{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ROP424LYD7N6YKR6EVIEV7UBIW","short_pith_number":"pith:ROP424LY","canonical_record":{"source":{"id":"1908.02106","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-08-06T12:33:05Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"cd4a808e29d7a7044e4f6b85fd54efebb7ab87a73e7d55bc89b12fb055fc0993","abstract_canon_sha256":"93f3860d88f3ea22c2e50267b0978753772ca7ab34e159accb19119fa6fda72e"},"schema_version":"1.0"},"canonical_sha256":"8b9fcd71781fdbec2a3e25504afe81459d324b894381c45590d2df68b40d413c","source":{"kind":"arxiv","id":"1908.02106","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02106","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02106v2","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02106","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"ROP424LYD7N6","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_16","alias_value":"ROP424LYD7N6YKR6","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_8","alias_value":"ROP424LY","created_at":"2026-07-05T05:04:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ROP424LYD7N6YKR6EVIEV7UBIW","target":"record","payload":{"canonical_record":{"source":{"id":"1908.02106","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-08-06T12:33:05Z","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"title_canon_sha256":"cd4a808e29d7a7044e4f6b85fd54efebb7ab87a73e7d55bc89b12fb055fc0993","abstract_canon_sha256":"93f3860d88f3ea22c2e50267b0978753772ca7ab34e159accb19119fa6fda72e"},"schema_version":"1.0"},"canonical_sha256":"8b9fcd71781fdbec2a3e25504afe81459d324b894381c45590d2df68b40d413c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:04:23.819601Z","signature_b64":"G1KfO/TSr8R031ZBW2jVlY2OpLFjRX96xIUTpQMfDXTotUPHWVoqKTZGH9zMoG4tfYim8YJRbburC5dZIK8fBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b9fcd71781fdbec2a3e25504afe81459d324b894381c45590d2df68b40d413c","last_reissued_at":"2026-07-05T05:04:23.819193Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:04:23.819193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.02106","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":"2026-07-05T05:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ArnWaAMS9hLG01mSLIcPh/i+VQvbUv9l/BlalPBBRogcqRBE7T7dB4IBc2sDzP4xNSlKr1QCrtkgCiVINlGECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:18:46.423795Z"},"content_sha256":"ae84e3c8999e6acf848815d93bec93cd666295cfd7ef6e870df0ed8c56774bb4","schema_version":"1.0","event_id":"sha256:ae84e3c8999e6acf848815d93bec93cd666295cfd7ef6e870df0ed8c56774bb4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ROP424LYD7N6YKR6EVIEV7UBIW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-size effects on the cluster expansions for quantum gases in restricted geometries","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","quant-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Debshikha Banerjee, Prathyush Manchala, Shyamal Biswas, Soumi Dey, Srijit Basu","submitted_at":"2019-08-06T12:33:05Z","abstract_excerpt":"We have analytically obtained 1-particle density matrices for ideal Bose and Fermi gases in both the 3-D box geometries and the harmonically trapped geometries for the entire range of temperature. We have obtained quantum cluster expansions of the grand free energies in closed forms for the same systems in the restricted geometries. We have proposed a theorem (with a proof) about the generic form of the quantum cluster integral. We also have considered short ranged interactions in our analyses for the quasi 1-D cases of Bose and Fermi gases in the box geometries. Our theoretical results are ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02106","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.02106/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:04:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J8tL2h+ACx/t0Hgou6VIRauxDQw9cRUAl1X0DL7MgiAbPw/enk6RFpZwq15BO9Z+OtgbQwcQ3V4gVVc4kLV9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:18:46.424175Z"},"content_sha256":"648252a86f56cedac1f6b98f7c94b97c35bc1934275b7c7153b8cc611139224b","schema_version":"1.0","event_id":"sha256:648252a86f56cedac1f6b98f7c94b97c35bc1934275b7c7153b8cc611139224b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROP424LYD7N6YKR6EVIEV7UBIW/bundle.json","