{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2FG24JZKOCE3DKSRSPM5YS3OYZ","short_pith_number":"pith:2FG24JZK","canonical_record":{"source":{"id":"1709.04276","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-13T12:17:56Z","cross_cats_sorted":[],"title_canon_sha256":"cf04b98501789b21043802518ef1382b6c095c81608dba4f32502ed9070ad2bc","abstract_canon_sha256":"537dbac455bfa29fc744fd07322e965b9e5a2fa3f2865b7fd3c42f89a2d7e583"},"schema_version":"1.0"},"canonical_sha256":"d14dae272a7089b1aa5193d9dc4b6ec6481aee358bc3ed60b96fdeb6b1c11584","source":{"kind":"arxiv","id":"1709.04276","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04276","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04276v1","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04276","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"2FG24JZKOCE3","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FG24JZKOCE3DKSR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FG24JZK","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2FG24JZKOCE3DKSRSPM5YS3OYZ","target":"record","payload":{"canonical_record":{"source":{"id":"1709.04276","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-13T12:17:56Z","cross_cats_sorted":[],"title_canon_sha256":"cf04b98501789b21043802518ef1382b6c095c81608dba4f32502ed9070ad2bc","abstract_canon_sha256":"537dbac455bfa29fc744fd07322e965b9e5a2fa3f2865b7fd3c42f89a2d7e583"},"schema_version":"1.0"},"canonical_sha256":"d14dae272a7089b1aa5193d9dc4b6ec6481aee358bc3ed60b96fdeb6b1c11584","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:00.368615Z","signature_b64":"LkCBQ9Jl43hdrRDblGPcWbXbS2tr64mIQ/tTI5aHlVBaqX4UlqGAVvT9WLVztfzkZguu7qv7p6irkLvGmcOICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d14dae272a7089b1aa5193d9dc4b6ec6481aee358bc3ed60b96fdeb6b1c11584","last_reissued_at":"2026-05-18T00:05:00.368189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:00.368189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.04276","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":"2026-05-18T00:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g5TKhpTgt8q4ft/kHT+QY/0wU83wOx2cuLSZMwt2RQQQLb01dlb+RQiEfDp+w6husF4IOqeshweqaSDwvUblCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:01:03.463197Z"},"content_sha256":"b03e06f2ee1234f6917ea4dac2005dbbb5812bff4cdb0eea70af00bef7919a56","schema_version":"1.0","event_id":"sha256:b03e06f2ee1234f6917ea4dac2005dbbb5812bff4cdb0eea70af00bef7919a56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2FG24JZKOCE3DKSRSPM5YS3OYZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Cubic Lowest Landau Level Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"(2) CIMS, (3) IECL), Laurent Thomann (3) ((1) LM-Orsay, Patrick G\\'erard (1), Pierre Germain (2)","submitted_at":"2017-09-13T12:17:56Z","abstract_excerpt":"We study dynamical properties of the  cubic lowest Landau level  equation, which is used in the modeling of fast rotating Bose-Einstein condensates. We  obtain bounds on the decay of general stationary solutions. We then provide a classification of stationary waves with a finite number of zeros.  Finally, we are able to establish which of these stationary waves are stable, through a variational analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04276","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":"2026-05-18T00:05:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GEk2CtYUKXOQyXA9NhI8QTjymwUMfNTwfUxeWkxP+aQ7kL3XVKhGzcLmFkdy8J8uEAjVMXzFVMuhS7LPraj0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:01:03.463920Z"},"content_sha256":"37787c4472f433401bbdf8946e1b04d225b343dc96ad1480bae5ab72adaa7a98","schema_version":"1.0","event_id":"sha256:37787c4472f433401bbdf8946e1b04d225b343dc96ad1480bae5ab72adaa7a98"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ/bundle.json","state_url":"https://pith.science/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ/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":"2026-05-25T15:01:03Z","links":{"resolver":"https://pith.science/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ","bundle":"https://pith.science/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ/bundle.json","state":"https://pith.science/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2FG24JZKOCE3DKSRSPM5YS3OYZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2FG24JZKOCE3DKSRSPM5YS3OYZ","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":"537dbac455bfa29fc744fd07322e965b9e5a2fa3f2865b7fd3c42f89a2d7e583","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-13T12:17:56Z","title_canon_sha256":"cf04b98501789b21043802518ef1382b6c095c81608dba4f32502ed9070ad2bc"},"schema_version":"1.0","source":{"id":"1709.04276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04276","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04276v1","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04276","created_at":"2026-05-18T00:05:00Z"},{"alias_kind":"pith_short_12","alias_value":"2FG24JZKOCE3","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FG24JZKOCE3DKSR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FG24JZK","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:37787c4472f433401bbdf8946e1b04d225b343dc96ad1480bae5ab72adaa7a98","target":"graph","created_at":"2026-05-18T00:05:00Z","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 dynamical properties of the  cubic lowest Landau level  equation, which is used in the modeling of fast rotating Bose-Einstein condensates. We  obtain bounds on the decay of general stationary solutions. We then provide a classification of stationary waves with a finite number of zeros.  Finally, we are able to establish which of these stationary waves are stable, through a variational analysis.","authors_text":"(2) CIMS, (3) IECL), Laurent Thomann (3) ((1) LM-Orsay, Patrick G\\'erard (1), Pierre Germain (2)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-13T12:17:56Z","title":"On the Cubic Lowest Landau Level Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04276","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:b03e06f2ee1234f6917ea4dac2005dbbb5812bff4cdb0eea70af00bef7919a56","target":"record","created_at":"2026-05-18T00:05:00Z","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":"537dbac455bfa29fc744fd07322e965b9e5a2fa3f2865b7fd3c42f89a2d7e583","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-09-13T12:17:56Z","title_canon_sha256":"cf04b98501789b21043802518ef1382b6c095c81608dba4f32502ed9070ad2bc"},"schema_version":"1.0","source":{"id":"1709.04276","kind":"arxiv","version":1}},"canonical_sha256":"d14dae272a7089b1aa5193d9dc4b6ec6481aee358bc3ed60b96fdeb6b1c11584","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d14dae272a7089b1aa5193d9dc4b6ec6481aee358bc3ed60b96fdeb6b1c11584","first_computed_at":"2026-05-18T00:05:00.368189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:05:00.368189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LkCBQ9Jl43hdrRDblGPcWbXbS2tr64mIQ/tTI5aHlVBaqX4UlqGAVvT9WLVztfzkZguu7qv7p6irkLvGmcOICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:05:00.368615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b03e06f2ee1234f6917ea4dac2005dbbb5812bff4cdb0eea70af00bef7919a56","sha256:37787c4472f433401bbdf8946e1b04d225b343dc96ad1480bae5ab72adaa7a98"],"state_sha256":"384faeeed148478f11ca4b22d820b2168c4e486f8a6fb64e42edbbd6adc9e816"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qlmdTIWObKtGjVKAT9TXfkjoZqaVaHv2qpGjnL2NPbnJonAUCNnL3E8vnUDO1wqwccRQLrqcSYeEcIz4tkqSDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:01:03.468089Z","bundle_sha256":"80d08c2a78425b16334e9eabb38b073e74f54cbd1890ba241295a96c4392404a"}}