{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:75EZG4AWTRCMSYJKKWRZAJHIUT","short_pith_number":"pith:75EZG4AW","canonical_record":{"source":{"id":"cond-mat/0607045","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-03T13:38:52Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"066ba863291b69a3830c7d02e5a38c952082bbd4a157b7f6947d0ac2656d93c6","abstract_canon_sha256":"9a6d9c2a98448d196bb1c03132e3453164a6a080db0e1c388deb6fd36837c9e5"},"schema_version":"1.0"},"canonical_sha256":"ff499370169c44c9612a55a39024e8a4c3b66abf985cc3198cd3e3d858baa1b6","source":{"kind":"arxiv","id":"cond-mat/0607045","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607045","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607045v2","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607045","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"75EZG4AWTRCM","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"75EZG4AWTRCMSYJK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"75EZG4AW","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:75EZG4AWTRCMSYJKKWRZAJHIUT","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0607045","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-03T13:38:52Z","cross_cats_sorted":["cond-mat.supr-con"],"title_canon_sha256":"066ba863291b69a3830c7d02e5a38c952082bbd4a157b7f6947d0ac2656d93c6","abstract_canon_sha256":"9a6d9c2a98448d196bb1c03132e3453164a6a080db0e1c388deb6fd36837c9e5"},"schema_version":"1.0"},"canonical_sha256":"ff499370169c44c9612a55a39024e8a4c3b66abf985cc3198cd3e3d858baa1b6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:37.055532Z","signature_b64":"lTxdEQkrMjJXDjlIqK1eS84YD/7YqmIcirMEAf1dbpo6O+L1Q/tb0fIMRyTNy7OseJg5vRW23ax1sjBQ5IveBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff499370169c44c9612a55a39024e8a4c3b66abf985cc3198cd3e3d858baa1b6","last_reissued_at":"2026-05-18T02:37:37.055082Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:37.055082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0607045","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":"2026-05-18T02:37:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xWO3gTM7Kz/nSpFGTDnzWuxgJRBh9dvCXTlh8lD9uXc45WxU5IoaT+HeRfC+wqd5jFmaH25PvrJMtkNa7LO3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:01:20.348530Z"},"content_sha256":"285276960fb1960895176fe511a78ea62d513805f3a01ef6e39c6cb7f9bde62d","schema_version":"1.0","event_id":"sha256:285276960fb1960895176fe511a78ea62d513805f3a01ef6e39c6cb7f9bde62d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:75EZG4AWTRCMSYJKKWRZAJHIUT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bogoliubov theory of Feshbach molecules in the BEC-BCS crossover","license":"","headline":"","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. T. C. Stoof, M. W. J. Romans","submitted_at":"2006-07-03T13:38:52Z","abstract_excerpt":"We present the Bogoliubov theory for the Bose-Einstein condensation of Feshbach molecules in a balanced Fermi mixture. Because the Bogoliubov theory includes (Gaussian) fluctuations, we can in this manner accurately incorporate both the two-body and many-body aspects of the BEC-BCS crossover that occurs near a Feshbach resonance. We apply the theory in particular to the very broad Feshbach resonance in atomic Li-6 at a magnetic field of B_0 = 834 G and find good agreement with experiments in that case. The BEC-BCS crossover for more narrow Feshbach resonances is also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607045","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":"2026-05-18T02:37:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bs73vgX54kZrSUHbpp4H6pDd10eGRkcJ2YicduSuzBdswM7ms8rwA5uzo6LsH2yj6haaH0ymuXpHxzZ9MvbbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T14:01:20.348885Z"},"content_sha256":"725c96a1306f9b12f2a125846ff2bc0ab936b2f3eda99a1f0708390ed4cd0ddf","schema_version":"1.0","event_id":"sha256:725c96a1306f9b12f2a125846ff2bc0ab936b2f3eda99a1f0708390ed4cd0ddf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/75EZG4AWTRCMSYJKKWRZAJHIUT/bundle.json","state_url":"https://pith.science/pith/75EZG4AWTRCMSYJKKWRZAJHIUT