{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:LSCNSG7R3F7NP4LLBOYHC4ZBWY","short_pith_number":"pith:LSCNSG7R","canonical_record":{"source":{"id":"cond-mat/0407065","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-07-02T13:08:25Z","cross_cats_sorted":[],"title_canon_sha256":"11ab656801b23e38e2d671a308201002a5ee61cf2e2e2bf29761639f90c8dd0b","abstract_canon_sha256":"f40b1d8b5623df448d4a7c4ffd7a4e687bc2b404ed4b6e44c212e891a80445ec"},"schema_version":"1.0"},"canonical_sha256":"5c84d91bf1d97ed7f16b0bb0717321b62182592e79d7ea5b277854fd6780f5e5","source":{"kind":"arxiv","id":"cond-mat/0407065","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0407065","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0407065v1","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0407065","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"LSCNSG7R3F7N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"LSCNSG7R3F7NP4LL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"LSCNSG7R","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:LSCNSG7R3F7NP4LLBOYHC4ZBWY","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0407065","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-07-02T13:08:25Z","cross_cats_sorted":[],"title_canon_sha256":"11ab656801b23e38e2d671a308201002a5ee61cf2e2e2bf29761639f90c8dd0b","abstract_canon_sha256":"f40b1d8b5623df448d4a7c4ffd7a4e687bc2b404ed4b6e44c212e891a80445ec"},"schema_version":"1.0"},"canonical_sha256":"5c84d91bf1d97ed7f16b0bb0717321b62182592e79d7ea5b277854fd6780f5e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:57.995834Z","signature_b64":"7Y15/MXMRwy6GI0RZVL/zPLQIbKBBthIYixVQ//iE1ZuscRHy8fJzsBSchBo/UvR7X5Nw7fB2Qi8K/WzzHtzBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c84d91bf1d97ed7f16b0bb0717321b62182592e79d7ea5b277854fd6780f5e5","last_reissued_at":"2026-05-18T01:39:57.995398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:57.995398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0407065","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":"2026-05-18T01:39:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bNKabRyncqT2JYixj+CCSux6a9tRxV4fuM5Na2yLuTjkcCdRJdhhROX1ByLXbNB5avRdNj3O6EtrUmrwwkCmCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:56:33.383176Z"},"content_sha256":"612e7aa62cff28e3c5b27702397e817f30b66f332a5cd0b9b86c3000fe593e97","schema_version":"1.0","event_id":"sha256:612e7aa62cff28e3c5b27702397e817f30b66f332a5cd0b9b86c3000fe593e97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:LSCNSG7R3F7NP4LLBOYHC4ZBWY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"A.S. Jensen, D.V. Fedorov, O. S{\\o}rensen, T. Sogo","submitted_at":"2004-07-02T13:08:25Z","abstract_excerpt":"We study two-body correlations for $N$ identical bosons by use of the hyperspherical adiabatic expansion method. We use the zero-range interaction and derive a transcendental equation determining the key ingredient of the hyperradial potential. The necessary renormalization is for both repulsive and attractive interactions achieved with an effective range expansion of the two-body phase-shifts. Our solutions including correlations provide the properties of Bose-Einstein condensates exemplified by stability conditions as established by mean-field Gross-Pitaevskii calculations. The many-body Efi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0407065","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":"2026-05-18T01:39:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YVbpk8SaNME60hLXp0zOJBKoTLtOfgIpvyLxFG9CL8jQDs3s9HAISGkHJFRgwjfiStn/OyZmTcQTlR5qKRmKBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T02:56:33.383540Z"},"content_sha256":"da1593cf7fdc17c8473f1abdddcb15c4eec20458f0495a3af6020ad20f1874dc","schema_version":"1.0","event_id":"sha256:da1593cf7fdc17c8473f1abdddcb15c4eec20458f0495a3af6020ad20f1874dc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY/bundle.json","state_url":"https://pith.science/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY/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":"2026-05-31T02:56:33Z","links":{"resolver":"https://pith.science/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY","bundle":"https://pith.science/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY/bundle.json","state":"https://pith.science/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LSCNSG7R3F7NP4LLBOYHC4ZBWY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:LSCNSG7R3F7NP4LLBOYHC4ZBWY","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":"f40b1d8b5623df448d4a7c4ffd7a4e687bc2b404ed4b6e44c212e891a80445ec","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-07-02T13:08:25Z","title_canon_sha256":"11ab656801b23e38e2d671a308201002a5ee61cf2e2e2bf29761639f90c8dd0b"},"schema_version":"1.0","source":{"id":"cond-mat/0407065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0407065","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0407065v1","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0407065","created_at":"2026-05-18T01:39:57Z"},{"alias_kind":"pith_short_12","alias_value":"LSCNSG7R3F7N","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"LSCNSG7R3F7NP4LL","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"LSCNSG7R","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:da1593cf7fdc17c8473f1abdddcb15c4eec20458f0495a3af6020ad20f1874dc","target":"graph","created_at":"2026-05-18T01:39:57Z","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 two-body correlations for $N$ identical bosons by use of the hyperspherical adiabatic expansion method. We use the zero-range interaction and derive a transcendental equation determining the key ingredient of the hyperradial potential. The necessary renormalization is for both repulsive and attractive interactions achieved with an effective range expansion of the two-body phase-shifts. Our solutions including correlations provide the properties of Bose-Einstein condensates exemplified by stability conditions as established by mean-field Gross-Pitaevskii calculations. The many-body Efi","authors_text":"A.S. Jensen, D.V. Fedorov, O. S{\\o}rensen, T. Sogo","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2004-07-02T13:08:25Z","title":"Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0407065","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":"sha256:612e7aa62cff28e3c5b27702397e817f30b66f332a5cd0b9b86c3000fe593e97","target":"record","created_at":"2026-05-18T01:39:57Z","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":"f40b1d8b5623df448d4a7c4ffd7a4e687bc2b404ed4b6e44c212e891a80445ec","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2004-07-02T13:08:25Z","title_canon_sha256":"11ab656801b23e38e2d671a308201002a5ee61cf2e2e2bf29761639f90c8dd0b"},"schema_version":"1.0","source":{"id":"cond-mat/0407065","kind":"arxiv","version":1}},"canonical_sha256":"5c84d91bf1d97ed7f16b0bb0717321b62182592e79d7ea5b277854fd6780f5e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5c84d91bf1d97ed7f16b0bb0717321b62182592e79d7ea5b277854fd6780f5e5","first_computed_at":"2026-05-18T01:39:57.995398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:57.995398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7Y15/MXMRwy6GI0RZVL/zPLQIbKBBthIYixVQ//iE1ZuscRHy8fJzsBSchBo/UvR7X5Nw7fB2Qi8K/WzzHtzBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:57.995834Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0407065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:612e7aa62cff28e3c5b27702397e817f30b66f332a5cd0b9b86c3000fe593e97","sha256:da1593cf7fdc17c8473f1abdddcb15c4eec20458f0495a3af6020ad20f1874dc"],"state_sha256":"57ce6b7aa6d8eaf67ae2cb148af318c249f8152d1c067199672b35e6c152d9ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRhni6a8t01hpdFc7NNqIKvU5MOr1V6QQwLjZMechXjHAIFLswLnV7LrDN1CciL/0sZykGbfhKIlSUhBOKzoDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T02:56:33.385422Z","bundle_sha256":"2e4c2a36942cfa78b30ba2a2eb6da88d6ad25b6e939b582df6ee3572e2b2bfc1"}}