{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WAGKURQTA7NLVYZWIHDRWVY3AP","short_pith_number":"pith:WAGKURQT","canonical_record":{"source":{"id":"1706.09677","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-29T11:12:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8274d25037a195e3688e5b88aec2e8c286314e35b625877a903669d9492f3dc1","abstract_canon_sha256":"0e2bb7f9d115ebd7dd114443e39bf74235a5069c281dea715913381228829645"},"schema_version":"1.0"},"canonical_sha256":"b00caa461307dabae33641c71b571b03ed95789caff1f788bdc4448d4251c029","source":{"kind":"arxiv","id":"1706.09677","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.09677","created_at":"2026-05-18T00:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"1706.09677v2","created_at":"2026-05-18T00:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09677","created_at":"2026-05-18T00:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"WAGKURQTA7NL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WAGKURQTA7NLVYZW","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WAGKURQT","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WAGKURQTA7NLVYZWIHDRWVY3AP","target":"record","payload":{"canonical_record":{"source":{"id":"1706.09677","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-29T11:12:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8274d25037a195e3688e5b88aec2e8c286314e35b625877a903669d9492f3dc1","abstract_canon_sha256":"0e2bb7f9d115ebd7dd114443e39bf74235a5069c281dea715913381228829645"},"schema_version":"1.0"},"canonical_sha256":"b00caa461307dabae33641c71b571b03ed95789caff1f788bdc4448d4251c029","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:13.893426Z","signature_b64":"8nq41jcHKY3gLNrIX3FsIWDnDjq01HhlacnPmkC90Zz0rB7jHAHa1LY7J7DxdKEcs2yeUjwsFcQt0dmRjj2vDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b00caa461307dabae33641c71b571b03ed95789caff1f788bdc4448d4251c029","last_reissued_at":"2026-05-18T00:36:13.892714Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:13.892714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.09677","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":"2026-05-18T00:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KK90fORQaQbCDCiwUQHJHRWYJZTs2HQ+nqxfGiGJPzMGirIqy/yQlQZwNw6+lar70KwmtFW4yAo9gXfGuKgQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:07:38.606682Z"},"content_sha256":"00016e03d8497e93178615773f46756eae6c39f7137d5816e18e24d1e6dade82","schema_version":"1.0","event_id":"sha256:00016e03d8497e93178615773f46756eae6c39f7137d5816e18e24d1e6dade82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WAGKURQTA7NLVYZWIHDRWVY3AP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two-dimensional Schr\\\"odinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.quant-gas","authors_text":"Daisuke A. Takahashi, Keisuke Ohashi, Muneto Nitta, Toshiaki Fujimori","submitted_at":"2017-06-29T11:12:47Z","abstract_excerpt":"Bose-Einstein condensates (BECs) confined in a two-dimensional (2D) harmonic trap are known to possess a hidden 2D Schr\\\"odinger symmetry, that is, the Schr\\\"odinger symmetry modified by a trapping potential. Spontaneous breaking of this symmetry gives rise to a breathing motion of the BEC, whose oscillation frequency is robustly determined by the strength of the harmonic trap. In this paper, we demonstrate that the concept of the 2D Schr\\\"odinger symmetry can be applied to predict the nature of three dimensional (3D) collective modes propagating along a condensate confined in an elongated tra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09677","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":"2026-05-18T00:36:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5SZYvMId4pWUYdD37vBUqqpM46SiC1ohO5hufcyOjSOXx8/5I0gBjhSQuVaTTxHTp+/euCxzz5ZBgUe+wVzcDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T08:07:38.607065Z"},"content_sha256":"67f2df5529a18bdb49727ff65125612848d2334c45e98abc5acbc78d88436420","schema_version":"1.0","event_id":"sha256:67f2df5529a18bdb49727ff65125612848d2334c45e98abc5acbc78d88436420"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WAGKURQTA7NLVYZWIHDRWVY3AP/bundle.json","state_url":"https://pith.science/pith/WAGKURQTA7NLVYZWIHDRWVY3AP