{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:K7HIK5M2OY73P22FZKN6EF4P4L","short_pith_number":"pith:K7HIK5M2","canonical_record":{"source":{"id":"1707.09082","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-28T01:04:50Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"2e657b30326b48330e614c0d7718788d45d6b1862244d5241ff96b32134abe75","abstract_canon_sha256":"768bdafacfcde474cc7518eaa239d368a0274322cce75f4af54bee50ef6d1285"},"schema_version":"1.0"},"canonical_sha256":"57ce85759a763fb7eb45ca9be2178fe2d0ae4ecc45fd2422113655fea97d12e8","source":{"kind":"arxiv","id":"1707.09082","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09082","created_at":"2026-05-17T23:54:56Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09082v2","created_at":"2026-05-17T23:54:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09082","created_at":"2026-05-17T23:54:56Z"},{"alias_kind":"pith_short_12","alias_value":"K7HIK5M2OY73","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K7HIK5M2OY73P22F","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K7HIK5M2","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:K7HIK5M2OY73P22FZKN6EF4P4L","target":"record","payload":{"canonical_record":{"source":{"id":"1707.09082","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-28T01:04:50Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"2e657b30326b48330e614c0d7718788d45d6b1862244d5241ff96b32134abe75","abstract_canon_sha256":"768bdafacfcde474cc7518eaa239d368a0274322cce75f4af54bee50ef6d1285"},"schema_version":"1.0"},"canonical_sha256":"57ce85759a763fb7eb45ca9be2178fe2d0ae4ecc45fd2422113655fea97d12e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:56.773865Z","signature_b64":"YR/DBLL8NJBUjlXhXvl1n/7G3Jy1WZRKlUqnGOG1M0vWDMei6f43cNTBWehKc4HXp1FWzvRUOmTTR4wDT1O3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57ce85759a763fb7eb45ca9be2178fe2d0ae4ecc45fd2422113655fea97d12e8","last_reissued_at":"2026-05-17T23:54:56.773405Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:56.773405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.09082","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":"2026-05-17T23:54:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tDCxXjqvGYaAhXsYCtKvpcmx1VeoyI5qfzDKe+Hp49VTwMggVkgCFdDY6E3KrRyzg1FQsP95tbMgvhdFGebRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:21:35.480603Z"},"content_sha256":"ddfa73847436c47888d5af1f0f6dc7bc9a51736663edda6ccab5ef25dff4219f","schema_version":"1.0","event_id":"sha256:ddfa73847436c47888d5af1f0f6dc7bc9a51736663edda6ccab5ef25dff4219f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:K7HIK5M2OY73P22FZKN6EF4P4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-Hermitian inverted Harmonic Oscillator-Type Hamiltonians Generated from Supersymmetry with Reflections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"D. Ojeda-Guill\\'en, M. Salazar-Ram\\'irez, R. D. Mota, V. D. Granados","submitted_at":"2017-07-28T01:04:50Z","abstract_excerpt":"By modifying and generalizing known supersymmetric models we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic oscillator. The first set of Hamiltonians is derived by extending the supersymmetric quantum mechanics with reflections to non-Hermitian supercharges. The second set is obtained by generalizing the supersymmetric quantum mechanics valid for non-Hermitian supercharges with the Dunkl derivative instead of $\\frac{d}{dx}$. Also, by changing the derivative $\\frac{d}{dx}$ by the Dunkl derivative in the creation and annihilation-type operators of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09082","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":""},"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":"2026-05-17T23:54:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dFsTQiL4t7YoO1BZqkq5EXDxdQf9vdliMNJmQLJVjeNo0XqZznbOPyEtdQLp37uxnnfS6/YoS18c7fm5tLXpDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T23:21:35.481363Z"},"content_sha256":"46837b64de17f33538cdcd7c7d521e260edc705bb9cb8a776c78ebca8aaf6dea","schema_version":"1.0","event_id":"sha256:46837b64de17f33538cdcd7c7d521e260edc705bb9cb8a776c78ebca8aaf6dea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7HIK5M2OY73P22FZKN6EF4P4L/bundle.json","state_url":"https://pith.science