{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:7ZME22FOMLTMHK6YQXHYK44RU5","short_pith_number":"pith:7ZME22FO","canonical_record":{"source":{"id":"0909.1660","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-09T09:49:14Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"72364505c389f2cc42a386162619969cef3fd647bc04480687ee5bc96da42b9e","abstract_canon_sha256":"f6e16c049d38662824b14b5c94f82cb140670182fa3dd62f558e5ca72a6344bb"},"schema_version":"1.0"},"canonical_sha256":"fe584d68ae62e6c3abd885cf857391a775adc9428f8f4a9a996f649f548c22c5","source":{"kind":"arxiv","id":"0909.1660","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1660","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1660v2","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1660","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"7ZME22FOMLTM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"7ZME22FOMLTMHK6Y","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"7ZME22FO","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:7ZME22FOMLTMHK6YQXHYK44RU5","target":"record","payload":{"canonical_record":{"source":{"id":"0909.1660","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-09T09:49:14Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"72364505c389f2cc42a386162619969cef3fd647bc04480687ee5bc96da42b9e","abstract_canon_sha256":"f6e16c049d38662824b14b5c94f82cb140670182fa3dd62f558e5ca72a6344bb"},"schema_version":"1.0"},"canonical_sha256":"fe584d68ae62e6c3abd885cf857391a775adc9428f8f4a9a996f649f548c22c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:11:58.133585Z","signature_b64":"kEksKZcKTscP37V6pAuUYMYnKzFY58NYm5t+3NEuKJMdj95Q62MhEUfaHWB9rQvvG92Ipweki8IEHchZhCiSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe584d68ae62e6c3abd885cf857391a775adc9428f8f4a9a996f649f548c22c5","last_reissued_at":"2026-05-18T02:11:58.132755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:11:58.132755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.1660","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dN/XRdDDd4FQPrbnQ/d0J90SOiaIOPemYIEZ4eGHkKuGqlqeNlBfcjboNn8fRVj8kC61QJfANPw7QVaiZDeADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T11:30:02.555616Z"},"content_sha256":"075a645176e6b9894481356d709441f62955d8d67dbb8121855ab240bc4cc2d3","schema_version":"1.0","event_id":"sha256:075a645176e6b9894481356d709441f62955d8d67dbb8121855ab240bc4cc2d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:7ZME22FOMLTMHK6YQXHYK44RU5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matter-wave dark solitons: stochastic vs. analytical results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.quant-gas","authors_text":"D.J. Frantzeskakis, H.E. Nistazakis, N.P. Proukakis, P.G. Kevrekidis, S.P. Cockburn, T.P. Horikis","submitted_at":"2009-09-09T09:49:14Z","abstract_excerpt":"The dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual soliton trajectories, attributed to inherent fluctuations in both phase and density of the underlying medium. Averaging over a number of such trajectories (as done in experiments) washes out such background fluctuations, revealing a well-defined temperature-dependent temporal growth in the oscillation amplitude. The average soliton dynamics is well captured by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1660","kind":"arxiv","version":2},"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":"2026-05-18T02:11:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/+Nlg23kwjsxl0EEgem8B5lC80XlJCApFxZKfQ2X0QvZOdbYthZovQ58IlBZe1gIFVsTKNCVycXqDXdvE2ilAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T11:30:02.556285Z"},"content_sha256":"b16759947a9c16139eaaff75e073da85af28cd3a0d88b8ff2e219e9a44ad9ac6","schema_version":"1.0","event_id":"sha256:b16759947a9c16139eaaff75e073da85af28cd3a0d88b8ff2e219e9a44ad9ac6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7ZME22FOMLTMHK6YQXHYK44RU5/bundle.json","state_url":"https://pith.science/pith/7ZME22FOMLTMHK6YQXHYK44RU5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7ZME22FOMLTMHK6YQXHYK44RU5/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":"2026-05-30T11:30:02Z","links":{"resolver":"https://pith.science/pith/7ZME22FOMLTMHK6YQXHYK44RU5","bundle":"https://pith.science/pith/7ZME22FOMLTMHK6YQXHYK44RU5/bundle.json","state":"https://pith.science/pith/7ZME22FOMLTMHK6YQXHYK44RU5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7ZME22FOMLTMHK6YQXHYK44RU5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:7ZME22FOMLTMHK6YQXHYK44RU5","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":"f6e16c049d38662824b14b5c94f82cb140670182fa3dd62f558e5ca72a6344bb","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-09T09:49:14Z","title_canon_sha256":"72364505c389f2cc42a386162619969cef3fd647bc04480687ee5bc96da42b9e"},"schema_version":"1.0","source":{"id":"0909.1660","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1660","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1660v2","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1660","created_at":"2026-05-18T02:11:58Z"},{"alias_kind":"pith_short_12","alias_value":"7ZME22FOMLTM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"7ZME22FOMLTMHK6Y","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"7ZME22FO","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:b16759947a9c16139eaaff75e073da85af28cd3a0d88b8ff2e219e9a44ad9ac6","target":"graph","created_at":"2026-05-18T02:11:58Z","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 dynamics of dark matter-wave solitons in elongated atomic condensates are discussed at finite temperatures. Simulations with the stochastic Gross-Pitaevskii equation reveal a noticeable, experimentally observable spread in individual soliton trajectories, attributed to inherent fluctuations in both phase and density of the underlying medium. Averaging over a number of such trajectories (as done in experiments) washes out such background fluctuations, revealing a well-defined temperature-dependent temporal growth in the oscillation amplitude. The average soliton dynamics is well captured by","authors_text":"D.J. Frantzeskakis, H.E. Nistazakis, N.P. Proukakis, P.G. Kevrekidis, S.P. Cockburn, T.P. Horikis","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-09T09:49:14Z","title":"Matter-wave dark solitons: stochastic vs. analytical results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1660","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":"sha256:075a645176e6b9894481356d709441f62955d8d67dbb8121855ab240bc4cc2d3","target":"record","created_at":"2026-05-18T02:11:58Z","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":"f6e16c049d38662824b14b5c94f82cb140670182fa3dd62f558e5ca72a6344bb","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-09T09:49:14Z","title_canon_sha256":"72364505c389f2cc42a386162619969cef3fd647bc04480687ee5bc96da42b9e"},"schema_version":"1.0","source":{"id":"0909.1660","kind":"arxiv","version":2}},"canonical_sha256":"fe584d68ae62e6c3abd885cf857391a775adc9428f8f4a9a996f649f548c22c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe584d68ae62e6c3abd885cf857391a775adc9428f8f4a9a996f649f548c22c5","first_computed_at":"2026-05-18T02:11:58.132755Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:11:58.132755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kEksKZcKTscP37V6pAuUYMYnKzFY58NYm5t+3NEuKJMdj95Q62MhEUfaHWB9rQvvG92Ipweki8IEHchZhCiSCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:11:58.133585Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.1660","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:075a645176e6b9894481356d709441f62955d8d67dbb8121855ab240bc4cc2d3","sha256:b16759947a9c16139eaaff75e073da85af28cd3a0d88b8ff2e219e9a44ad9ac6"],"state_sha256":"0630d244e229f34e9cf082ec07b2309180913945d879ba7daaf8f76ce9f4b0b0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cDw9UscvByqk6y6mgGpSiOsBo+1GpL+UWJlPKe806aet+3WrlIC1R9C9NkVmFV80S8MXv+rjT/3DHfGw8NQ+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T11:30:02.559945Z","bundle_sha256":"7503290b01bff85fc8d59f6a1264c547b29e7c12061fd75ed67f875c348109a9"}}