{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K2KJUASQK6DFHMC3LUHGPGSOKL","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":"2887a895b7f3f5e22e9bdc52f1ba08607c96c3808ca9cbafd5ad62c027174b1a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-06T15:51:04Z","title_canon_sha256":"980a561060605b2863cc120d103e62ef14b7670cf6ae65903f09210ec75428bc"},"schema_version":"1.0","source":{"id":"1706.01822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.01822","created_at":"2026-05-18T00:20:48Z"},{"alias_kind":"arxiv_version","alias_value":"1706.01822v2","created_at":"2026-05-18T00:20:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.01822","created_at":"2026-05-18T00:20:48Z"},{"alias_kind":"pith_short_12","alias_value":"K2KJUASQK6DF","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K2KJUASQK6DFHMC3","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K2KJUASQ","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:628dec1309b6eeb5ac7c608d72eb69393c94b319976c6eed7fdae64444792154","target":"graph","created_at":"2026-05-18T00:20:48Z","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":"Following an earlier calculation in 3D, we calculate the 2D critical temperature of a dilute, translation-invariant Bose gas using a variational formulation of the Bogoliubov approximation introduced by Critchley and Solomon in 1976. This provides the first analytical calculation of the Kosterlitz-Thouless transition temperature that includes the constant in the logarithm.","authors_text":"Jan Philip Solovej, Marcin Napi\\'orkowski, Robin Reuvers","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-06T15:51:04Z","title":"Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.01822","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":"sha256:2a2dd778632b3057cd847c8d22f420d785dbd5a4f8cc8b7b55e59d4722e512c2","target":"record","created_at":"2026-05-18T00:20:48Z","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":"2887a895b7f3f5e22e9bdc52f1ba08607c96c3808ca9cbafd5ad62c027174b1a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-06T15:51:04Z","title_canon_sha256":"980a561060605b2863cc120d103e62ef14b7670cf6ae65903f09210ec75428bc"},"schema_version":"1.0","source":{"id":"1706.01822","kind":"arxiv","version":2}},"canonical_sha256":"56949a0250578653b05b5d0e679a4e52cc64875f936a7f59653f96f53b057ee5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56949a0250578653b05b5d0e679a4e52cc64875f936a7f59653f96f53b057ee5","first_computed_at":"2026-05-18T00:20:48.991537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:48.991537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7FY+ZyLwmMPER/ylB5o7UVhBg4lo4L+1/Np10UR5pbywfXNs4jnvQV0xdf+MnBxPGNjpKzj8jjDXldAIXGbKCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:48.992197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.01822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a2dd778632b3057cd847c8d22f420d785dbd5a4f8cc8b7b55e59d4722e512c2","sha256:628dec1309b6eeb5ac7c608d72eb69393c94b319976c6eed7fdae64444792154"],"state_sha256":"878a7aa1b167929a537aad4642423ef517cf0e48a987e2c14ce02dc346baae23"}