/pith/K7HIK5M2OY73P22FZKN6EF4P4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7HIK5M2OY73P22FZKN6EF4P4L/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":"2026-06-06T23:21:35Z","links":{"resolver":"https://pith.science/pith/K7HIK5M2OY73P22FZKN6EF4P4L","bundle":"https://pith.science/pith/K7HIK5M2OY73P22FZKN6EF4P4L/bundle.json","state":"https://pith.science/pith/K7HIK5M2OY73P22FZKN6EF4P4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7HIK5M2OY73P22FZKN6EF4P4L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K7HIK5M2OY73P22FZKN6EF4P4L","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":"768bdafacfcde474cc7518eaa239d368a0274322cce75f4af54bee50ef6d1285","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-28T01:04:50Z","title_canon_sha256":"2e657b30326b48330e614c0d7718788d45d6b1862244d5241ff96b32134abe75"},"schema_version":"1.0","source":{"id":"1707.09082","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09082","created_at":"2026-05-17T23:54:56Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09082v2","created_at":"2026-05-17T23:54:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09082","created_at":"2026-05-17T23:54:56Z"},{"alias_kind":"pith_short_12","alias_value":"K7HIK5M2OY73","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K7HIK5M2OY73P22F","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K7HIK5M2","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:46837b64de17f33538cdcd7c7d521e260edc705bb9cb8a776c78ebca8aaf6dea","target":"graph","created_at":"2026-05-17T23:54:56Z","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"},"paper":{"abstract_excerpt":"By modifying and generalizing known supersymmetric models we are able to find four different sets of one-dimensional Hamiltonians for the inverted harmonic oscillator. The first set of Hamiltonians is derived by extending the supersymmetric quantum mechanics with reflections to non-Hermitian supercharges. The second set is obtained by generalizing the supersymmetric quantum mechanics valid for non-Hermitian supercharges with the Dunkl derivative instead of $\\frac{d}{dx}$. Also, by changing the derivative $\\frac{d}{dx}$ by the Dunkl derivative in the creation and annihilation-type operators of ","authors_text":"D. Ojeda-Guill\\'en, M. Salazar-Ram\\'irez, R. D. Mota, V. D. Granados","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-28T01:04:50Z","title":"Non-Hermitian inverted Harmonic Oscillator-Type Hamiltonians Generated from Supersymmetry with Reflections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09082","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:ddfa73847436c47888d5af1f0f6dc7bc9a51736663edda6ccab5ef25dff4219f","target":"record","created_at":"2026-05-17T23:54:56Z","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":"768bdafacfcde474cc7518eaa239d368a0274322cce75f4af54bee50ef6d1285","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-07-28T01:04:50Z","title_canon_sha256":"2e657b30326b48330e614c0d7718788d45d6b1862244d5241ff96b32134abe75"},"schema_version":"1.0","source":{"id":"1707.09082","kind":"arxiv","version":2}},"canonical_sha256":"57ce85759a763fb7eb45ca9be2178fe2d0ae4ecc45fd2422113655fea97d12e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57ce85759a763fb7eb45ca9be2178fe2d0ae4ecc45fd2422113655fea97d12e8","first_computed_at":"2026-05-17T23:54:56.773405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:56.773405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YR/DBLL8NJBUjlXhXvl1n/7G3Jy1WZRKlUqnGOG1M0vWDMei6f43cNTBWehKc4HXp1FWzvRUOmTTR4wDT1O3DQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:56.773865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09082","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ddfa73847436c47888d5af1f0f6dc7bc9a51736663edda6ccab5ef25dff4219f","sha256:46837b64de17f33538cdcd7c7d521e260edc705bb9cb8a776c78ebca8aaf6dea"],"state_sha256":"708ccd08748e930d5f86d6de25364d1f425e5fd43c1b77219e6e76dc5b7729cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QaGrpLUC2lpWO8gDgEeYVTWy07UB+pyK8tPBwHiaXvtOXz3XXO1sYFPmiadO/P1eaurBblhm5Ugh+cttNmMqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T23:21:35.485833Z","bundle_sha256":"0a32d5ee25ae1cdef71ee016e46497f87f1cb4460f9bc5f30fb65a9f50a36674"}}