{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:HHEQPAWZTUDHIVZNWTKXVNHHEK","short_pith_number":"pith:HHEQPAWZ","canonical_record":{"source":{"id":"1012.0808","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-12-03T18:33:59Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"e56c5ac6845dfce02deb33ad385abca46128568273a29470795954a2964cf2ad","abstract_canon_sha256":"ca1d9e43417d0fad55a4bc510251b9c0673652663a26c9985961b994256a84fb"},"schema_version":"1.0"},"canonical_sha256":"39c90782d99d0674572db4d57ab4e722b79268895fedeb2ae06aa00a5d492388","source":{"kind":"arxiv","id":"1012.0808","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0808","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0808v3","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0808","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"HHEQPAWZTUDH","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HHEQPAWZTUDHIVZN","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HHEQPAWZ","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:HHEQPAWZTUDHIVZNWTKXVNHHEK","target":"record","payload":{"canonical_record":{"source":{"id":"1012.0808","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-12-03T18:33:59Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"e56c5ac6845dfce02deb33ad385abca46128568273a29470795954a2964cf2ad","abstract_canon_sha256":"ca1d9e43417d0fad55a4bc510251b9c0673652663a26c9985961b994256a84fb"},"schema_version":"1.0"},"canonical_sha256":"39c90782d99d0674572db4d57ab4e722b79268895fedeb2ae06aa00a5d492388","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:16.090234Z","signature_b64":"qxxL/YotOwoNOU37Gxw3W1zjlRclNFrmE2gsC9rWN2TH3ccHpw5LQHeuibUwoqWM0Z+oFx54Q6jNdiQLGW8bDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39c90782d99d0674572db4d57ab4e722b79268895fedeb2ae06aa00a5d492388","last_reissued_at":"2026-05-18T02:23:16.089687Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:16.089687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.0808","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eXRIUdi6ZI1sEHVAHWfGGHGcfIRlWBHKZHJY57NJuQvOk/2dPVY+jp5xG81gzZgpvHEhZXT8kqCiXTix98b0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:09:39.629251Z"},"content_sha256":"6fcfa50907d20ad6b6460f3832c3426fe68f5f6cff859c056e35430701b77900","schema_version":"1.0","event_id":"sha256:6fcfa50907d20ad6b6460f3832c3426fe68f5f6cff859c056e35430701b77900"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:HHEQPAWZTUDHIVZNWTKXVNHHEK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Supersymmetry Transformations for Delta Potentials","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"David J. Fern\\'andez C., Luis-Miguel Nieto, Manuel Gadella","submitted_at":"2010-12-03T18:33:59Z","abstract_excerpt":"We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0808","kind":"arxiv","version":3},"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":"2026-05-18T02:23:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPI2USrw7HAw7fBMAo3RxGNdKekM4hspcRMV4NLHt6Pyv7OZ0LV2CWNyHeIwddWb5K84NB4hNGn+0NA7r6JADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T22:09:39.629627Z"},"content_sha256":"bf3d0c159a5621d2ce10f265ec9869c3887159daa3a543dff5eb208cd4736dab","schema_version":"1.0","event_id":"sha256:bf3d0c159a5621d2ce10f265ec9869c3887159daa3a543dff5eb208cd4736dab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK/bundle.json","state_url":"https://pith.science/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK/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":"2026-06-03T22:09:39Z","links":{"resolver":"https://pith.science/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK","bundle":"https://pith.science/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK/bundle.json","state":"https://pith.science/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HHEQPAWZTUDHIVZNWTKXVNHHEK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:HHEQPAWZTUDHIVZNWTKXVNHHEK","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":"ca1d9e43417d0fad55a4bc510251b9c0673652663a26c9985961b994256a84fb","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-12-03T18:33:59Z","title_canon_sha256":"e56c5ac6845dfce02deb33ad385abca46128568273a29470795954a2964cf2ad"},"schema_version":"1.0","source":{"id":"1012.0808","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0808","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0808v3","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0808","created_at":"2026-05-18T02:23:16Z"},{"alias_kind":"pith_short_12","alias_value":"HHEQPAWZTUDH","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"HHEQPAWZTUDHIVZN","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"HHEQPAWZ","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:bf3d0c159a5621d2ce10f265ec9869c3887159daa3a543dff5eb208cd4736dab","target":"graph","created_at":"2026-05-18T02:23:16Z","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 make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics.","authors_text":"David J. Fern\\'andez C., Luis-Miguel Nieto, Manuel Gadella","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-12-03T18:33:59Z","title":"Supersymmetry Transformations for Delta Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0808","kind":"arxiv","version":3},"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":"sha256:6fcfa50907d20ad6b6460f3832c3426fe68f5f6cff859c056e35430701b77900","target":"record","created_at":"2026-05-18T02:23:16Z","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":"ca1d9e43417d0fad55a4bc510251b9c0673652663a26c9985961b994256a84fb","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2010-12-03T18:33:59Z","title_canon_sha256":"e56c5ac6845dfce02deb33ad385abca46128568273a29470795954a2964cf2ad"},"schema_version":"1.0","source":{"id":"1012.0808","kind":"arxiv","version":3}},"canonical_sha256":"39c90782d99d0674572db4d57ab4e722b79268895fedeb2ae06aa00a5d492388","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"39c90782d99d0674572db4d57ab4e722b79268895fedeb2ae06aa00a5d492388","first_computed_at":"2026-05-18T02:23:16.089687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:16.089687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qxxL/YotOwoNOU37Gxw3W1zjlRclNFrmE2gsC9rWN2TH3ccHpw5LQHeuibUwoqWM0Z+oFx54Q6jNdiQLGW8bDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:16.090234Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0808","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fcfa50907d20ad6b6460f3832c3426fe68f5f6cff859c056e35430701b77900","sha256:bf3d0c159a5621d2ce10f265ec9869c3887159daa3a543dff5eb208cd4736dab"],"state_sha256":"38dc5309d8bb8e838ff3223ddaa1da06c09cabf06bd2a499f09506d43c6bef07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ze3xVMxrmn3ddzPBNG9/0ZxD2lL9cOhziwycIptMMmfEbgNZKhzoGn8WlCPTNs2Ew15DCecyTQF85Cx2/rq3AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T22:09:39.631581Z","bundle_sha256":"77ae7ec6afcde84620a4a0394c4c7371d006760461af2a934ebb631e3488975b"}}