{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:L7ZLVYVXE5C44YTSERSSLOJOBQ","short_pith_number":"pith:L7ZLVYVX","canonical_record":{"source":{"id":"math-ph/0312029","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-12-10T16:20:54Z","cross_cats_sorted":["hep-th","math.MP","math.QA","quant-ph"],"title_canon_sha256":"3c5828fa4b1c928731030da5e457dddb26702aec184ee3796576db36198351fc","abstract_canon_sha256":"c7eb17612f0fcfe56f5ff8b7a41a54da73b03990dddb954d3c81b7840841a918"},"schema_version":"1.0"},"canonical_sha256":"5ff2bae2b72745ce6272246525b92e0c3be2b470548710ef48477873b675bf4f","source":{"kind":"arxiv","id":"math-ph/0312029","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0312029","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0312029v2","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0312029","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"pith_short_12","alias_value":"L7ZLVYVXE5C4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"L7ZLVYVXE5C44YTS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"L7ZLVYVX","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:L7ZLVYVXE5C44YTSERSSLOJOBQ","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0312029","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2003-12-10T16:20:54Z","cross_cats_sorted":["hep-th","math.MP","math.QA","quant-ph"],"title_canon_sha256":"3c5828fa4b1c928731030da5e457dddb26702aec184ee3796576db36198351fc","abstract_canon_sha256":"c7eb17612f0fcfe56f5ff8b7a41a54da73b03990dddb954d3c81b7840841a918"},"schema_version":"1.0"},"canonical_sha256":"5ff2bae2b72745ce6272246525b92e0c3be2b470548710ef48477873b675bf4f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:27.179369Z","signature_b64":"WyZrKLVDf05MYi0oq0XY15azkI9qk81XeATQC2amEGnbXNTUTHHqinWAphVBOuBnOq/svJTiqDdpVXs8DT7gCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ff2bae2b72745ce6272246525b92e0c3be2b470548710ef48477873b675bf4f","last_reissued_at":"2026-05-18T04:17:27.178860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:27.178860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0312029","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":"2026-05-18T04:17:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"toKYrfwL8SroNpu/3NToiy+5UhKlTHDbWOlvytP7MOXEuA/T49hqrg3yRh2bIZoLOB0C0yUgjXckVYG4BJvODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:37:23.032911Z"},"content_sha256":"aa8b5fee94aecb17ef0af836f464dfe8df391019c023236d733beba0bdaf4e62","schema_version":"1.0","event_id":"sha256:aa8b5fee94aecb17ef0af836f464dfe8df391019c023236d733beba0bdaf4e62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:L7ZLVYVXE5C44YTSERSSLOJOBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum","license":"","headline":"","cross_cats":["hep-th","math.MP","math.QA","quant-ph"],"primary_cat":"math-ph","authors_text":"C. Quesne, V.M. Tkachuk","submitted_at":"2003-12-10T16:20:54Z","abstract_excerpt":"We continue our previous application of supersymmetric quantum mechanical methods to eigenvalue problems in the context of some deformed canonical commutation relations leading to nonzero minimal uncertainties in position and/or momentum. Here we determine for the first time the spectrum and the eigenvectors of a one-dimensional harmonic oscillator in the presence of a uniform electric field in terms of the deforming parameters $\\alpha$, $\\beta$. We establish that whenever there is a nonzero minimal uncertainty in momentum, i.e., for $\\alpha \\ne 0$, the correction to the harmonic oscillator ei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0312029","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":"2026-05-18T04:17:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w7Ysos5kE9oX6tHQarvS1OY4/bC7tLdgy9WivLCEwBRAcUQhxVRSTJGt8B4gy2ePtvqh7BVeyxlaFbNhiQ3bCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:37:23.033264Z"},"content_sha256":"dc18448b3eaa8b6b9d0b9486c28d651f302e0fce3d7ecac5393ded73391f3345","schema_version":"1.0","event_id":"sha256:dc18448b3eaa8b6b9d0b9486c28d651f302e0fce3d7ecac5393ded73391f3345"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ/bundle.json","state_url":"https://pith.science/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ/