{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:YWDXYS354YSTTRY7KQZYGOE3NV","short_pith_number":"pith:YWDXYS35","canonical_record":{"source":{"id":"1702.04469","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-15T06:03:20Z","cross_cats_sorted":[],"title_canon_sha256":"7722b8e49a9193d4a542283f570e970f5371cf09aa9b32863473b696bc1b9382","abstract_canon_sha256":"885737b5783a11884cf8d69e84f5cf4fb489d214545f2467e7a1e5fdc50b2269"},"schema_version":"1.0"},"canonical_sha256":"c5877c4b7de62539c71f543383389b6d57e69e3432f00c2172056040f97f8d5f","source":{"kind":"arxiv","id":"1702.04469","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04469","created_at":"2026-05-18T00:47:19Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04469v1","created_at":"2026-05-18T00:47:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04469","created_at":"2026-05-18T00:47:19Z"},{"alias_kind":"pith_short_12","alias_value":"YWDXYS354YST","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YWDXYS354YSTTRY7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YWDXYS35","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:YWDXYS354YSTTRY7KQZYGOE3NV","target":"record","payload":{"canonical_record":{"source":{"id":"1702.04469","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-15T06:03:20Z","cross_cats_sorted":[],"title_canon_sha256":"7722b8e49a9193d4a542283f570e970f5371cf09aa9b32863473b696bc1b9382","abstract_canon_sha256":"885737b5783a11884cf8d69e84f5cf4fb489d214545f2467e7a1e5fdc50b2269"},"schema_version":"1.0"},"canonical_sha256":"c5877c4b7de62539c71f543383389b6d57e69e3432f00c2172056040f97f8d5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:19.771623Z","signature_b64":"Q1IkteVSX6RUESVSFek8YgweDJFx5T/MUkzTIgsRGD1OFpTJpOpyBAXhS4ZMaaeADt423/z3cIoHpbpSLcntAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5877c4b7de62539c71f543383389b6d57e69e3432f00c2172056040f97f8d5f","last_reissued_at":"2026-05-18T00:47:19.770836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:19.770836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.04469","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKuJb+VjN94YKQECmB9Eo6P6Milsd1nqSy9mna6GH8BYBKEb44+w1tSjFviHErJ/4IaXGjXh4UCr6jsiVJt7Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:52:06.563470Z"},"content_sha256":"c1e3e93108182dd470bc276ac0863983e9d835806a2d1263d2a31cc2058af9c8","schema_version":"1.0","event_id":"sha256:c1e3e93108182dd470bc276ac0863983e9d835806a2d1263d2a31cc2058af9c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:YWDXYS354YSTTRY7KQZYGOE3NV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Application of conditional shape invariance symmetry to obtain the eigen-spectrum of the mixed potential V (r) = ar + br^2 + c/r + l(l+1)/r^2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Barnali Chakrabarti, Sudesna Bera, Tapan Kumar Das","submitted_at":"2017-02-15T06:03:20Z","abstract_excerpt":"We show that the conditional shape invariance symmetry can be used as a very powerful tool to calculate the eigenvalues of the mixed potential V (r) = ar + br^2 +c/r + l(l+1)/r^2 for a restricted set of potential parameters. The energy for any state can be obtained algebraically, albeit for a severely restricted set of potential parameters. We also indicate that each member of the hierarchy of Hamiltonians is basically conditionally translational shape invariant. Comparison of analytically obtained results with numerical results is also presented. Our present methodology can be taken as an alt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04469","kind":"arxiv","version":1},"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":"2026-05-18T00:47:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bxWWe+PeyHxJO29PStcPyaO3NbUG68dmViPRlumhXHuy3tJZJUgw1DJGCJOzFqD6ivJQrKW93iEdER5eSlGtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:52:06.563843Z"},"content_sha256":"e504dc0aaaf735a97746f5afb842dfe45cd9dc1ce330c7f09ff07231e7ba1413","schema_version":"1.0","event_id":"sha256:e504dc0aaaf735a97746f5afb842dfe45cd9dc1ce330c7f09ff07231e7ba1413"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWDXYS354YSTTRY7KQZYGOE3NV/bundle.json","state_url":"https://pith.science/pith/YWDXYS354YSTTRY7KQZYGOE3NV