{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:NGWRXE33UDGIAPUAROSIHHC3KF","short_pith_number":"pith:NGWRXE33","canonical_record":{"source":{"id":"2505.09240","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T09:28:17Z","cross_cats_sorted":[],"title_canon_sha256":"23be66a3c5b799a6ebd22225fb863cca30f3df21edb8ec2b27bad4a3d7fcca10","abstract_canon_sha256":"58a49aa6d2bad831564cd332cead0473dfb5c0e66384fb97e4859bec8bc934a0"},"schema_version":"1.0"},"canonical_sha256":"69ad1b937ba0cc803e808ba4839c5b516881868dfeca5832b2ca03e92eb9c5ab","source":{"kind":"arxiv","id":"2505.09240","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09240","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09240v3","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09240","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"NGWRXE33UDGI","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"NGWRXE33UDGIAPUA","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"NGWRXE33","created_at":"2026-07-05T12:09:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:NGWRXE33UDGIAPUAROSIHHC3KF","target":"record","payload":{"canonical_record":{"source":{"id":"2505.09240","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T09:28:17Z","cross_cats_sorted":[],"title_canon_sha256":"23be66a3c5b799a6ebd22225fb863cca30f3df21edb8ec2b27bad4a3d7fcca10","abstract_canon_sha256":"58a49aa6d2bad831564cd332cead0473dfb5c0e66384fb97e4859bec8bc934a0"},"schema_version":"1.0"},"canonical_sha256":"69ad1b937ba0cc803e808ba4839c5b516881868dfeca5832b2ca03e92eb9c5ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:09:44.328472Z","signature_b64":"ApITm3UPI7ncZOa93+MeDSi2x0ufDdJepjkWu4d/TtCYKru9A7oS46VqtqpDGz55aSu1PI7N22Ccpy9tH0jCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69ad1b937ba0cc803e808ba4839c5b516881868dfeca5832b2ca03e92eb9c5ab","last_reissued_at":"2026-07-05T12:09:44.328026Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:09:44.328026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.09240","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FQROnyReozz8Q7WZkNj5Z/hQmCFcHFpXL5tPxLJjZLVOxUer5jbbvWU/V30FQDwb5wP0KMqxHGDlnHEYv8nRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:17:31.729712Z"},"content_sha256":"442616aa01ae759f61ee6c2e61d3f375eb9d6c46d3a9d5cedb8957c1394eeaeb","schema_version":"1.0","event_id":"sha256:442616aa01ae759f61ee6c2e61d3f375eb9d6c46d3a9d5cedb8957c1394eeaeb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:NGWRXE33UDGIAPUAROSIHHC3KF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact WKB analysis for dynamical and geometric exponents in generalized and nonlinear Landau-Zener transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Tomohiro Matsuda","submitted_at":"2025-05-14T09:28:17Z","abstract_excerpt":"The Berry phase is a geometric phase that is important in explaining topological quantum phenomena. The Berry phase is also important in non-perturbative phenomena, as the imaginary part of the phase explains the non-perturbative transitions. However, problems arose because the singular perturbation with respect to the Planck constant has not been treated adequately in conventional calculations, where the most serious problem is the arbitrariness of approximate calculations. To solve this problem, we consider the exact WKB, which is a mathematical method that treats perturbative expansion with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09240","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/2505.09240/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":"2026-07-05T12:09:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HBnFoJFgKWhWUi4mu4R5kB85oGKAbw/hmbA9puesxE5Bn7kILjipkDyCqv3FqeEs4k8J9RnaC6arLvWV5e8oBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T13:17:31.730225Z"},"content_sha256":"abe6422362bd6ea6f1ba07a665820a2041c7eaea850f2daa884172403acd51f2","schema_version":"1.0","event_id":"sha256:abe6422362bd6ea6f1ba07a665820a2041c7eaea850f2daa884172403acd51f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NGWRXE33UDGIAPUAROSIHHC3KF/bundle.json","state_url":"https://pith.science/pith/NGWRXE33UDGIAPUAROSIHHC3KF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