{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VJIXGYOK3A5H7WMB5FLUFTEDA2","short_pith_number":"pith:VJIXGYOK","canonical_record":{"source":{"id":"1507.03174","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-07-12T00:55:08Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"79ca6032284377d1b7793063f235173f2e0112c6a004d4159a1761e84855291f","abstract_canon_sha256":"21452ece6fc6225503dfe4b22fa65ff6e128c5f38f99eb03f7f3910b09ef60d2"},"schema_version":"1.0"},"canonical_sha256":"aa517361cad83a7fd981e95742cc8306aee370b977353b8b0a9ed38a440160c8","source":{"kind":"arxiv","id":"1507.03174","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03174","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03174v3","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03174","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"VJIXGYOK3A5H","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VJIXGYOK3A5H7WMB","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VJIXGYOK","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VJIXGYOK3A5H7WMB5FLUFTEDA2","target":"record","payload":{"canonical_record":{"source":{"id":"1507.03174","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-07-12T00:55:08Z","cross_cats_sorted":["physics.atom-ph","quant-ph"],"title_canon_sha256":"79ca6032284377d1b7793063f235173f2e0112c6a004d4159a1761e84855291f","abstract_canon_sha256":"21452ece6fc6225503dfe4b22fa65ff6e128c5f38f99eb03f7f3910b09ef60d2"},"schema_version":"1.0"},"canonical_sha256":"aa517361cad83a7fd981e95742cc8306aee370b977353b8b0a9ed38a440160c8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:08.335708Z","signature_b64":"82FySED1Dvrd78JAw8dOtKzOcatkhTwlAdPjwU2JzwxZRyszQueXwDyRstqaRDpfvhMqYFjulj/kDM22UuAiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa517361cad83a7fd981e95742cc8306aee370b977353b8b0a9ed38a440160c8","last_reissued_at":"2026-05-18T01:23:08.335127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:08.335127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.03174","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":"2026-05-18T01:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MK3Viz8WsI4W+KvvPQM79Te+3bbpoa3P/3/J6XA6H+CHexR7Vj/Pt5FCKyVsj4WgTxzO6Ivd8WTyUrqQ7FJsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:18:36.119593Z"},"content_sha256":"65db8e08cabcd8e2b7408ea58b300f64a3c4ce8c06cb48d54306b6609d225a6c","schema_version":"1.0","event_id":"sha256:65db8e08cabcd8e2b7408ea58b300f64a3c4ce8c06cb48d54306b6609d225a6c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VJIXGYOK3A5H7WMB5FLUFTEDA2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Crossover between few and many fermions in a harmonic trap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Maciej Lewenstein, Micha{\\l} Lesiuk, Micha{\\l} Przybytek, Micha{\\l} Tomza, Monika Musia{\\l}, Pietro Massignan, Robert Moszynski, Tomasz Grining","submitted_at":"2015-07-12T00:55:08Z","abstract_excerpt":"The properties of a balanced two-component Fermi gas in a one-dimensional harmonic trap are studied by means of the coupled cluster method. For few fermions we recover the results of exact diagonalization, yet with this method we are able to study much larger systems. We compute the energy, the chemical potential, the pairing gap, and the density profile of the trapped clouds, smoothly mapping the crossover between the few-body and many-body limits. The energy is found to converge surprisingly rapidly to the many-body result for every value of the interaction strength. Many more particles are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03174","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":"2026-05-18T01:23:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M9R/CJZLL/1oysqB/1362kCtOTldoCGUIC2nKoxoM3BtmhQHrPKXN2A5ThX6NTJX+WrJwKc3kEeRrBqWKn8AAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T17:18:36.119939Z"},"content_sha256":"be5211b4d66ccaf377701b6cbfee445fe3d2c1ee12139f11b947aab52a190bb7","schema_version":"1.0","event_id":"sha256:be5211b4d66ccaf377701b6cbfee445fe3d2c1ee12139f11b947aab52a190bb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2/bundle.json","state_url":"https://pith.science/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