{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:GK32MPVJFXNWKFK7667Q6PSVCR","short_pith_number":"pith:GK32MPVJ","canonical_record":{"source":{"id":"2111.05922","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-10T20:35:38Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"22ef1a4334c334968316f618db9dba49a1d0e77d69ab84d5546df907df2e8e59","abstract_canon_sha256":"0b61494898b35476c3d32bd471ef2ea8d0992756848dfa35b17c7e75bd896ae5"},"schema_version":"1.0"},"canonical_sha256":"32b7a63ea92ddb65155ff7bf0f3e55145d1b7c8df622a87a1ca36abf5523536d","source":{"kind":"arxiv","id":"2111.05922","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.05922","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"2111.05922v4","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.05922","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"GK32MPVJFXNW","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_16","alias_value":"GK32MPVJFXNWKFK7","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_8","alias_value":"GK32MPVJ","created_at":"2026-07-05T06:02:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:GK32MPVJFXNWKFK7667Q6PSVCR","target":"record","payload":{"canonical_record":{"source":{"id":"2111.05922","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-10T20:35:38Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"22ef1a4334c334968316f618db9dba49a1d0e77d69ab84d5546df907df2e8e59","abstract_canon_sha256":"0b61494898b35476c3d32bd471ef2ea8d0992756848dfa35b17c7e75bd896ae5"},"schema_version":"1.0"},"canonical_sha256":"32b7a63ea92ddb65155ff7bf0f3e55145d1b7c8df622a87a1ca36abf5523536d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:02:44.662238Z","signature_b64":"1PYnjK8VIDYJwxabkvkPxjK27cm3ASPP9p5kln53rUSkbGMAWlvxk9F97g0w/WJeU6SiGrMbzfUUpH/YKWXBCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"32b7a63ea92ddb65155ff7bf0f3e55145d1b7c8df622a87a1ca36abf5523536d","last_reissued_at":"2026-07-05T06:02:44.661739Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:02:44.661739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2111.05922","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:02:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1g3M8WwDX3BltHIcshr1uM1sOy47hN0Gar4KorQU18XD6J1mYFW49JGTp2jL7iR4YXsnT/0gMTnMitPrIi3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:44:18.837905Z"},"content_sha256":"85c98ab17ed3f9d9b04378b1219b7dba50adf2d823fe6c464b9b149c7e67db83","schema_version":"1.0","event_id":"sha256:85c98ab17ed3f9d9b04378b1219b7dba50adf2d823fe6c464b9b149c7e67db83"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:GK32MPVJFXNWKFK7667Q6PSVCR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact-WKB analysis for SUSY and quantum deformed potentials: Quantum mechanics with Grassmann fields and Wess-Zumino terms","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Mithat \\\"Unsal, Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi","submitted_at":"2021-11-10T20:35:38Z","abstract_excerpt":"Quantum deformed potentials arise naturally in quantum mechanical systems of one bosonic coordinate coupled to $N_f$ Grassmann valued fermionic coordinates, or to a topological Wess-Zumino term. These systems decompose into sectors with a classical potential plus a quantum deformation. Using exact WKB, we derive exact quantization condition and its median resummation. The solution of median resummed form gives physical Borel-Ecalle resummed results, as we show explicitly in quantum deformed double- and triple- well potentials. Despite the fact that instantons are finite action, for generic qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.05922","kind":"arxiv","version":4},"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/2111.05922/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":"2026-07-05T06:02:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W6JdZwZcOYBAJtRj6t0msNnlyQRBCdweicVReeqL4cQFPsRTp2VCxAy2/JeuQxC/u1J1Fkngp0PWqhl79a5pDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T11:44:18.838847Z"},"content_sha256":"87026a5d043c4dd1502ebf3996ecf33f947eb25fb4fa5832f893bac27f8217bc","schema_version":"1.0","event_id":"sha256:87026a5d043c4dd1502ebf3996ecf33f947eb25fb4fa5832f893bac27f8217bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GK32MPVJFXNWKFK7667Q6PSVCR/bundle.json","state