{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:Z4HZYGWG474RQ76FG534C3SVLL","short_pith_number":"pith:Z4HZYGWG","canonical_record":{"source":{"id":"hep-th/9604109","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-04-19T05:05:40Z","cross_cats_sorted":[],"title_canon_sha256":"e20f4a0b7df1b14150a394b08790c53c22656421f0d3e7eece4e5a617f219506","abstract_canon_sha256":"b6f37ce1cc4f1753b316807cc32aeafc73436320ac0eb63f76a75eb4aed6f689"},"schema_version":"1.0"},"canonical_sha256":"cf0f9c1ac6e7f9187fc53777c16e555aef293217e873401401ccccbc34950027","source":{"kind":"arxiv","id":"hep-th/9604109","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9604109","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9604109v1","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9604109","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"Z4HZYGWG474R","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"Z4HZYGWG474RQ76F","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"Z4HZYGWG","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:Z4HZYGWG474RQ76FG534C3SVLL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9604109","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-04-19T05:05:40Z","cross_cats_sorted":[],"title_canon_sha256":"e20f4a0b7df1b14150a394b08790c53c22656421f0d3e7eece4e5a617f219506","abstract_canon_sha256":"b6f37ce1cc4f1753b316807cc32aeafc73436320ac0eb63f76a75eb4aed6f689"},"schema_version":"1.0"},"canonical_sha256":"cf0f9c1ac6e7f9187fc53777c16e555aef293217e873401401ccccbc34950027","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:38.137833Z","signature_b64":"AsY4HFYYqz0hmq0aHCguC1qSGvSrp/2uholihgJFILNgaYBUA6wUMfVcRmuQ0NiHpy3sSNjnSpAPZPewGmQfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf0f9c1ac6e7f9187fc53777c16e555aef293217e873401401ccccbc34950027","last_reissued_at":"2026-05-18T01:38:38.137273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:38.137273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9604109","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":"2026-05-18T01:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t/4Umqi5VkIP+oSu1unNWD/ZvLQ7cWY1qGL+OyRNGSGJ4K4QMSPfOm5LrORIp6IZfTU71xCNW+0G3NOpyVC8Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:08:37.555678Z"},"content_sha256":"eee192b54bb57673d818acd9257ac5b74c3c42fffb11b9c951be8cd744bfbc74","schema_version":"1.0","event_id":"sha256:eee192b54bb57673d818acd9257ac5b74c3c42fffb11b9c951be8cd744bfbc74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:Z4HZYGWG474RQ76FG534C3SVLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Exactly and Conditionally Exactly Solvable N-Body Problems in One Dimension","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Nagaraja Kumar, N. Gurappa, Prasanta. K. Panigrahi","submitted_at":"1996-04-19T05:05:40Z","abstract_excerpt":"We study a class of Calogero-Sutherland type one dimensional N-body quantum mechanical systems, with potentials given by $$ V( x_1, x_2, \\cdots x_N) = \\sum_{i <j} {g \\over {(x_i - x_j)^2}} - \\frac{g^{\\prime}}{\\sum_{i<j}(x_i - x_j)^2} + U(\\sqrt{\\sum_{i<j}(x_i - x_j)^2}),$$ where $U(\\sqrt{\\sum_{i<j}(x_i - x_j)^2})$'s are of specific form. It is shown that, only for a few choices of $U$, the eigenvalue problems can be solved {\\it exactly}, for arbitrary $g^{\\prime}$. The eigen spectra of these Hamiltonians, when $g^{\\prime} \\ne 0$, are non-degenerate and the scattering phase shifts are found to b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9604109","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":"2026-05-18T01:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Kec71/wuTvZJamrMMs2OsWR28rp8w/dZkleHognskm7o9J5k2dv5z9K9x3skA/snmnHLtF3WEyIADzBmkWksAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:08:37.556296Z"},"content_sha256":"da3cc13a26dd7bb37597f11f0fc28adc92d01cc2419cffc1d16226bd08905dbe","schema_version":"1.0","event_id":"sha256:da3cc13a26dd7bb37597f11f0fc28adc92d01cc2419cffc1d16226bd08905dbe"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z4HZYGWG474RQ76FG534C3SVLL/bundle.json","state_url":"https://pith.science/pith/Z4HZYGWG474RQ76FG534C3SVLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z4HZYGWG474RQ76FG534C3SVLL/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":"2026-05-25T22:08:37Z","links":{"resolver":"https://pith.science/pith/Z4HZYGWG474RQ76FG534C3SVLL","bundle":"https://pith.science/pith/Z4HZYGWG474RQ76FG534C3SVLL/bundle.json","state":"https://pith.science/pith/Z4HZYGWG474RQ76FG534C3SVLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z4HZYGWG474RQ76FG534C3SVLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:Z4HZYGWG474RQ76FG534C3SVLL","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":"b6f37ce1cc4f1753b316807cc32aeafc73436320ac0eb63f76a75eb4aed6f689","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-04-19T05:05:40Z","title_canon_sha256":"e20f4a0b7df1b14150a394b08790c53c22656421f0d3e7eece4e5a617f219506"},"schema_version":"1.0","source":{"id":"hep-th/9604109","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9604109","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9604109v1","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9604109","created_at":"2026-05-18T01:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"Z4HZYGWG474R","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"Z4HZYGWG474RQ76F","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"Z4HZYGWG","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:da3cc13a26dd7bb37597f11f0fc28adc92d01cc2419cffc1d16226bd08905dbe","target":"graph","created_at":"2026-05-18T01:38:38Z","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 study a class of Calogero-Sutherland type one dimensional N-body quantum mechanical systems, with potentials given by $$ V( x_1, x_2, \\cdots x_N) = \\sum_{i <j} {g \\over {(x_i - x_j)^2}} - \\frac{g^{\\prime}}{\\sum_{i<j}(x_i - x_j)^2} + U(\\sqrt{\\sum_{i<j}(x_i - x_j)^2}),$$ where $U(\\sqrt{\\sum_{i<j}(x_i - x_j)^2})$'s are of specific form. It is shown that, only for a few choices of $U$, the eigenvalue problems can be solved {\\it exactly}, for arbitrary $g^{\\prime}$. The eigen spectra of these Hamiltonians, when $g^{\\prime} \\ne 0$, are non-degenerate and the scattering phase shifts are found to b","authors_text":"C. Nagaraja Kumar, N. Gurappa, Prasanta. K. Panigrahi","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-04-19T05:05:40Z","title":"New Exactly and Conditionally Exactly Solvable N-Body Problems in One Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9604109","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:eee192b54bb57673d818acd9257ac5b74c3c42fffb11b9c951be8cd744bfbc74","target":"record","created_at":"2026-05-18T01:38:38Z","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":"b6f37ce1cc4f1753b316807cc32aeafc73436320ac0eb63f76a75eb4aed6f689","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-04-19T05:05:40Z","title_canon_sha256":"e20f4a0b7df1b14150a394b08790c53c22656421f0d3e7eece4e5a617f219506"},"schema_version":"1.0","source":{"id":"hep-th/9604109","kind":"arxiv","version":1}},"canonical_sha256":"cf0f9c1ac6e7f9187fc53777c16e555aef293217e873401401ccccbc34950027","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf0f9c1ac6e7f9187fc53777c16e555aef293217e873401401ccccbc34950027","first_computed_at":"2026-05-18T01:38:38.137273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:38.137273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AsY4HFYYqz0hmq0aHCguC1qSGvSrp/2uholihgJFILNgaYBUA6wUMfVcRmuQ0NiHpy3sSNjnSpAPZPewGmQfDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:38.137833Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9604109","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eee192b54bb57673d818acd9257ac5b74c3c42fffb11b9c951be8cd744bfbc74","sha256:da3cc13a26dd7bb37597f11f0fc28adc92d01cc2419cffc1d16226bd08905dbe"],"state_sha256":"afa8d66d04349965432b15c117865ee2fadc79b98231088cc4d50b5d7d72401d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aFseZ6TnuLY+1/cHb+OwITaI0klj/fmNDothkv5pU254gNXzk4Pfds07BdO8+PlrVlX3p+ShuLxBq9fzKDSxCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:08:37.559185Z","bundle_sha256":"397b18164a0927d317397daa8b2a0f9cb64c13ab23fff5ec326481ebe3842b35"}}