{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:GALPZ7FSL3F5F2YFIQ2ARF4ZKJ","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":"033bbd8d126b605de1bfb11f34c9d65653124c6136081404a88035b8c74be529","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2007-09-10T01:17:15Z","title_canon_sha256":"0bee9c0a72ae16454235dd4332ba21e0bd63c906b5c8a1bf1ac5be22a69665ee"},"schema_version":"1.0","source":{"id":"0709.1293","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0709.1293","created_at":"2026-05-18T02:24:57Z"},{"alias_kind":"arxiv_version","alias_value":"0709.1293v2","created_at":"2026-05-18T02:24:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0709.1293","created_at":"2026-05-18T02:24:57Z"},{"alias_kind":"pith_short_12","alias_value":"GALPZ7FSL3F5","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"GALPZ7FSL3F5F2YF","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"GALPZ7FS","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:e09b83af490207b5cfeaafde4911ab7e27813ffbc5128a531dbe22607ce95c18","target":"graph","created_at":"2026-05-18T02:24:57Z","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 consider a homogeneous non-ideal Bose gas at nonzero temperature in equilibrium below the critical temperature $T_C$ in the framework of finite temperature field theory. An algorithm is described in which a manageable subset of diagrams can be considered which, coupled with a self--consistent condition related to the minimization of the free energy, can be used to obtain physically reasonable results.","authors_text":"E. Kovalchuk, R. Kobes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2007-09-10T01:17:15Z","title":"Weakly interacting Bose gases below the critical temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0709.1293","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":"sha256:51608971038de64957dfe08cbd42abac989df099eacaef94c81025b965a7f16c","target":"record","created_at":"2026-05-18T02:24:57Z","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":"033bbd8d126b605de1bfb11f34c9d65653124c6136081404a88035b8c74be529","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2007-09-10T01:17:15Z","title_canon_sha256":"0bee9c0a72ae16454235dd4332ba21e0bd63c906b5c8a1bf1ac5be22a69665ee"},"schema_version":"1.0","source":{"id":"0709.1293","kind":"arxiv","version":2}},"canonical_sha256":"3016fcfcb25ecbd2eb0544340897995258a111def32a24b7dc3a05c5ce8e9a64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3016fcfcb25ecbd2eb0544340897995258a111def32a24b7dc3a05c5ce8e9a64","first_computed_at":"2026-05-18T02:24:57.885712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:57.885712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tbJ/g5aiQONR9OmmDrRPTYMREpOkvLDUo89ITdrKB64cwMornFLm7/DB18c4ZbruJ3nre3lw3tvwtaq+oOI6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:57.886455Z","signed_message":"canonical_sha256_bytes"},"source_id":"0709.1293","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51608971038de64957dfe08cbd42abac989df099eacaef94c81025b965a7f16c","sha256:e09b83af490207b5cfeaafde4911ab7e27813ffbc5128a531dbe22607ce95c18"],"state_sha256":"b3f4828361d00f7e4b3d9b0bbb22f3755253fdb1d39ca3becf46779e8ae9a504"}