{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:CGPTFBDB3DOGWDFZZYOUBD7YVI","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":"9ec7391fc6419ebcba71a9eec0be00540e78d7b7a80755636416e77106eb0874","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-27T16:18:25Z","title_canon_sha256":"3b59e6d92c9e6ac7421ea35793830fe274719f7633e88c7749763fa40efddd97"},"schema_version":"1.0","source":{"id":"1207.6591","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.6591","created_at":"2026-05-18T01:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1207.6591v1","created_at":"2026-05-18T01:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.6591","created_at":"2026-05-18T01:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"CGPTFBDB3DOG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"CGPTFBDB3DOGWDFZ","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"CGPTFBDB","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:1143f701d28ef7ba77d852519238ab184ab696cb84fb3418bf6f0432a8e9db87","target":"graph","created_at":"2026-05-18T01:56:06Z","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":"Near equilibrium, the rate of relaxation to equilibrium and the transport properties of excitations (bogolons) in a dilute Bose-Einstein condensate (BEC) are determined by three collision integrals, $\\mathcal{G}^{12}$, $\\mathcal{G}^{22}$, and $\\mathcal{G}^{31}$. All three collision integrals conserve momentum and energy during bogolon collisions, but only $ \\mathcal{G}^{22}$ conserves bogolon number. Previous works have considered the contribution of only two collision integrals, $ \\mathcal{G}^{22}$ and $ \\mathcal{G}^{12}$. In this work, we show that the third collision integral $ \\mathcal{G}^","authors_text":"Erich D. Gust, L. E. Reichl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-27T16:18:25Z","title":"Relaxation rates and collision integrals for Bose-Einstein condensates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6591","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:d6373ca08b42242ace4eb3a7806c2bdc142c65a240b0a61a934b8de92754e8ee","target":"record","created_at":"2026-05-18T01:56:06Z","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":"9ec7391fc6419ebcba71a9eec0be00540e78d7b7a80755636416e77106eb0874","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-07-27T16:18:25Z","title_canon_sha256":"3b59e6d92c9e6ac7421ea35793830fe274719f7633e88c7749763fa40efddd97"},"schema_version":"1.0","source":{"id":"1207.6591","kind":"arxiv","version":1}},"canonical_sha256":"119f328461d8dc6b0cb9ce1d408ff8aa32dfa499cad1e7b19c37e5b7fcb769bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"119f328461d8dc6b0cb9ce1d408ff8aa32dfa499cad1e7b19c37e5b7fcb769bf","first_computed_at":"2026-05-18T01:56:06.579649Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:06.579649Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ae6mvhAG0gDb0tFC+zMsQORFQZAaP2PcdHz/Sb3qQyB8rUQrMyO3Lxc/GmSUSu1GM1Zl5xhMvLaUFHzhrf50CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:06.580062Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.6591","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6373ca08b42242ace4eb3a7806c2bdc142c65a240b0a61a934b8de92754e8ee","sha256:1143f701d28ef7ba77d852519238ab184ab696cb84fb3418bf6f0432a8e9db87"],"state_sha256":"a182eabee7ed544a35e5012ffb036d776cda24750e0f0f70ea5a0701163c9391"}