{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PGPUAG4Q7OKSDQL2NLFT7ROX4U","short_pith_number":"pith:PGPUAG4Q","canonical_record":{"source":{"id":"1705.09309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-05-25T18:04:38Z","cross_cats_sorted":[],"title_canon_sha256":"00261a5c0cb287904286d4667e766e6a1115ab4015d7c080a6925c1ca0c4458f","abstract_canon_sha256":"f4a5a622f9a059cfe1d11f097fb979c4baa2d32cb86913eb6b12a7651ef10342"},"schema_version":"1.0"},"canonical_sha256":"799f401b90fb9521c17a6acb3fc5d7e50f0787204a21336e2539fd1ba4b20e68","source":{"kind":"arxiv","id":"1705.09309","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09309","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09309v1","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09309","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"PGPUAG4Q7OKS","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PGPUAG4Q7OKSDQL2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PGPUAG4Q","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PGPUAG4Q7OKSDQL2NLFT7ROX4U","target":"record","payload":{"canonical_record":{"source":{"id":"1705.09309","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-05-25T18:04:38Z","cross_cats_sorted":[],"title_canon_sha256":"00261a5c0cb287904286d4667e766e6a1115ab4015d7c080a6925c1ca0c4458f","abstract_canon_sha256":"f4a5a622f9a059cfe1d11f097fb979c4baa2d32cb86913eb6b12a7651ef10342"},"schema_version":"1.0"},"canonical_sha256":"799f401b90fb9521c17a6acb3fc5d7e50f0787204a21336e2539fd1ba4b20e68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:24.815612Z","signature_b64":"eLfeUUkJspsa3P8L+TL+DCVlrf2w3ufUOuO+WK6b5Rj7Lwo9fsMYTKZ73fh8oM+Tal9zdiINtjXyw9t823ScBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"799f401b90fb9521c17a6acb3fc5d7e50f0787204a21336e2539fd1ba4b20e68","last_reissued_at":"2026-05-18T00:43:24.815004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:24.815004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.09309","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":"2026-05-18T00:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sl1N2PbroK0iaS8lnMJ9AroE0ZxWR+g7BQZ6pk1M7w5juqZkBykDXNxhLdNrLc3BOyRcNB4MJ0wxqU753nfICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:40:27.439362Z"},"content_sha256":"820c3aa9df9cbf2d4da075a3759d3179c1e1860d8215cb2baf316cd3a9cf7451","schema_version":"1.0","event_id":"sha256:820c3aa9df9cbf2d4da075a3759d3179c1e1860d8215cb2baf316cd3a9cf7451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PGPUAG4Q7OKSDQL2NLFT7ROX4U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bose-Einstein condensation temperature of weakly interacting atoms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"E.P. Yukalova, V.I. Yukalov","submitted_at":"2017-05-25T18:04:38Z","abstract_excerpt":"The critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of Bose-Einstein condensation for different systems are reviewed, including homogenous Bose gas, trapped Bose atoms, and bosons in optical lattices. The method of self-similar approximants, convenient for calculating critical temperature, is briefly delineated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09309","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":"2026-05-18T00:43:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MIB2VHNL8zUrOPnC+WkmSZiSu8e0J2x6zkQqaZzZ04zJI4+amhiGImmIjJENeXBmW+zjceOgRWq5WvNTtSzdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T11:40:27.439997Z"},"content_sha256":"28eab87d6fafe733fd652a06cd24e247ed0162d61b4d506a03cafb77f48fa633","schema_version":"1.0","event_id":"sha256:28eab87d6fafe733fd652a06cd24e247ed0162d61b4d506a03cafb77f48fa633"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U/bundle.json","state_url":"https://pith.science/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U/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":"2026-06-02T11:40:27Z","links":{"resolver":"https://pith.science/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U","bundle":"https://pith.science/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U/bundle.json","state":"https://pith.science/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PGPUAG4Q7OKSDQL2NLFT7ROX4U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PGPUAG4Q7OKSDQL2NLFT7ROX4U","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":"f4a5a622f9a059cfe1d11f097fb979c4baa2d32cb86913eb6b12a7651ef10342","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-05-25T18:04:38Z","title_canon_sha256":"00261a5c0cb287904286d4667e766e6a1115ab4015d7c080a6925c1ca0c4458f"},"schema_version":"1.0","source":{"id":"1705.09309","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09309","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09309v1","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09309","created_at":"2026-05-18T00:43:24Z"},{"alias_kind":"pith_short_12","alias_value":"PGPUAG4Q7OKS","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PGPUAG4Q7OKSDQL2","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PGPUAG4Q","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:28eab87d6fafe733fd652a06cd24e247ed0162d61b4d506a03cafb77f48fa633","target":"graph","created_at":"2026-05-18T00:43:24Z","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 critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of Bose-Einstein condensation for different systems are reviewed, including homogenous Bose gas, trapped Bose atoms, and bosons in optical lattices. The method of self-similar approximants, convenient for calculating critical temperature, is briefly delineated.","authors_text":"E.P. Yukalova, V.I. Yukalov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-05-25T18:04:38Z","title":"Bose-Einstein condensation temperature of weakly interacting atoms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09309","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":"sha256:820c3aa9df9cbf2d4da075a3759d3179c1e1860d8215cb2baf316cd3a9cf7451","target":"record","created_at":"2026-05-18T00:43:24Z","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":"f4a5a622f9a059cfe1d11f097fb979c4baa2d32cb86913eb6b12a7651ef10342","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-05-25T18:04:38Z","title_canon_sha256":"00261a5c0cb287904286d4667e766e6a1115ab4015d7c080a6925c1ca0c4458f"},"schema_version":"1.0","source":{"id":"1705.09309","kind":"arxiv","version":1}},"canonical_sha256":"799f401b90fb9521c17a6acb3fc5d7e50f0787204a21336e2539fd1ba4b20e68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"799f401b90fb9521c17a6acb3fc5d7e50f0787204a21336e2539fd1ba4b20e68","first_computed_at":"2026-05-18T00:43:24.815004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:24.815004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eLfeUUkJspsa3P8L+TL+DCVlrf2w3ufUOuO+WK6b5Rj7Lwo9fsMYTKZ73fh8oM+Tal9zdiINtjXyw9t823ScBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:24.815612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09309","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:820c3aa9df9cbf2d4da075a3759d3179c1e1860d8215cb2baf316cd3a9cf7451","sha256:28eab87d6fafe733fd652a06cd24e247ed0162d61b4d506a03cafb77f48fa633"],"state_sha256":"110e083aecf3e16c7597cf2679356b48c8e1b76d54cb70d867f8788c9d22f6b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SlCD5IHdX+9ff0d4StAMmgfVIGmfC0pzVfqtT++l7s/fsdI1D3N5NmJIbgddLKOX0UpgHravZ5guOn0HL8fYDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T11:40:27.443270Z","bundle_sha256":"7e3bf7917264d3b2e78c4b110f7f2fb7b42506c615fba3a8b6595be115d65636"}}