2/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":"2026-06-22T17:18:36Z","links":{"resolver":"https://pith.science/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2","bundle":"https://pith.science/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2/bundle.json","state":"https://pith.science/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VJIXGYOK3A5H7WMB5FLUFTEDA2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VJIXGYOK3A5H7WMB5FLUFTEDA2","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":"21452ece6fc6225503dfe4b22fa65ff6e128c5f38f99eb03f7f3910b09ef60d2","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-07-12T00:55:08Z","title_canon_sha256":"79ca6032284377d1b7793063f235173f2e0112c6a004d4159a1761e84855291f"},"schema_version":"1.0","source":{"id":"1507.03174","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.03174","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"arxiv_version","alias_value":"1507.03174v3","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.03174","created_at":"2026-05-18T01:23:08Z"},{"alias_kind":"pith_short_12","alias_value":"VJIXGYOK3A5H","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VJIXGYOK3A5H7WMB","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VJIXGYOK","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:be5211b4d66ccaf377701b6cbfee445fe3d2c1ee12139f11b947aab52a190bb7","target":"graph","created_at":"2026-05-18T01:23:08Z","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":"The properties of a balanced two-component Fermi gas in a one-dimensional harmonic trap are studied by means of the coupled cluster method. For few fermions we recover the results of exact diagonalization, yet with this method we are able to study much larger systems. We compute the energy, the chemical potential, the pairing gap, and the density profile of the trapped clouds, smoothly mapping the crossover between the few-body and many-body limits. The energy is found to converge surprisingly rapidly to the many-body result for every value of the interaction strength. Many more particles are ","authors_text":"Maciej Lewenstein, Micha{\\l} Lesiuk, Micha{\\l} Przybytek, Micha{\\l} Tomza, Monika Musia{\\l}, Pietro Massignan, Robert Moszynski, Tomasz Grining","cross_cats":["physics.atom-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-07-12T00:55:08Z","title":"Crossover between few and many fermions in a harmonic trap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.03174","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":"sha256:65db8e08cabcd8e2b7408ea58b300f64a3c4ce8c06cb48d54306b6609d225a6c","target":"record","created_at":"2026-05-18T01:23:08Z","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":"21452ece6fc6225503dfe4b22fa65ff6e128c5f38f99eb03f7f3910b09ef60d2","cross_cats_sorted":["physics.atom-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-07-12T00:55:08Z","title_canon_sha256":"79ca6032284377d1b7793063f235173f2e0112c6a004d4159a1761e84855291f"},"schema_version":"1.0","source":{"id":"1507.03174","kind":"arxiv","version":3}},"canonical_sha256":"aa517361cad83a7fd981e95742cc8306aee370b977353b8b0a9ed38a440160c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa517361cad83a7fd981e95742cc8306aee370b977353b8b0a9ed38a440160c8","first_computed_at":"2026-05-18T01:23:08.335127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:08.335127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"82FySED1Dvrd78JAw8dOtKzOcatkhTwlAdPjwU2JzwxZRyszQueXwDyRstqaRDpfvhMqYFjulj/kDM22UuAiCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:08.335708Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.03174","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65db8e08cabcd8e2b7408ea58b300f64a3c4ce8c06cb48d54306b6609d225a6c","sha256:be5211b4d66ccaf377701b6cbfee445fe3d2c1ee12139f11b947aab52a190bb7"],"state_sha256":"114c6d572e892553cfd5d98f68798ea4025019a7dc7ba7546683f705e9370143"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7+42QCZQ+WWJeltfTSakSxAbTjfqqMRmU9NMXVpRdkXsyrqmBy9XD+GB971br/S6X3Qj8zi3CnfMQrV6BhE4DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T17:18:36.121913Z","bundle_sha256":"efa0ed72f06219301bb70d089bb70f9b0b03c1c1916021d0e00d9edffbe768cb"}}