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":"2026-06-01T17:37:23Z","links":{"resolver":"https://pith.science/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ","bundle":"https://pith.science/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ/bundle.json","state":"https://pith.science/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L7ZLVYVXE5C44YTSERSSLOJOBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:L7ZLVYVXE5C44YTSERSSLOJOBQ","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":"c7eb17612f0fcfe56f5ff8b7a41a54da73b03990dddb954d3c81b7840841a918","cross_cats_sorted":["hep-th","math.MP","math.QA","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2003-12-10T16:20:54Z","title_canon_sha256":"3c5828fa4b1c928731030da5e457dddb26702aec184ee3796576db36198351fc"},"schema_version":"1.0","source":{"id":"math-ph/0312029","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0312029","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0312029v2","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0312029","created_at":"2026-05-18T04:17:27Z"},{"alias_kind":"pith_short_12","alias_value":"L7ZLVYVXE5C4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"L7ZLVYVXE5C44YTS","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"L7ZLVYVX","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:dc18448b3eaa8b6b9d0b9486c28d651f302e0fce3d7ecac5393ded73391f3345","target":"graph","created_at":"2026-05-18T04:17:27Z","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":"We continue our previous application of supersymmetric quantum mechanical methods to eigenvalue problems in the context of some deformed canonical commutation relations leading to nonzero minimal uncertainties in position and/or momentum. Here we determine for the first time the spectrum and the eigenvectors of a one-dimensional harmonic oscillator in the presence of a uniform electric field in terms of the deforming parameters $\\alpha$, $\\beta$. We establish that whenever there is a nonzero minimal uncertainty in momentum, i.e., for $\\alpha \\ne 0$, the correction to the harmonic oscillator ei","authors_text":"C. Quesne, V.M. Tkachuk","cross_cats":["hep-th","math.MP","math.QA","quant-ph"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2003-12-10T16:20:54Z","title":"More on a SUSYQM approach to the harmonic oscillator with nonzero minimal uncertainties in position and/or momentum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0312029","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:aa8b5fee94aecb17ef0af836f464dfe8df391019c023236d733beba0bdaf4e62","target":"record","created_at":"2026-05-18T04:17:27Z","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":"c7eb17612f0fcfe56f5ff8b7a41a54da73b03990dddb954d3c81b7840841a918","cross_cats_sorted":["hep-th","math.MP","math.QA","quant-ph"],"license":"","primary_cat":"math-ph","submitted_at":"2003-12-10T16:20:54Z","title_canon_sha256":"3c5828fa4b1c928731030da5e457dddb26702aec184ee3796576db36198351fc"},"schema_version":"1.0","source":{"id":"math-ph/0312029","kind":"arxiv","version":2}},"canonical_sha256":"5ff2bae2b72745ce6272246525b92e0c3be2b470548710ef48477873b675bf4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ff2bae2b72745ce6272246525b92e0c3be2b470548710ef48477873b675bf4f","first_computed_at":"2026-05-18T04:17:27.178860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:17:27.178860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WyZrKLVDf05MYi0oq0XY15azkI9qk81XeATQC2amEGnbXNTUTHHqinWAphVBOuBnOq/svJTiqDdpVXs8DT7gCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:17:27.179369Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0312029","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa8b5fee94aecb17ef0af836f464dfe8df391019c023236d733beba0bdaf4e62","sha256:dc18448b3eaa8b6b9d0b9486c28d651f302e0fce3d7ecac5393ded73391f3345"],"state_sha256":"cd2d9b8aa953218ef07566f3d4a09d01516adcb9c01848e6739b8e473cfc06ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hk4S8OKrPZX7q3bLJq3voTrGOFNUOwfpTKPK6nKIceO8wJlENiSv3W1hSzQtvIMhAdPv8qn/WUulhqc19nVaCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:37:23.035195Z","bundle_sha256":"91174e706ef61a919a57e8d9018904309b018137e86531f1b9a06b960b85bf17"}}