_url":"https://pith.science/pith/GK32MPVJFXNWKFK7667Q6PSVCR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GK32MPVJFXNWKFK7667Q6PSVCR/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":"2026-08-09T11:44:18Z","links":{"resolver":"https://pith.science/pith/GK32MPVJFXNWKFK7667Q6PSVCR","bundle":"https://pith.science/pith/GK32MPVJFXNWKFK7667Q6PSVCR/bundle.json","state":"https://pith.science/pith/GK32MPVJFXNWKFK7667Q6PSVCR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GK32MPVJFXNWKFK7667Q6PSVCR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:GK32MPVJFXNWKFK7667Q6PSVCR","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":"0b61494898b35476c3d32bd471ef2ea8d0992756848dfa35b17c7e75bd896ae5","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-10T20:35:38Z","title_canon_sha256":"22ef1a4334c334968316f618db9dba49a1d0e77d69ab84d5546df907df2e8e59"},"schema_version":"1.0","source":{"id":"2111.05922","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.05922","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"2111.05922v4","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.05922","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"GK32MPVJFXNW","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_16","alias_value":"GK32MPVJFXNWKFK7","created_at":"2026-07-05T06:02:44Z"},{"alias_kind":"pith_short_8","alias_value":"GK32MPVJ","created_at":"2026-07-05T06:02:44Z"}],"graph_snapshots":[{"event_id":"sha256:87026a5d043c4dd1502ebf3996ecf33f947eb25fb4fa5832f893bac27f8217bc","target":"graph","created_at":"2026-07-05T06:02:44Z","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/2111.05922/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum deformed potentials arise naturally in quantum mechanical systems of one bosonic coordinate coupled to $N_f$ Grassmann valued fermionic coordinates, or to a topological Wess-Zumino term. These systems decompose into sectors with a classical potential plus a quantum deformation. Using exact WKB, we derive exact quantization condition and its median resummation. The solution of median resummed form gives physical Borel-Ecalle resummed results, as we show explicitly in quantum deformed double- and triple- well potentials. Despite the fact that instantons are finite action, for generic qua","authors_text":"Mithat \\\"Unsal, Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-10T20:35:38Z","title":"Exact-WKB analysis for SUSY and quantum deformed potentials: Quantum mechanics with Grassmann fields and Wess-Zumino terms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.05922","kind":"arxiv","version":4},"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":"sha256:85c98ab17ed3f9d9b04378b1219b7dba50adf2d823fe6c464b9b149c7e67db83","target":"record","created_at":"2026-07-05T06:02:44Z","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":"0b61494898b35476c3d32bd471ef2ea8d0992756848dfa35b17c7e75bd896ae5","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-11-10T20:35:38Z","title_canon_sha256":"22ef1a4334c334968316f618db9dba49a1d0e77d69ab84d5546df907df2e8e59"},"schema_version":"1.0","source":{"id":"2111.05922","kind":"arxiv","version":4}},"canonical_sha256":"32b7a63ea92ddb65155ff7bf0f3e55145d1b7c8df622a87a1ca36abf5523536d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"32b7a63ea92ddb65155ff7bf0f3e55145d1b7c8df622a87a1ca36abf5523536d","first_computed_at":"2026-07-05T06:02:44.661739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:02:44.661739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1PYnjK8VIDYJwxabkvkPxjK27cm3ASPP9p5kln53rUSkbGMAWlvxk9F97g0w/WJeU6SiGrMbzfUUpH/YKWXBCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:02:44.662238Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.05922","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85c98ab17ed3f9d9b04378b1219b7dba50adf2d823fe6c464b9b149c7e67db83","sha256:87026a5d043c4dd1502ebf3996ecf33f947eb25fb4fa5832f893bac27f8217bc"],"state_sha256":"41edffce0bc5c19526aa7763032ce7dbd2f561a37bcf2cd6ed545d128e7f41ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/5N2IsrxdaxBDhcny/hxeXRjuwwrxetdbTx1952zUT9OOmzjLdfb3QPQ26FmEZQL5BBTKuxLAz8XkM1Nvfw4Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T11:44:18.842774Z","bundle_sha256":"dbb3d57b9b4774fc776d9d1742d6c701bb6d5a662e282e6d42843df0c1df4fc9"}}