{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HOONQPT77MW3BRNST7RSVGYIHR","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":"196399f5c111cd096f8c150f7debe550cec554ee03f77b324423fe86db03ba2c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-11T08:23:12Z","title_canon_sha256":"f0d883d132ac1b86e140229c4f2ea421fc6046427615aa77eac1802576e5328e"},"schema_version":"1.0","source":{"id":"1307.3012","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.3012","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"arxiv_version","alias_value":"1307.3012v4","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.3012","created_at":"2026-05-18T01:19:31Z"},{"alias_kind":"pith_short_12","alias_value":"HOONQPT77MW3","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HOONQPT77MW3BRNS","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HOONQPT7","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:68fa2ee88abba93fb21e9d6407c87ecd9822e1db2b44c7fc9cfa6bc0f02c97a9","target":"graph","created_at":"2026-05-18T01:19:31Z","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 paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with periodic boundary conditions for the distribution function of a gas of excitations interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Results on well-posedness and long time behaviour are proved in a H1-setting close to equilibrium.","authors_text":"A. Nouri, L. Arkeryd","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-11T08:23:12Z","title":"Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3012","kind":"arxiv","version":4},"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":"sha256:5c65399807f865d1a2a664cdc07ddc66c3dfba1cd60e8687cc66f15b68dd48b0","target":"record","created_at":"2026-05-18T01:19:31Z","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":"196399f5c111cd096f8c150f7debe550cec554ee03f77b324423fe86db03ba2c","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-11T08:23:12Z","title_canon_sha256":"f0d883d132ac1b86e140229c4f2ea421fc6046427615aa77eac1802576e5328e"},"schema_version":"1.0","source":{"id":"1307.3012","kind":"arxiv","version":4}},"canonical_sha256":"3b9cd83e7ffb2db0c5b29fe32a9b083c7632f9549b6aac28abfef8d069d6fc9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3b9cd83e7ffb2db0c5b29fe32a9b083c7632f9549b6aac28abfef8d069d6fc9a","first_computed_at":"2026-05-18T01:19:31.061147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:31.061147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5ZhMQuD8f0q0z9s2G5uQ/yVeR4860KmqEVfYKavnAwCIS24UfwEzpnZW14DTuQD512g8G/rtn0nulcrxmpHqDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:31.061798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.3012","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c65399807f865d1a2a664cdc07ddc66c3dfba1cd60e8687cc66f15b68dd48b0","sha256:68fa2ee88abba93fb21e9d6407c87ecd9822e1db2b44c7fc9cfa6bc0f02c97a9"],"state_sha256":"b2fbf0d485c734b0d23f01d0590072ee0e68ec656e76f686f4ccf69d537e2645"}