NGWRXE33UDGIAPUAROSIHHC3KF/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":"2026-08-16T13:17:31Z","links":{"resolver":"https://pith.science/pith/NGWRXE33UDGIAPUAROSIHHC3KF","bundle":"https://pith.science/pith/NGWRXE33UDGIAPUAROSIHHC3KF/bundle.json","state":"https://pith.science/pith/NGWRXE33UDGIAPUAROSIHHC3KF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NGWRXE33UDGIAPUAROSIHHC3KF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:NGWRXE33UDGIAPUAROSIHHC3KF","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":"58a49aa6d2bad831564cd332cead0473dfb5c0e66384fb97e4859bec8bc934a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T09:28:17Z","title_canon_sha256":"23be66a3c5b799a6ebd22225fb863cca30f3df21edb8ec2b27bad4a3d7fcca10"},"schema_version":"1.0","source":{"id":"2505.09240","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09240","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09240v3","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09240","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_12","alias_value":"NGWRXE33UDGI","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_16","alias_value":"NGWRXE33UDGIAPUA","created_at":"2026-07-05T12:09:44Z"},{"alias_kind":"pith_short_8","alias_value":"NGWRXE33","created_at":"2026-07-05T12:09:44Z"}],"graph_snapshots":[{"event_id":"sha256:abe6422362bd6ea6f1ba07a665820a2041c7eaea850f2daa884172403acd51f2","target":"graph","created_at":"2026-07-05T12:09:44Z","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/2505.09240/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Berry phase is a geometric phase that is important in explaining topological quantum phenomena. The Berry phase is also important in non-perturbative phenomena, as the imaginary part of the phase explains the non-perturbative transitions. However, problems arose because the singular perturbation with respect to the Planck constant has not been treated adequately in conventional calculations, where the most serious problem is the arbitrariness of approximate calculations. To solve this problem, we consider the exact WKB, which is a mathematical method that treats perturbative expansion with","authors_text":"Tomohiro Matsuda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T09:28:17Z","title":"Exact WKB analysis for dynamical and geometric exponents in generalized and nonlinear Landau-Zener transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09240","kind":"arxiv","version":3},"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":"sha256:442616aa01ae759f61ee6c2e61d3f375eb9d6c46d3a9d5cedb8957c1394eeaeb","target":"record","created_at":"2026-07-05T12:09:44Z","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":"58a49aa6d2bad831564cd332cead0473dfb5c0e66384fb97e4859bec8bc934a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T09:28:17Z","title_canon_sha256":"23be66a3c5b799a6ebd22225fb863cca30f3df21edb8ec2b27bad4a3d7fcca10"},"schema_version":"1.0","source":{"id":"2505.09240","kind":"arxiv","version":3}},"canonical_sha256":"69ad1b937ba0cc803e808ba4839c5b516881868dfeca5832b2ca03e92eb9c5ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69ad1b937ba0cc803e808ba4839c5b516881868dfeca5832b2ca03e92eb9c5ab","first_computed_at":"2026-07-05T12:09:44.328026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:09:44.328026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ApITm3UPI7ncZOa93+MeDSi2x0ufDdJepjkWu4d/TtCYKru9A7oS46VqtqpDGz55aSu1PI7N22Ccpy9tH0jCDw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:09:44.328472Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.09240","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:442616aa01ae759f61ee6c2e61d3f375eb9d6c46d3a9d5cedb8957c1394eeaeb","sha256:abe6422362bd6ea6f1ba07a665820a2041c7eaea850f2daa884172403acd51f2"],"state_sha256":"7d364640f932591f582f6bfc473b09139abd1983abd93c13f144c4044d270a2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K2fy/FVgQq56mAAu8euYee1x9Fq2p1LIW7d3aItn/NS4orDXWWtLX1KMw4juAqQdmNviDSOBx9fzmj+tsPs1AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T13:17:31.734641Z","bundle_sha256":"8a67533d1e3020205b9895be92724180d7854945bc5c8f2925ba485942a661d0"}}