{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:RPFKGQFL73VOVQGSHMCOB72YFJ","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":"a3ee5c8f0749303827093d085a0e89f3c7617c970d5bc33ce806ebc1575bc36c","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-12-09T09:37:48Z","title_canon_sha256":"b2988ea56db41a1063fdbf0c4ff34c8c56f84c2407733ad39c55307047495340"},"schema_version":"1.0","source":{"id":"0912.1698","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.1698","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"arxiv_version","alias_value":"0912.1698v1","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.1698","created_at":"2026-05-18T02:10:25Z"},{"alias_kind":"pith_short_12","alias_value":"RPFKGQFL73VO","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"RPFKGQFL73VOVQGS","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"RPFKGQFL","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:55acce04b80ed6e19011ad2cdfddd87326ec951abba9d4a93d455cbd4089a40b","target":"graph","created_at":"2026-05-18T02:10:25Z","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":"Properties of the weakly non-ideal Bose gas are considered without suggestion on C-number representation of the creation and annihilation operators with zero momentum. The \"density-density\" correlation function and the one-particle Green function of the degenerated Bose gas are calculated on the basis of the self-consistent Hartree-Fock approximation. It is shown that the spectrum of the one-particle excitations possesses a gap whose value is connected with the density of particles in the \"condensate\". At the same time, the pole in the \"density-density\" Green function determines the phonon-rot","authors_text":"I.M. Yurin, S.A. Trigger, V.B. Bobrov","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-12-09T09:37:48Z","title":"Coexistence of the \"bogolons\" and the one-particle spectrum of excitations with a gap in the degenerated Bose gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.1698","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:eed25f72a191b93115e75584f095d0f9d0a99ba15df4ab3aed94fe177711761b","target":"record","created_at":"2026-05-18T02:10:25Z","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":"a3ee5c8f0749303827093d085a0e89f3c7617c970d5bc33ce806ebc1575bc36c","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-12-09T09:37:48Z","title_canon_sha256":"b2988ea56db41a1063fdbf0c4ff34c8c56f84c2407733ad39c55307047495340"},"schema_version":"1.0","source":{"id":"0912.1698","kind":"arxiv","version":1}},"canonical_sha256":"8bcaa340abfeeaeac0d23b04e0ff582a5bfd27a01e8b278daa7e2d42360cc5b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bcaa340abfeeaeac0d23b04e0ff582a5bfd27a01e8b278daa7e2d42360cc5b5","first_computed_at":"2026-05-18T02:10:25.384452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:10:25.384452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"umfCxeOKJwiq3ymwODGJa/4rZmzdUBaTlxumNuO2kdc4YnoWfedtQszxHVGw7AWj2XCGFvgPCyUAuqcooS/UDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:10:25.385227Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.1698","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eed25f72a191b93115e75584f095d0f9d0a99ba15df4ab3aed94fe177711761b","sha256:55acce04b80ed6e19011ad2cdfddd87326ec951abba9d4a93d455cbd4089a40b"],"state_sha256":"b579aa3b5755c3412e41652385107ce9f2f1e4e1a6641d64e7c8d332a13a6ffa"}