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWDXYS354YSTTRY7KQZYGOE3NV/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":"2026-06-01T14:52:06Z","links":{"resolver":"https://pith.science/pith/YWDXYS354YSTTRY7KQZYGOE3NV","bundle":"https://pith.science/pith/YWDXYS354YSTTRY7KQZYGOE3NV/bundle.json","state":"https://pith.science/pith/YWDXYS354YSTTRY7KQZYGOE3NV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWDXYS354YSTTRY7KQZYGOE3NV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YWDXYS354YSTTRY7KQZYGOE3NV","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":"885737b5783a11884cf8d69e84f5cf4fb489d214545f2467e7a1e5fdc50b2269","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-15T06:03:20Z","title_canon_sha256":"7722b8e49a9193d4a542283f570e970f5371cf09aa9b32863473b696bc1b9382"},"schema_version":"1.0","source":{"id":"1702.04469","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04469","created_at":"2026-05-18T00:47:19Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04469v1","created_at":"2026-05-18T00:47:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04469","created_at":"2026-05-18T00:47:19Z"},{"alias_kind":"pith_short_12","alias_value":"YWDXYS354YST","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YWDXYS354YSTTRY7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YWDXYS35","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:e504dc0aaaf735a97746f5afb842dfe45cd9dc1ce330c7f09ff07231e7ba1413","target":"graph","created_at":"2026-05-18T00:47:19Z","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 show that the conditional shape invariance symmetry can be used as a very powerful tool to calculate the eigenvalues of the mixed potential V (r) = ar + br^2 +c/r + l(l+1)/r^2 for a restricted set of potential parameters. The energy for any state can be obtained algebraically, albeit for a severely restricted set of potential parameters. We also indicate that each member of the hierarchy of Hamiltonians is basically conditionally translational shape invariant. Comparison of analytically obtained results with numerical results is also presented. Our present methodology can be taken as an alt","authors_text":"Barnali Chakrabarti, Sudesna Bera, Tapan Kumar Das","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-15T06:03:20Z","title":"Application of conditional shape invariance symmetry to obtain the eigen-spectrum of the mixed potential V (r) = ar + br^2 + c/r + l(l+1)/r^2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04469","kind":"arxiv","version":1},"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:c1e3e93108182dd470bc276ac0863983e9d835806a2d1263d2a31cc2058af9c8","target":"record","created_at":"2026-05-18T00:47:19Z","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":"885737b5783a11884cf8d69e84f5cf4fb489d214545f2467e7a1e5fdc50b2269","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-02-15T06:03:20Z","title_canon_sha256":"7722b8e49a9193d4a542283f570e970f5371cf09aa9b32863473b696bc1b9382"},"schema_version":"1.0","source":{"id":"1702.04469","kind":"arxiv","version":1}},"canonical_sha256":"c5877c4b7de62539c71f543383389b6d57e69e3432f00c2172056040f97f8d5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5877c4b7de62539c71f543383389b6d57e69e3432f00c2172056040f97f8d5f","first_computed_at":"2026-05-18T00:47:19.770836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:19.770836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q1IkteVSX6RUESVSFek8YgweDJFx5T/MUkzTIgsRGD1OFpTJpOpyBAXhS4ZMaaeADt423/z3cIoHpbpSLcntAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:19.771623Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04469","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1e3e93108182dd470bc276ac0863983e9d835806a2d1263d2a31cc2058af9c8","sha256:e504dc0aaaf735a97746f5afb842dfe45cd9dc1ce330c7f09ff07231e7ba1413"],"state_sha256":"89bb73289e49a577cb915e88e73a1a99aa5a45b1ab00c9fcea445681274779c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JTbHpH7lrA/lLsw3YG25bt05fNe4cHAezcEeZzcjgIDjnimPdxFHxncyYsghGE5FACANgNZjkTtfmgiaXEJbCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:52:06.565862Z","bundle_sha256":"3652da3f3efa40317f4920aa6ba791dbdfd7c07b471ea65aedda88e52e444271"}}