{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:FNJ5EMS5KOIGO2QEF2DFCNGEMN","short_pith_number":"pith:FNJ5EMS5","canonical_record":{"source":{"id":"2401.03766","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-08T09:42:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a576b4d55a224790b32cda09bfcd9629c7b88dfaad27d5c1e4c667dee8fe634c","abstract_canon_sha256":"7a55a4582bd37ce5792cb96953fc22175eb0876573dc26f41921345c4fe9e628"},"schema_version":"1.0"},"canonical_sha256":"2b53d2325d5390676a042e865134c46356a4fc705acc6de771c625cef057f31c","source":{"kind":"arxiv","id":"2401.03766","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.03766","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"arxiv_version","alias_value":"2401.03766v2","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.03766","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"pith_short_12","alias_value":"FNJ5EMS5KOIG","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"pith_short_16","alias_value":"FNJ5EMS5KOIGO2QE","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"pith_short_8","alias_value":"FNJ5EMS5","created_at":"2026-07-05T07:59:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:FNJ5EMS5KOIGO2QEF2DFCNGEMN","target":"record","payload":{"canonical_record":{"source":{"id":"2401.03766","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-08T09:42:59Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a576b4d55a224790b32cda09bfcd9629c7b88dfaad27d5c1e4c667dee8fe634c","abstract_canon_sha256":"7a55a4582bd37ce5792cb96953fc22175eb0876573dc26f41921345c4fe9e628"},"schema_version":"1.0"},"canonical_sha256":"2b53d2325d5390676a042e865134c46356a4fc705acc6de771c625cef057f31c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:59:20.911758Z","signature_b64":"HOVBMmBpaG6R9CM4BZL9m4bVdRgj9i9NowC3MfDi/MLfx85vqzWSh4dn8y1Ai7MbgfHRuobeBJEbHX9VLiQCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b53d2325d5390676a042e865134c46356a4fc705acc6de771c625cef057f31c","last_reissued_at":"2026-07-05T07:59:20.911308Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:59:20.911308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.03766","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:59:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+QhGbqxo5Rx9Y1IGxh1Xo7qjG0/v7SbEH5RE7OkfYiuzieHWeBXXbuCDIqzVZKtmI4CV+buq7RHF9IdeoJkwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:21:47.411795Z"},"content_sha256":"19541fa6abcd9b856b7d330b0997d8d56cc325ad509e4b71d4b9ba04ab9dbc19","schema_version":"1.0","event_id":"sha256:19541fa6abcd9b856b7d330b0997d8d56cc325ad509e4b71d4b9ba04ab9dbc19"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:FNJ5EMS5KOIGO2QEF2DFCNGEMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hongfei Shu, Katsushi Ito","submitted_at":"2024-01-08T09:42:59Z","abstract_excerpt":"We study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations. We apply the ODE/IM correspondence to the Schr\\\"odinger equation with an effective potential deformed by integrating out the fermions, which admits a continuous deformation parameter. We find that the TBA equations are described by the ${\\mathbb Z}_4$-extended ones. For cubic superpotential corresponding to the symmetric double-well potential, the TBA system splits into the two $D_3$-type TBA equations. We investigate in detail this exam"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.03766","kind":"arxiv","version":2},"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/2401.03766/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":"2026-07-05T07:59:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oecCfihS1aXY5avLbxxSwITf4EnHnUrpdwUm9wUgYnUVzF9NpeKH7gKlArIA4PQq+WlK8fvSCzbTrsmAl/RiCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:21:47.412304Z"},"content_sha256":"715bfcc90df5cf56457707712baf50968caba0bc52c3e01f2fb39da33cc3b79b","schema_version":"1.0","event_id":"sha256:715bfcc90df5cf56457707712baf50968caba0bc52c3e01f2fb39da33cc3b79b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN/bundle.json","state_url":"https://pith.science/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN/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":"2026-08-07T17:21:47Z","links":{"resolver":"https://pith.science/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN","bundle":"https://pith.science/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN/bundle.json","state":"https://pith.science/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FNJ5EMS5KOIGO2QEF2DFCNGEMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FNJ5EMS5KOIGO2QEF2DFCNGEMN","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":"7a55a4582bd37ce5792cb96953fc22175eb0876573dc26f41921345c4fe9e628","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-08T09:42:59Z","title_canon_sha256":"a576b4d55a224790b32cda09bfcd9629c7b88dfaad27d5c1e4c667dee8fe634c"},"schema_version":"1.0","source":{"id":"2401.03766","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.03766","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"arxiv_version","alias_value":"2401.03766v2","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.03766","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"pith_short_12","alias_value":"FNJ5EMS5KOIG","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"pith_short_16","alias_value":"FNJ5EMS5KOIGO2QE","created_at":"2026-07-05T07:59:20Z"},{"alias_kind":"pith_short_8","alias_value":"FNJ5EMS5","created_at":"2026-07-05T07:59:20Z"}],"graph_snapshots":[{"event_id":"sha256:715bfcc90df5cf56457707712baf50968caba0bc52c3e01f2fb39da33cc3b79b","target":"graph","created_at":"2026-07-05T07:59:20Z","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/2401.03766/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the spectral problem in deformed supersymmetric quantum mechanics with polynomial superpotential by using the exact WKB method and the TBA equations. We apply the ODE/IM correspondence to the Schr\\\"odinger equation with an effective potential deformed by integrating out the fermions, which admits a continuous deformation parameter. We find that the TBA equations are described by the ${\\mathbb Z}_4$-extended ones. For cubic superpotential corresponding to the symmetric double-well potential, the TBA system splits into the two $D_3$-type TBA equations. We investigate in detail this exam","authors_text":"Hongfei Shu, Katsushi Ito","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-08T09:42:59Z","title":"TBA equations and exact WKB analysis in deformed supersymmetric quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.03766","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":"sha256:19541fa6abcd9b856b7d330b0997d8d56cc325ad509e4b71d4b9ba04ab9dbc19","target":"record","created_at":"2026-07-05T07:59:20Z","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":"7a55a4582bd37ce5792cb96953fc22175eb0876573dc26f41921345c4fe9e628","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-01-08T09:42:59Z","title_canon_sha256":"a576b4d55a224790b32cda09bfcd9629c7b88dfaad27d5c1e4c667dee8fe634c"},"schema_version":"1.0","source":{"id":"2401.03766","kind":"arxiv","version":2}},"canonical_sha256":"2b53d2325d5390676a042e865134c46356a4fc705acc6de771c625cef057f31c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b53d2325d5390676a042e865134c46356a4fc705acc6de771c625cef057f31c","first_computed_at":"2026-07-05T07:59:20.911308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:20.911308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HOVBMmBpaG6R9CM4BZL9m4bVdRgj9i9NowC3MfDi/MLfx85vqzWSh4dn8y1Ai7MbgfHRuobeBJEbHX9VLiQCDA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:20.911758Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.03766","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19541fa6abcd9b856b7d330b0997d8d56cc325ad509e4b71d4b9ba04ab9dbc19","sha256:715bfcc90df5cf56457707712baf50968caba0bc52c3e01f2fb39da33cc3b79b"],"state_sha256":"05f35588ee220eeca3e684b544efbf5766defc41efa8c968bcd19c78c5a0d116"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R+J7NXN5G8Qy+/Cr9pvCacG9MfQoELjgSOWxbGu/r/cjRN1gTIFWE/O2fyAqOfrxwogylsa0Hxhug4qHA8UVDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T17:21:47.416425Z","bundle_sha256":"a401465a26bcf557610d3efc196ae9c79f5214d00d9187f7341822d09a73759d"}}