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/75EZG4AWTRCMSYJKKWRZAJHIUT/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":"2026-06-03T14:01:20Z","links":{"resolver":"https://pith.science/pith/75EZG4AWTRCMSYJKKWRZAJHIUT","bundle":"https://pith.science/pith/75EZG4AWTRCMSYJKKWRZAJHIUT/bundle.json","state":"https://pith.science/pith/75EZG4AWTRCMSYJKKWRZAJHIUT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/75EZG4AWTRCMSYJKKWRZAJHIUT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:75EZG4AWTRCMSYJKKWRZAJHIUT","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":"9a6d9c2a98448d196bb1c03132e3453164a6a080db0e1c388deb6fd36837c9e5","cross_cats_sorted":["cond-mat.supr-con"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-03T13:38:52Z","title_canon_sha256":"066ba863291b69a3830c7d02e5a38c952082bbd4a157b7f6947d0ac2656d93c6"},"schema_version":"1.0","source":{"id":"cond-mat/0607045","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607045","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607045v2","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607045","created_at":"2026-05-18T02:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"75EZG4AWTRCM","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"75EZG4AWTRCMSYJK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"75EZG4AW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:725c96a1306f9b12f2a125846ff2bc0ab936b2f3eda99a1f0708390ed4cd0ddf","target":"graph","created_at":"2026-05-18T02:37:37Z","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 present the Bogoliubov theory for the Bose-Einstein condensation of Feshbach molecules in a balanced Fermi mixture. Because the Bogoliubov theory includes (Gaussian) fluctuations, we can in this manner accurately incorporate both the two-body and many-body aspects of the BEC-BCS crossover that occurs near a Feshbach resonance. We apply the theory in particular to the very broad Feshbach resonance in atomic Li-6 at a magnetic field of B_0 = 834 G and find good agreement with experiments in that case. The BEC-BCS crossover for more narrow Feshbach resonances is also discussed.","authors_text":"H. T. C. Stoof, M. W. J. Romans","cross_cats":["cond-mat.supr-con"],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-03T13:38:52Z","title":"Bogoliubov theory of Feshbach molecules in the BEC-BCS crossover"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607045","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":"sha256:285276960fb1960895176fe511a78ea62d513805f3a01ef6e39c6cb7f9bde62d","target":"record","created_at":"2026-05-18T02:37:37Z","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":"9a6d9c2a98448d196bb1c03132e3453164a6a080db0e1c388deb6fd36837c9e5","cross_cats_sorted":["cond-mat.supr-con"],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-03T13:38:52Z","title_canon_sha256":"066ba863291b69a3830c7d02e5a38c952082bbd4a157b7f6947d0ac2656d93c6"},"schema_version":"1.0","source":{"id":"cond-mat/0607045","kind":"arxiv","version":2}},"canonical_sha256":"ff499370169c44c9612a55a39024e8a4c3b66abf985cc3198cd3e3d858baa1b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff499370169c44c9612a55a39024e8a4c3b66abf985cc3198cd3e3d858baa1b6","first_computed_at":"2026-05-18T02:37:37.055082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:37.055082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lTxdEQkrMjJXDjlIqK1eS84YD/7YqmIcirMEAf1dbpo6O+L1Q/tb0fIMRyTNy7OseJg5vRW23ax1sjBQ5IveBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:37.055532Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0607045","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:285276960fb1960895176fe511a78ea62d513805f3a01ef6e39c6cb7f9bde62d","sha256:725c96a1306f9b12f2a125846ff2bc0ab936b2f3eda99a1f0708390ed4cd0ddf"],"state_sha256":"dd5285f93afdfea34ce535c8e3d699d99f4d3e9c1d1c52b5859ef71c5121b342"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PfVi6n1cEo21t6w7GinHwL7os2CgrYOghDlyl8BMBx/doTLkSlFvjlEz0gDLQhryrPgAk+8QIWe7JvLhpgjeAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T14:01:20.350851Z","bundle_sha256":"023bd896e94f34524ef369aa467a02e61bf197a2b642f8a6e0c78163013f914b"}}