{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:GYCPJHBP2PODORJQMTE57JQYLF","short_pith_number":"pith:GYCPJHBP","canonical_record":{"source":{"id":"cond-mat/0508262","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2005-08-10T13:52:23Z","cross_cats_sorted":[],"title_canon_sha256":"1407d5f6e38cb12b8f2a45cc7b34838fe2105a429aa98372639d74d12e96492d","abstract_canon_sha256":"7a90d007399a082a69c863c71ce223d5f168daac0929de734afd27241b4d0dfb"},"schema_version":"1.0"},"canonical_sha256":"3604f49c2fd3dc37453064c9dfa618597c8c81ccbaa189a58d22d11ab353c384","source":{"kind":"arxiv","id":"cond-mat/0508262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0508262","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0508262v1","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0508262","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"GYCPJHBP2POD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"GYCPJHBP2PODORJQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"GYCPJHBP","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:GYCPJHBP2PODORJQMTE57JQYLF","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0508262","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.other","submitted_at":"2005-08-10T13:52:23Z","cross_cats_sorted":[],"title_canon_sha256":"1407d5f6e38cb12b8f2a45cc7b34838fe2105a429aa98372639d74d12e96492d","abstract_canon_sha256":"7a90d007399a082a69c863c71ce223d5f168daac0929de734afd27241b4d0dfb"},"schema_version":"1.0"},"canonical_sha256":"3604f49c2fd3dc37453064c9dfa618597c8c81ccbaa189a58d22d11ab353c384","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:50.504217Z","signature_b64":"c/ZIRAuGodvHxaNDNnz9x+V6a3uo0rSEm68k+6AyFngGMIje/VNi4Z8epd88eIr6AFrL7pAyebrHE7l2EQkCAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3604f49c2fd3dc37453064c9dfa618597c8c81ccbaa189a58d22d11ab353c384","last_reissued_at":"2026-05-18T01:39:50.503461Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:50.503461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0508262","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3jTRjI6qnMc0Ax2e6xuey0EoicO5giK0yLA6KjT+P84NJhq2VZnvUHoS7dD1yrpT0PONfJZhs7k1Qg12KjYNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:01:16.690572Z"},"content_sha256":"88b6b1503370087f0894f7afab6ac9f6df5268480aff07d082aaa9adde2c7be3","schema_version":"1.0","event_id":"sha256:88b6b1503370087f0894f7afab6ac9f6df5268480aff07d082aaa9adde2c7be3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:GYCPJHBP2PODORJQMTE57JQYLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective oscillations of a quasi one dimensional Bose condensate under damping","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.other","authors_text":"Fatkhulla Kh Abdullaev, Khayotullo Ismatullaev, Ravil M. Galimzyanov","submitted_at":"2005-08-10T13:52:23Z","abstract_excerpt":"Influence of the damping on collective oscillations of a one-dimensional trapped Bose gas in the mean field regime has been studied. Using the phenomenological damping approach developed by L.P. Pitaevskii, modified variational equations for the parameters of the condensate wave function is derived. Analytical expressions for the condensate parameters in equilibrium state have been obtained. Bistability in nonlinear oscillations of the condensate under periodic variations of the trap potential is predicted. The predictions of the modified variational approach are confirmed by full numerical si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0508262","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:39:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2jKPRtLdHF+a9744gu8exzEiFj18KdOSvko3oj3qvGBOJa1JqL1qcpd7DZg0i+cbdSyxli/NRntwSmJRqdHYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T17:01:16.690913Z"},"content_sha256":"1d6400336a4275e2613b0fe8855cb46c378da60f4497c6197e94f1dcebac69ab","schema_version":"1.0","event_id":"sha256:1d6400336a4275e2613b0fe8855cb46c378da60f4497c6197e94f1dcebac69ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYCPJHBP2PODORJQMTE57JQYLF/bundle.json","state_url":"https://pith.science/pith/GYCPJHBP2PODORJQMTE57JQYLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYCPJHBP2PODORJQMTE57JQYLF/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T17:01:16Z","links":{"resolver":"https://pith.science/pith/GYCPJHBP2PODORJQMTE57JQYLF","bundle":"https://pith.science/pith/GYCPJHBP2PODORJQMTE57JQYLF/bundle.json","state":"https://pith.science/pith/GYCPJHBP2PODORJQMTE57JQYLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYCPJHBP2PODORJQMTE57JQYLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:GYCPJHBP2PODORJQMTE57JQYLF","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":"7a90d007399a082a69c863c71ce223d5f168daac0929de734afd27241b4d0dfb","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2005-08-10T13:52:23Z","title_canon_sha256":"1407d5f6e38cb12b8f2a45cc7b34838fe2105a429aa98372639d74d12e96492d"},"schema_version":"1.0","source":{"id":"cond-mat/0508262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0508262","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0508262v1","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0508262","created_at":"2026-05-18T01:39:50Z"},{"alias_kind":"pith_short_12","alias_value":"GYCPJHBP2POD","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"GYCPJHBP2PODORJQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"GYCPJHBP","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:1d6400336a4275e2613b0fe8855cb46c378da60f4497c6197e94f1dcebac69ab","target":"graph","created_at":"2026-05-18T01:39:50Z","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":"Influence of the damping on collective oscillations of a one-dimensional trapped Bose gas in the mean field regime has been studied. Using the phenomenological damping approach developed by L.P. Pitaevskii, modified variational equations for the parameters of the condensate wave function is derived. Analytical expressions for the condensate parameters in equilibrium state have been obtained. Bistability in nonlinear oscillations of the condensate under periodic variations of the trap potential is predicted. The predictions of the modified variational approach are confirmed by full numerical si","authors_text":"Fatkhulla Kh Abdullaev, Khayotullo Ismatullaev, Ravil M. Galimzyanov","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.other","submitted_at":"2005-08-10T13:52:23Z","title":"Collective oscillations of a quasi one dimensional Bose condensate under damping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0508262","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":"sha256:88b6b1503370087f0894f7afab6ac9f6df5268480aff07d082aaa9adde2c7be3","target":"record","created_at":"2026-05-18T01:39:50Z","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":"7a90d007399a082a69c863c71ce223d5f168daac0929de734afd27241b4d0dfb","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.other","submitted_at":"2005-08-10T13:52:23Z","title_canon_sha256":"1407d5f6e38cb12b8f2a45cc7b34838fe2105a429aa98372639d74d12e96492d"},"schema_version":"1.0","source":{"id":"cond-mat/0508262","kind":"arxiv","version":1}},"canonical_sha256":"3604f49c2fd3dc37453064c9dfa618597c8c81ccbaa189a58d22d11ab353c384","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3604f49c2fd3dc37453064c9dfa618597c8c81ccbaa189a58d22d11ab353c384","first_computed_at":"2026-05-18T01:39:50.503461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:50.503461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c/ZIRAuGodvHxaNDNnz9x+V6a3uo0rSEm68k+6AyFngGMIje/VNi4Z8epd88eIr6AFrL7pAyebrHE7l2EQkCAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:50.504217Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0508262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88b6b1503370087f0894f7afab6ac9f6df5268480aff07d082aaa9adde2c7be3","sha256:1d6400336a4275e2613b0fe8855cb46c378da60f4497c6197e94f1dcebac69ab"],"state_sha256":"6d51c6ae61b3fa1cfd1ebea18f537a015191aa7593ec98c6d4ed13bea6b8f438"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ULfEqxBb6TYOc84cUNn3wwDwSX0ds/lnywJmrg75tzNyxQrHSspe+oFtLdkoqt/u8SJ1lMGedZSaBnq/IAHpCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T17:01:16.692763Z","bundle_sha256":"470d7a856cf17cbfb5fa2cf0533241583fbb10877b499d1c8ae49015668a1766"}}