{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:VSH34JRG5M2RTSQCCQMU3LTH3R","short_pith_number":"pith:VSH34JRG","canonical_record":{"source":{"id":"0911.5020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-26T13:21:21Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"300bbf10dab9e9ea56064d62572059f9cd81d7ee531de76965d1443dfe559a8e","abstract_canon_sha256":"2ae7a552586ba97bf8e75c88a2e8e4afcc2b8ad62be7180f67eb721714e46352"},"schema_version":"1.0"},"canonical_sha256":"ac8fbe2626eb3519ca0214194dae67dc4edfcfb908672a2850c9ffc321444ebc","source":{"kind":"arxiv","id":"0911.5020","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5020","created_at":"2026-05-18T04:18:43Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5020v1","created_at":"2026-05-18T04:18:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5020","created_at":"2026-05-18T04:18:43Z"},{"alias_kind":"pith_short_12","alias_value":"VSH34JRG5M2R","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VSH34JRG5M2RTSQC","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VSH34JRG","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:VSH34JRG5M2RTSQCCQMU3LTH3R","target":"record","payload":{"canonical_record":{"source":{"id":"0911.5020","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-26T13:21:21Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"300bbf10dab9e9ea56064d62572059f9cd81d7ee531de76965d1443dfe559a8e","abstract_canon_sha256":"2ae7a552586ba97bf8e75c88a2e8e4afcc2b8ad62be7180f67eb721714e46352"},"schema_version":"1.0"},"canonical_sha256":"ac8fbe2626eb3519ca0214194dae67dc4edfcfb908672a2850c9ffc321444ebc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:43.831667Z","signature_b64":"rXHu3s4Ok0CQ0oIFLopDkIil0Ec0dnotzsm9Cn4uRu1fx+Wb2AoEv9/LDorYXRc82Mfc2WEQPwHiCMSIDPfADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac8fbe2626eb3519ca0214194dae67dc4edfcfb908672a2850c9ffc321444ebc","last_reissued_at":"2026-05-18T04:18:43.831150Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:43.831150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.5020","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":"2026-05-18T04:18:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m62u6rwHIpVepFCoQo0qtQXzh9ZSgQzQBLTOaHQxxbhxxjTABYiOHv+i2T+S9gVtAv1OV8ywp+iDEqgH1x3+Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:23:40.711136Z"},"content_sha256":"ba4b49e70cc577cd7e1988e1390e900773647d7ece1dc447eefa461c0782c141","schema_version":"1.0","event_id":"sha256:ba4b49e70cc577cd7e1988e1390e900773647d7ece1dc447eefa461c0782c141"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:VSH34JRG5M2RTSQCCQMU3LTH3R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"cond-mat.quant-gas","authors_text":"F. Maucher, M. Sheng, S. Skupin, W. Krolikowski","submitted_at":"2009-11-26T13:21:21Z","abstract_excerpt":"We study formation of rotating three-dimensional high-order solitons (azimuthons) in Bose Einstein condensate with attractive nonlocal nonlinear interaction. In particular, we demonstrate formation of toroidal rotating solitons and investigate their stability. We show that variational methods allow a very good approximation of such solutions and predict accurately the soliton rotation frequency. We also find that these rotating localized structures are very robust and persist even if the initial condensate conditions are rather far from the exact soliton solutions. Furthermore, the presence of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5020","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":"2026-05-18T04:18:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6tvNWuCSyDDEnTrauRShB1MGuOde/HQQ+VyKaUzHcuxCmugRHJb9Km9h3qqZWXHkxQNHkChQJQKUt2t3sqmgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T20:23:40.711498Z"},"content_sha256":"92796af0c470f12e854aad6c61a4f2cbc6356f1d0091f488a08b3eef6b61e63d","schema_version":"1.0","event_id":"sha256:92796af0c470f12e854aad6c61a4f2cbc6356f1d0091f488a08b3eef6b61e63d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSH34JRG5M2RTSQCCQMU3LTH3R/bundle.json","state_url":"https://pith.science/pith/