{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:DAGQHNS3JU57YYCTZN3UV4JJQX","short_pith_number":"pith:DAGQHNS3","canonical_record":{"source":{"id":"1611.08157","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-24T11:49:14Z","cross_cats_sorted":["cond-mat.mes-hall","math.MP","math.SP","physics.class-ph","quant-ph"],"title_canon_sha256":"fe235fad3493e97435bd538ad4705f55cc3a5b019974536ff10093e52b624796","abstract_canon_sha256":"93175c2d5ab319295a67ab5c11f0f766e04c25ebf12009a5277ff3e7105729f3"},"schema_version":"1.0"},"canonical_sha256":"180d03b65b4d3bfc6053cb774af12985f84f4176e477c2ca74913c18f9ea1b5b","source":{"kind":"arxiv","id":"1611.08157","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08157","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08157v3","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08157","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"DAGQHNS3JU57","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"DAGQHNS3JU57YYCT","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"DAGQHNS3","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:DAGQHNS3JU57YYCTZN3UV4JJQX","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08157","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-24T11:49:14Z","cross_cats_sorted":["cond-mat.mes-hall","math.MP","math.SP","physics.class-ph","quant-ph"],"title_canon_sha256":"fe235fad3493e97435bd538ad4705f55cc3a5b019974536ff10093e52b624796","abstract_canon_sha256":"93175c2d5ab319295a67ab5c11f0f766e04c25ebf12009a5277ff3e7105729f3"},"schema_version":"1.0"},"canonical_sha256":"180d03b65b4d3bfc6053cb774af12985f84f4176e477c2ca74913c18f9ea1b5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:53.948558Z","signature_b64":"S9EPSlLogRikyyZPKfv+HVeDF5uiHYYtD5rqFK7rkzgMykYWcigYwGV6rY41Zixlia52xRFCPlTX/N7yhjXuAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"180d03b65b4d3bfc6053cb774af12985f84f4176e477c2ca74913c18f9ea1b5b","last_reissued_at":"2026-05-18T00:40:53.948113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:53.948113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08157","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":"2026-05-18T00:40:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"in7vvJAmyhlWbndzyXa65GyjzGKo4imc9u3VEscS+3140G2qEiXr+pHuOqytc9xxq1cIx0D5OZ9Bx5HBYkemDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T13:41:29.849990Z"},"content_sha256":"2ec90d0263ad64840d9c4aaa44c0e4f8fa6a674446e56b96cee27ede01038bb1","schema_version":"1.0","event_id":"sha256:2ec90d0263ad64840d9c4aaa44c0e4f8fa6a674446e56b96cee27ede01038bb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:DAGQHNS3JU57YYCTZN3UV4JJQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-body problem in 3D space: ground state, (quasi)-exact-solvability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","math.MP","math.SP","physics.class-ph","quant-ph"],"primary_cat":"math-ph","authors_text":"Adrian M Escobar-Ruiz, Alexander V Turbiner, Willard Miller Jr.","submitted_at":"2016-11-24T11:49:14Z","abstract_excerpt":"We study aspects of the quantum and classical dynamics of a $3$-body system in 3D space with interaction depending only on mutual distances. The study is restricted to solutions in the space of relative motion which are functions of mutual distances only. It is shown that the ground state (and some other states) in the quantum case and the planar trajectories in the classical case are of this type. The quantum (and classical) system for which these states are eigenstates is found and its Hamiltonian is constructed. It corresponds to a three-dimensional quantum particle moving in a curved space"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08157","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":"2026-05-18T00:40:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ipF3BnpqDO+KNm7y0a4+oFjYjoYQCdgz3GAkCve8vnjKj3Xn2SSBlMfhgpLUUk6h4j7AAudV7m4TixU7J/tgCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T13:41:29.850610Z"},"content_sha256":"5288e5109cb8496314a55fef0af8e90803c6ca8a7095ef78b4bb5cd692fd9eaf","schema_version":"1.0","event_id":"sha256:5288e5109cb8496314a55fef0af8e90803c6ca8a7095ef78b4bb5cd692fd9eaf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DAGQHNS3JU57YYCTZN3UV4JJQX/bundle.json","state_url":"https://pith.science/pith/DAGQHNS3JU57YYCTZN3UV4JJQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DAGQHNS3JU57YYCTZN3UV4JJQX/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":"2026-06-07T13:41:29Z","links":{"resolver":"https://pith.science/pith/DAGQHNS3JU57YYCTZN3UV4JJQX","bundle":"https://pith.science/pith/DAGQHNS3JU57YYCTZN3UV4JJQX/bundle.json","state":"https://pith.science/pith/DAGQHNS3JU57YYCTZN3UV4JJQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DAGQHNS3JU57YYCTZN3UV4JJQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DAGQHNS3JU57YYCTZN3UV4JJQX","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":"93175c2d5ab319295a67ab5c11f0f766e04c25ebf12009a5277ff3e7105729f3","cross_cats_sorted":["cond-mat.mes-hall","math.MP","math.SP","physics.class-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-24T11:49:14Z","title_canon_sha256":"fe235fad3493e97435bd538ad4705f55cc3a5b019974536ff10093e52b624796"},"schema_version":"1.0","source":{"id":"1611.08157","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08157","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08157v3","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08157","created_at":"2026-05-18T00:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"DAGQHNS3JU57","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"DAGQHNS3JU57YYCT","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"DAGQHNS3","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:5288e5109cb8496314a55fef0af8e90803c6ca8a7095ef78b4bb5cd692fd9eaf","target":"graph","created_at":"2026-05-18T00:40:53Z","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 aspects of the quantum and classical dynamics of a $3$-body system in 3D space with interaction depending only on mutual distances. The study is restricted to solutions in the space of relative motion which are functions of mutual distances only. It is shown that the ground state (and some other states) in the quantum case and the planar trajectories in the classical case are of this type. The quantum (and classical) system for which these states are eigenstates is found and its Hamiltonian is constructed. It corresponds to a three-dimensional quantum particle moving in a curved space","authors_text":"Adrian M Escobar-Ruiz, Alexander V Turbiner, Willard Miller Jr.","cross_cats":["cond-mat.mes-hall","math.MP","math.SP","physics.class-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-24T11:49:14Z","title":"Three-body problem in 3D space: ground state, (quasi)-exact-solvability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08157","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":"sha256:2ec90d0263ad64840d9c4aaa44c0e4f8fa6a674446e56b96cee27ede01038bb1","target":"record","created_at":"2026-05-18T00:40:53Z","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":"93175c2d5ab319295a67ab5c11f0f766e04c25ebf12009a5277ff3e7105729f3","cross_cats_sorted":["cond-mat.mes-hall","math.MP","math.SP","physics.class-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-11-24T11:49:14Z","title_canon_sha256":"fe235fad3493e97435bd538ad4705f55cc3a5b019974536ff10093e52b624796"},"schema_version":"1.0","source":{"id":"1611.08157","kind":"arxiv","version":3}},"canonical_sha256":"180d03b65b4d3bfc6053cb774af12985f84f4176e477c2ca74913c18f9ea1b5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"180d03b65b4d3bfc6053cb774af12985f84f4176e477c2ca74913c18f9ea1b5b","first_computed_at":"2026-05-18T00:40:53.948113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:53.948113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S9EPSlLogRikyyZPKfv+HVeDF5uiHYYtD5rqFK7rkzgMykYWcigYwGV6rY41Zixlia52xRFCPlTX/N7yhjXuAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:53.948558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08157","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2ec90d0263ad64840d9c4aaa44c0e4f8fa6a674446e56b96cee27ede01038bb1","sha256:5288e5109cb8496314a55fef0af8e90803c6ca8a7095ef78b4bb5cd692fd9eaf"],"state_sha256":"2d2952436dd136b7b2f9275fcad1657e66047e1104baf5b1493c4af96bb02417"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2KDiGDcZrZwFZGqc8dxajcoAzJ2XVhJNElapwZqea+bDZnsv/JF4llMJyGCdf3EnpCxADDOJ5z61VK1cg2EUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T13:41:29.854333Z","bundle_sha256":"26bcf68e5e9fd6c20fc116fea4a6bff6277243b5e613209177efb30057147df9"}}