{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AK32UUIWHACHS4BNFX42S73W7M","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":"73c0274cabf357f303485931bb2e2f2c53d9b11bdf576624fc5c4eda8a2da967","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T11:50:51Z","title_canon_sha256":"23e0a75dd9f4a610f2e8b9659acd521b593b44704de7ca3e03989f8e8e8192b6"},"schema_version":"1.0","source":{"id":"2406.01230","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.01230","created_at":"2026-07-05T08:58:24Z"},{"alias_kind":"arxiv_version","alias_value":"2406.01230v2","created_at":"2026-07-05T08:58:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.01230","created_at":"2026-07-05T08:58:24Z"},{"alias_kind":"pith_short_12","alias_value":"AK32UUIWHACH","created_at":"2026-07-05T08:58:24Z"},{"alias_kind":"pith_short_16","alias_value":"AK32UUIWHACHS4BN","created_at":"2026-07-05T08:58:24Z"},{"alias_kind":"pith_short_8","alias_value":"AK32UUIW","created_at":"2026-07-05T08:58:24Z"}],"graph_snapshots":[{"event_id":"sha256:82272492cc998ed3d77cee5b261c1f1ec37a72ce84e96afb71c66d6f9b287981","target":"graph","created_at":"2026-07-05T08:58:24Z","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/2406.01230/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study exact Wentzel-Kramers-Brillouin analysis (EWKB) for a ${\\cal PT}$ symmetric quantum mechanics (QM) defined by the potential that $V_{\\cal PT}(x) = \\omega^2 x^2 + g x^{2 K} (i x)^{\\varepsilon}$ with $\\omega \\in {\\mathbb R}_{\\ge 0}$, $g \\in {\\mathbb R}_{>0}$ and $K, \\varepsilon \\in {\\mathbb N}$ to clarify its perturbative/non-perturbative structure. In our analysis, we mainly consider the massless cases, i.e., $\\omega = 0$, and derive the exact quantization conditions (QCs) for arbitrary $(K,\\varepsilon)$ including all perturbative/non-perturbative corrections. From the exact QCs, we cl","authors_text":"Syo Kamata","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T11:50:51Z","title":"Exact quantization conditions and full transseries structures for ${\\cal PT}$ symmetric anharmonic oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01230","kind":"arxiv","version":2},"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":"sha256:5758180eda3d6dfc187598ea64c40955f363637fba090ad4d8be562abc580f2d","target":"record","created_at":"2026-07-05T08:58:24Z","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":"73c0274cabf357f303485931bb2e2f2c53d9b11bdf576624fc5c4eda8a2da967","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T11:50:51Z","title_canon_sha256":"23e0a75dd9f4a610f2e8b9659acd521b593b44704de7ca3e03989f8e8e8192b6"},"schema_version":"1.0","source":{"id":"2406.01230","kind":"arxiv","version":2}},"canonical_sha256":"02b7aa5116380479702d2df9a97f76fb393cb8f2c0c53fb409362b880553e4f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02b7aa5116380479702d2df9a97f76fb393cb8f2c0c53fb409362b880553e4f8","first_computed_at":"2026-07-05T08:58:24.542117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:58:24.542117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IkQz/FUzTbjDr/BdQKcntxknbY8r3YoYQu4/K99sVt5dN6s6ABHy/Wpx5grGPC8zp7T+A9W2hFnc9H6oJB7wDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:58:24.542668Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.01230","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5758180eda3d6dfc187598ea64c40955f363637fba090ad4d8be562abc580f2d","sha256:82272492cc998ed3d77cee5b261c1f1ec37a72ce84e96afb71c66d6f9b287981"],"state_sha256":"1b0fa1011dc72d2be98550c8338a677993d9b348da951a6ad2ef44aec02f5f8a"}