VSH34JRG5M2RTSQCCQMU3LTH3R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSH34JRG5M2RTSQCCQMU3LTH3R/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":"2026-06-28T20:23:40Z","links":{"resolver":"https://pith.science/pith/VSH34JRG5M2RTSQCCQMU3LTH3R","bundle":"https://pith.science/pith/VSH34JRG5M2RTSQCCQMU3LTH3R/bundle.json","state":"https://pith.science/pith/VSH34JRG5M2RTSQCCQMU3LTH3R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSH34JRG5M2RTSQCCQMU3LTH3R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:VSH34JRG5M2RTSQCCQMU3LTH3R","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":"2ae7a552586ba97bf8e75c88a2e8e4afcc2b8ad62be7180f67eb721714e46352","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-26T13:21:21Z","title_canon_sha256":"300bbf10dab9e9ea56064d62572059f9cd81d7ee531de76965d1443dfe559a8e"},"schema_version":"1.0","source":{"id":"0911.5020","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.5020","created_at":"2026-05-18T04:18:43Z"},{"alias_kind":"arxiv_version","alias_value":"0911.5020v1","created_at":"2026-05-18T04:18:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.5020","created_at":"2026-05-18T04:18:43Z"},{"alias_kind":"pith_short_12","alias_value":"VSH34JRG5M2R","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"VSH34JRG5M2RTSQC","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"VSH34JRG","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:92796af0c470f12e854aad6c61a4f2cbc6356f1d0091f488a08b3eef6b61e63d","target":"graph","created_at":"2026-05-18T04:18:43Z","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":"We study formation of rotating three-dimensional high-order solitons (azimuthons) in Bose Einstein condensate with attractive nonlocal nonlinear interaction. In particular, we demonstrate formation of toroidal rotating solitons and investigate their stability. We show that variational methods allow a very good approximation of such solutions and predict accurately the soliton rotation frequency. We also find that these rotating localized structures are very robust and persist even if the initial condensate conditions are rather far from the exact soliton solutions. Furthermore, the presence of","authors_text":"F. Maucher, M. Sheng, S. Skupin, W. Krolikowski","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-26T13:21:21Z","title":"Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.5020","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:ba4b49e70cc577cd7e1988e1390e900773647d7ece1dc447eefa461c0782c141","target":"record","created_at":"2026-05-18T04:18:43Z","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":"2ae7a552586ba97bf8e75c88a2e8e4afcc2b8ad62be7180f67eb721714e46352","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-11-26T13:21:21Z","title_canon_sha256":"300bbf10dab9e9ea56064d62572059f9cd81d7ee531de76965d1443dfe559a8e"},"schema_version":"1.0","source":{"id":"0911.5020","kind":"arxiv","version":1}},"canonical_sha256":"ac8fbe2626eb3519ca0214194dae67dc4edfcfb908672a2850c9ffc321444ebc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac8fbe2626eb3519ca0214194dae67dc4edfcfb908672a2850c9ffc321444ebc","first_computed_at":"2026-05-18T04:18:43.831150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:43.831150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rXHu3s4Ok0CQ0oIFLopDkIil0Ec0dnotzsm9Cn4uRu1fx+Wb2AoEv9/LDorYXRc82Mfc2WEQPwHiCMSIDPfADA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:43.831667Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.5020","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba4b49e70cc577cd7e1988e1390e900773647d7ece1dc447eefa461c0782c141","sha256:92796af0c470f12e854aad6c61a4f2cbc6356f1d0091f488a08b3eef6b61e63d"],"state_sha256":"6a39c24811f08d13929327da75cc9296646bfc26dc5244438d48bb39ed9fc6bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R4s+QQEBgz0GD8a5oDSSaXvRzk6+BZaEvbuPSR7XPrkd12c30U9XFIOmdH1jRqCVczKmCTfECmfk4O1M7+T+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T20:23:40.713581Z","bundle_sha256":"2b973651886229bf21c8062c63bdc4eb1eba0bd15191da6d0f4d52b1349029ed"}}