state_url":"https://pith.science/pith/ROP424LYD7N6YKR6EVIEV7UBIW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROP424LYD7N6YKR6EVIEV7UBIW/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":"2026-08-19T10:18:46Z","links":{"resolver":"https://pith.science/pith/ROP424LYD7N6YKR6EVIEV7UBIW","bundle":"https://pith.science/pith/ROP424LYD7N6YKR6EVIEV7UBIW/bundle.json","state":"https://pith.science/pith/ROP424LYD7N6YKR6EVIEV7UBIW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROP424LYD7N6YKR6EVIEV7UBIW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ROP424LYD7N6YKR6EVIEV7UBIW","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":"93f3860d88f3ea22c2e50267b0978753772ca7ab34e159accb19119fa6fda72e","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-08-06T12:33:05Z","title_canon_sha256":"cd4a808e29d7a7044e4f6b85fd54efebb7ab87a73e7d55bc89b12fb055fc0993"},"schema_version":"1.0","source":{"id":"1908.02106","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02106","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02106v2","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02106","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_12","alias_value":"ROP424LYD7N6","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_16","alias_value":"ROP424LYD7N6YKR6","created_at":"2026-07-05T05:04:23Z"},{"alias_kind":"pith_short_8","alias_value":"ROP424LY","created_at":"2026-07-05T05:04:23Z"}],"graph_snapshots":[{"event_id":"sha256:648252a86f56cedac1f6b98f7c94b97c35bc1934275b7c7153b8cc611139224b","target":"graph","created_at":"2026-07-05T05:04:23Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.02106/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We have analytically obtained 1-particle density matrices for ideal Bose and Fermi gases in both the 3-D box geometries and the harmonically trapped geometries for the entire range of temperature. We have obtained quantum cluster expansions of the grand free energies in closed forms for the same systems in the restricted geometries. We have proposed a theorem (with a proof) about the generic form of the quantum cluster integral. We also have considered short ranged interactions in our analyses for the quasi 1-D cases of Bose and Fermi gases in the box geometries. Our theoretical results are ex","authors_text":"Debshikha Banerjee, Prathyush Manchala, Shyamal Biswas, Soumi Dey, Srijit Basu","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-08-06T12:33:05Z","title":"Finite-size effects on the cluster expansions for quantum gases in restricted geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02106","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:ae84e3c8999e6acf848815d93bec93cd666295cfd7ef6e870df0ed8c56774bb4","target":"record","created_at":"2026-07-05T05:04:23Z","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":"93f3860d88f3ea22c2e50267b0978753772ca7ab34e159accb19119fa6fda72e","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2019-08-06T12:33:05Z","title_canon_sha256":"cd4a808e29d7a7044e4f6b85fd54efebb7ab87a73e7d55bc89b12fb055fc0993"},"schema_version":"1.0","source":{"id":"1908.02106","kind":"arxiv","version":2}},"canonical_sha256":"8b9fcd71781fdbec2a3e25504afe81459d324b894381c45590d2df68b40d413c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b9fcd71781fdbec2a3e25504afe81459d324b894381c45590d2df68b40d413c","first_computed_at":"2026-07-05T05:04:23.819193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:04:23.819193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G1KfO/TSr8R031ZBW2jVlY2OpLFjRX96xIUTpQMfDXTotUPHWVoqKTZGH9zMoG4tfYim8YJRbburC5dZIK8fBA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:04:23.819601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02106","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ae84e3c8999e6acf848815d93bec93cd666295cfd7ef6e870df0ed8c56774bb4","sha256:648252a86f56cedac1f6b98f7c94b97c35bc1934275b7c7153b8cc611139224b"],"state_sha256":"096dcb4bffb6fa01e9c139cba28db34f83c443460b687d926181d34e744286f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dts0SLSg120EwL/f+feohhFMjJfVq0T/ECsnGPnmUAgEdGCewOKxL1NNgw+2mPTNA3aVmOxiCMlPIGG5ANd3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T10:18:46.426611Z","bundle_sha256":"0ea78e2824537e1cd125d2b230657b245f1b3a8e0d4b6a610b4de288f0590322"}}