52Z","abstract_excerpt":"We express the dynamics of the two probability amplitudes in the elementary Landau-Zener problem in terms of the solution of the corresponding Riccati differential equation and identify three key features: (i) The solution of the Riccati equation provides the bridge between the two probability amplitudes. (ii) Neglecting the non-linearity in the Riccati equation is equivalent to the Markov approximation which yields the exact asymptotic expression for one of the probability amplitudes, and (iii) the Riccati equation identifies the origin of the failure of the Markov approximation not being abl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04033","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/2502.04033/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":"2026-05-22T01:03:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PA+EZJYdvpEUjnVX8C9bATVOdGodDoxeDF8/gYuIqMKvFz0HPgdOufi+RPJG52/1w/zAa7ZEkycoQ0c9fRx9Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T13:27:28.036034Z"},"content_sha256":"2aa1a1397d0af8a14b961cac9c83fa3ac0cd5bae2ff56f61669bf76bc0f828ff","schema_version":"1.0","event_id":"sha256:2aa1a1397d0af8a14b961cac9c83fa3ac0cd5bae2ff56f61669bf76bc0f828ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX/bundle.json","state_url":"https://pith.science/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX/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":"2026-05-23T13:27:28Z","links":{"resolver":"https://pith.science/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX","bundle":"https://pith.science/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX/bundle.json","state":"https://pith.science/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FKR4MUDWFUYYZGPIIGJK5J7BX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5FKR4MUDWFUYYZGPIIGJK5J7BX","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":"66092f663cf0ef7cb1986312611838483097925494649809231307b661a26a0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-02-06T12:51:52Z","title_canon_sha256":"9c439ea9d1b31c4c7d0223050d4662ddae67a2dbaeeb25cd5febbdd760e0821a"},"schema_version":"1.0","source":{"id":"2502.04033","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.04033","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"arxiv_version","alias_value":"2502.04033v1","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.04033","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"pith_short_12","alias_value":"5FKR4MUDWFUY","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"pith_short_16","alias_value":"5FKR4MUDWFUYYZGP","created_at":"2026-05-22T01:03:41Z"},{"alias_kind":"pith_short_8","alias_value":"5FKR4MUD","created_at":"2026-05-22T01:03:41Z"}],"graph_snapshots":[{"event_id":"sha256:2aa1a1397d0af8a14b961cac9c83fa3ac0cd5bae2ff56f61669bf76bc0f828ff","target":"graph","created_at":"2026-05-22T01:03:41Z","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/2502.04033/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We express the dynamics of the two probability amplitudes in the elementary Landau-Zener problem in terms of the solution of the corresponding Riccati differential equation and identify three key features: (i) The solution of the Riccati equation provides the bridge between the two probability amplitudes. (ii) Neglecting the non-linearity in the Riccati equation is equivalent to the Markov approximation which yields the exact asymptotic expression for one of the probability amplitudes, and (iii) the Riccati equation identifies the origin of the failure of the Markov approximation not being abl","authors_text":"Eric P. Glasbrenner, S\\'andor Varr\\'o, Wolfgang P. Schleich, Yannik Gerdes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-02-06T12:51:52Z","title":"Hidden facts in Landau-Zener transitions revealed by the Riccati Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.04033","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:dc950fe666e96f93db3d351d7f31fc86c084eb25a9bde417e0ec5735d3791490","target":"record","created_at":"2026-05-22T01:03:41Z","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":"66092f663cf0ef7cb1986312611838483097925494649809231307b661a26a0a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-02-06T12:51:52Z","title_canon_sha256":"9c439ea9d1b31c4c7d0223050d4662ddae67a2dbaeeb25cd5febbdd760e0821a"},"schema_version":"1.0","source":{"id":"2502.04033","kind":"arxiv","version":1}},"canonical_sha256":"e9551e3283b1698c64cf420c95753f0de53399b85bb0b8740381f572620ee108","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e9551e3283b1698c64cf420c95753f0de53399b85bb0b8740381f572620ee108","first_computed_at":"2026-05-22T01:03:41.328545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:03:41.328545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zQapXVi+wdQDTsHVQY+uO6pvktxPooQAcanzKeMy9OPnwpNHtLvpab0+ipyT1NzFlkk3WksFRAKJIaPYYkUQDQ==","signature_status":"signed_v1","signed_at":"2026-05-22T01:03:41.329329Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.04033","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc950fe666e96f93db3d351d7f31fc86c084eb25a9bde417e0ec5735d3791490","sha256:2aa1a1397d0af8a14b961cac9c83fa3ac0cd5bae2ff56f61669bf76bc0f828ff"],"state_sha256":"b6f64cbe6b0cf75e1e6c77c56cd9eb8939f4eb9fe6122553ee8eba151d05d6a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbKq7a29kUcOw79s2474rnMjg949MlVbEpX1NH3RR53LjTh34sJfGd/m9hfZHNKKwppD+VHTa/J8cP2CnaupCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T13:27:28.040022Z","bundle_sha256":"89450779db3b9ed9e558b777f1841d9cbe162e64a0ae2dc800836c6ac94fcf7e"}}