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WAGKURQTA7NLVYZWIHDRWVY3AP/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":"2026-06-02T08:07:38Z","links":{"resolver":"https://pith.science/pith/WAGKURQTA7NLVYZWIHDRWVY3AP","bundle":"https://pith.science/pith/WAGKURQTA7NLVYZWIHDRWVY3AP/bundle.json","state":"https://pith.science/pith/WAGKURQTA7NLVYZWIHDRWVY3AP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WAGKURQTA7NLVYZWIHDRWVY3AP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WAGKURQTA7NLVYZWIHDRWVY3AP","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":"0e2bb7f9d115ebd7dd114443e39bf74235a5069c281dea715913381228829645","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-29T11:12:47Z","title_canon_sha256":"8274d25037a195e3688e5b88aec2e8c286314e35b625877a903669d9492f3dc1"},"schema_version":"1.0","source":{"id":"1706.09677","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.09677","created_at":"2026-05-18T00:36:13Z"},{"alias_kind":"arxiv_version","alias_value":"1706.09677v2","created_at":"2026-05-18T00:36:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.09677","created_at":"2026-05-18T00:36:13Z"},{"alias_kind":"pith_short_12","alias_value":"WAGKURQTA7NL","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WAGKURQTA7NLVYZW","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WAGKURQT","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:67f2df5529a18bdb49727ff65125612848d2334c45e98abc5acbc78d88436420","target":"graph","created_at":"2026-05-18T00:36:13Z","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":"Bose-Einstein condensates (BECs) confined in a two-dimensional (2D) harmonic trap are known to possess a hidden 2D Schr\\\"odinger symmetry, that is, the Schr\\\"odinger symmetry modified by a trapping potential. Spontaneous breaking of this symmetry gives rise to a breathing motion of the BEC, whose oscillation frequency is robustly determined by the strength of the harmonic trap. In this paper, we demonstrate that the concept of the 2D Schr\\\"odinger symmetry can be applied to predict the nature of three dimensional (3D) collective modes propagating along a condensate confined in an elongated tra","authors_text":"Daisuke A. Takahashi, Keisuke Ohashi, Muneto Nitta, Toshiaki Fujimori","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-29T11:12:47Z","title":"Two-dimensional Schr\\\"odinger symmetry and three-dimensional breathers and Kelvin-ripple complexes as quasi-massive-Nambu-Goldstone modes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.09677","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":"sha256:00016e03d8497e93178615773f46756eae6c39f7137d5816e18e24d1e6dade82","target":"record","created_at":"2026-05-18T00:36:13Z","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":"0e2bb7f9d115ebd7dd114443e39bf74235a5069c281dea715913381228829645","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2017-06-29T11:12:47Z","title_canon_sha256":"8274d25037a195e3688e5b88aec2e8c286314e35b625877a903669d9492f3dc1"},"schema_version":"1.0","source":{"id":"1706.09677","kind":"arxiv","version":2}},"canonical_sha256":"b00caa461307dabae33641c71b571b03ed95789caff1f788bdc4448d4251c029","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b00caa461307dabae33641c71b571b03ed95789caff1f788bdc4448d4251c029","first_computed_at":"2026-05-18T00:36:13.892714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:13.892714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8nq41jcHKY3gLNrIX3FsIWDnDjq01HhlacnPmkC90Zz0rB7jHAHa1LY7J7DxdKEcs2yeUjwsFcQt0dmRjj2vDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:13.893426Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.09677","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00016e03d8497e93178615773f46756eae6c39f7137d5816e18e24d1e6dade82","sha256:67f2df5529a18bdb49727ff65125612848d2334c45e98abc5acbc78d88436420"],"state_sha256":"7ab59b04d567a3977f70455e0167c497a3012ea1ccec93340df93ac98c3a8a67"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oFY9Y1ls1VMqBLlY4cJtTf4PINsWCL3Pnb9tBu58jx2ttA2puTAukM3hQa/V1Kkdfd/2a9onDlELxscStIimAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T08:07:38.609037Z","bundle_sha256":"0e6d306e397ebb922f83487598f68fae54eef956d82ec071f6aa422e0114ea00"}}