{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MZU2ALVIH3IK7DNDLUBUZYSKCV","short_pith_number":"pith:MZU2ALVI","canonical_record":{"source":{"id":"1201.2962","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-13T21:50:44Z","cross_cats_sorted":["cond-mat.quant-gas","physics.atom-ph"],"title_canon_sha256":"ec0cc8986c3a11d3d67bd3e2f4685ab3848bb2e930c900d9caaa8d1b836d0349","abstract_canon_sha256":"7e8718854b24ffa7911e15b9cbb99528ab62ef5d22923d0ee9541a5263a3ba30"},"schema_version":"1.0"},"canonical_sha256":"6669a02ea83ed0af8da35d034ce24a154c2b83b385f0716070744142cc7ea4a3","source":{"kind":"arxiv","id":"1201.2962","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2962","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2962v2","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2962","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"pith_short_12","alias_value":"MZU2ALVIH3IK","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"MZU2ALVIH3IK7DND","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"MZU2ALVI","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MZU2ALVIH3IK7DNDLUBUZYSKCV","target":"record","payload":{"canonical_record":{"source":{"id":"1201.2962","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-13T21:50:44Z","cross_cats_sorted":["cond-mat.quant-gas","physics.atom-ph"],"title_canon_sha256":"ec0cc8986c3a11d3d67bd3e2f4685ab3848bb2e930c900d9caaa8d1b836d0349","abstract_canon_sha256":"7e8718854b24ffa7911e15b9cbb99528ab62ef5d22923d0ee9541a5263a3ba30"},"schema_version":"1.0"},"canonical_sha256":"6669a02ea83ed0af8da35d034ce24a154c2b83b385f0716070744142cc7ea4a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:50.823484Z","signature_b64":"PrbfMRdnt6sLPPxz1HX34VszkDv3Oe+gTY2Cl9hyiQWtFie4JQwDjRlnu8PE+lANP7EEiMXt632wAGhK8BalBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6669a02ea83ed0af8da35d034ce24a154c2b83b385f0716070744142cc7ea4a3","last_reissued_at":"2026-05-18T03:52:50.822588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:50.822588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.2962","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":"2026-05-18T03:52:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eBwW/iW4bzAhXLK0CIg3qSJXGNCxEJxuGeGI/WVsei1A695b660/koXxAF2pFO2BzZeaFmnEyeIkcKXjH5qrCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:33:31.400912Z"},"content_sha256":"3ed4f48d993644fd13f63d85522a7871caf591756a3f92189ede347766507937","schema_version":"1.0","event_id":"sha256:3ed4f48d993644fd13f63d85522a7871caf591756a3f92189ede347766507937"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MZU2ALVIH3IK7DNDLUBUZYSKCV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective renormalized multi-body interactions of harmonically confined ultracold neutral bosons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"D. Blume, E. Tiesinga, P.R. Johnson, W.F. Flynn, X. Y. Yin","submitted_at":"2012-01-13T21:50:44Z","abstract_excerpt":"We calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and energy-dependent pseudopotential. We work to third-order in the scattering length a defined at zero collision energy, which is necessary to obtain both the leading-order effective 4-body interaction and consistently include finite-range corrections for realistic 2-body interactions. The leading-order, effective 3- and 4-body interaction energies are U3 = -(0.85576.."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2962","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":"2026-05-18T03:52:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SpQoGsDHIzyPtcX/8XCweIjwdk+tTkYvTfu5BLqoP/aTTkLsMMPtPEDYcy991kk0JDlxhIeqSsBU1EoNBOCJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:33:31.401246Z"},"content_sha256":"7308bf52f2431031404fa51db0203a8a81c1069e307810093750dc175d83ef8c","schema_version":"1.0","event_id":"sha256:7308bf52f2431031404fa51db0203a8a81c1069e307810093750dc175d83ef8c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV/bundle.json","state_url":"https://pith.science/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV/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":"2026-06-02T02:33:31Z","links":{"resolver":"https://pith.science/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV","bundle":"https://pith.science/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV/bundle.json","state":"https://pith.science/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MZU2ALVIH3IK7DNDLUBUZYSKCV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MZU2ALVIH3IK7DNDLUBUZYSKCV","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":"7e8718854b24ffa7911e15b9cbb99528ab62ef5d22923d0ee9541a5263a3ba30","cross_cats_sorted":["cond-mat.quant-gas","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-13T21:50:44Z","title_canon_sha256":"ec0cc8986c3a11d3d67bd3e2f4685ab3848bb2e930c900d9caaa8d1b836d0349"},"schema_version":"1.0","source":{"id":"1201.2962","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2962","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2962v2","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2962","created_at":"2026-05-18T03:52:50Z"},{"alias_kind":"pith_short_12","alias_value":"MZU2ALVIH3IK","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"MZU2ALVIH3IK7DND","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"MZU2ALVI","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:7308bf52f2431031404fa51db0203a8a81c1069e307810093750dc175d83ef8c","target":"graph","created_at":"2026-05-18T03:52:50Z","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 calculate the renormalized effective 2-, 3-, and 4-body interactions for N neutral ultracold bosons in the ground state of an isotropic harmonic trap, assuming 2-body interactions modeled with the combination of a zero-range and energy-dependent pseudopotential. We work to third-order in the scattering length a defined at zero collision energy, which is necessary to obtain both the leading-order effective 4-body interaction and consistently include finite-range corrections for realistic 2-body interactions. The leading-order, effective 3- and 4-body interaction energies are U3 = -(0.85576..","authors_text":"D. Blume, E. Tiesinga, P.R. Johnson, W.F. Flynn, X. Y. Yin","cross_cats":["cond-mat.quant-gas","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-13T21:50:44Z","title":"Effective renormalized multi-body interactions of harmonically confined ultracold neutral bosons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2962","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":"sha256:3ed4f48d993644fd13f63d85522a7871caf591756a3f92189ede347766507937","target":"record","created_at":"2026-05-18T03:52:50Z","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":"7e8718854b24ffa7911e15b9cbb99528ab62ef5d22923d0ee9541a5263a3ba30","cross_cats_sorted":["cond-mat.quant-gas","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-01-13T21:50:44Z","title_canon_sha256":"ec0cc8986c3a11d3d67bd3e2f4685ab3848bb2e930c900d9caaa8d1b836d0349"},"schema_version":"1.0","source":{"id":"1201.2962","kind":"arxiv","version":2}},"canonical_sha256":"6669a02ea83ed0af8da35d034ce24a154c2b83b385f0716070744142cc7ea4a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6669a02ea83ed0af8da35d034ce24a154c2b83b385f0716070744142cc7ea4a3","first_computed_at":"2026-05-18T03:52:50.822588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:50.822588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PrbfMRdnt6sLPPxz1HX34VszkDv3Oe+gTY2Cl9hyiQWtFie4JQwDjRlnu8PE+lANP7EEiMXt632wAGhK8BalBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:50.823484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2962","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ed4f48d993644fd13f63d85522a7871caf591756a3f92189ede347766507937","sha256:7308bf52f2431031404fa51db0203a8a81c1069e307810093750dc175d83ef8c"],"state_sha256":"6fd93b92fc8f9aa0b69daa79982268e9e6fcc1ff2111d7e62bcbe0d38f761a33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MOV71xrnY2zZkeX09QYnY05cgFVXFGtPNAIizQl0kV2/t3mZXrizphpAucM3Lci63HBq5gZyzbXCcFnez+QFDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:33:31.403149Z","bundle_sha256":"71e8595d9086147d7685f3a64e05a1a75084902c15c41e70cf81d330924e4d4e"}}