{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LH5QC7NGVEBGDYMUMRSLK7YXHL","short_pith_number":"pith:LH5QC7NG","canonical_record":{"source":{"id":"1805.04392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-11T13:37:07Z","cross_cats_sorted":[],"title_canon_sha256":"bc37397e3ebaa7c0e50f27fbd3be3c41ecb2ec3072999acf63eb0d5e73ef16b8","abstract_canon_sha256":"00a456e555ddfae83266137d8523adc758a6fbd7eca52f7ebe32ef02745807b0"},"schema_version":"1.0"},"canonical_sha256":"59fb017da6a90261e1946464b57f173ac76791ffcb51330440bd7b19179e050c","source":{"kind":"arxiv","id":"1805.04392","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04392","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04392v1","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04392","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"LH5QC7NGVEBG","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LH5QC7NGVEBGDYMU","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LH5QC7NG","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LH5QC7NGVEBGDYMUMRSLK7YXHL","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04392","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-11T13:37:07Z","cross_cats_sorted":[],"title_canon_sha256":"bc37397e3ebaa7c0e50f27fbd3be3c41ecb2ec3072999acf63eb0d5e73ef16b8","abstract_canon_sha256":"00a456e555ddfae83266137d8523adc758a6fbd7eca52f7ebe32ef02745807b0"},"schema_version":"1.0"},"canonical_sha256":"59fb017da6a90261e1946464b57f173ac76791ffcb51330440bd7b19179e050c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:34.430372Z","signature_b64":"14TBE6ooQQCu+1cfLkNFJbFPq+lqqLJLni9kMtrKTMlTEDp/BMUVhrNINlNoqsWDza9BBmTtVmWjZQ0CN5giAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59fb017da6a90261e1946464b57f173ac76791ffcb51330440bd7b19179e050c","last_reissued_at":"2026-05-18T00:07:34.429834Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:34.429834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04392","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":"2026-05-18T00:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D/TA5UAxF/fw+/fihLxtz82A8pMBZ52oJ2diKybHC3MxQYTYgZBdp5UIxeErVe04bz31Zh7vkQGvyVGc5o5UDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:46:07.952233Z"},"content_sha256":"8a625b8d9c6cdaa0cfc6578b7ad3d8d704db09ee4a9b376cc9b91bf54ea32120","schema_version":"1.0","event_id":"sha256:8a625b8d9c6cdaa0cfc6578b7ad3d8d704db09ee4a9b376cc9b91bf54ea32120"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LH5QC7NGVEBGDYMUMRSLK7YXHL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergence of continuous rotational symmetries in ultracold atoms coupled to optical cavities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Andreas Nunnenkamp, Ezequiel Rodr\\'iguez Chiacchio","submitted_at":"2018-05-11T13:37:07Z","abstract_excerpt":"We investigate the physics of a gas of ultracold atoms coupled to three single-mode optical cavities and transversely pumped with a laser. Recent work has demonstrated that, for two cavities, the $\\mathbb{Z}_{2}$ symmetries of each cavity can be combined into a global $U(1)$ symmetry. Here, we show that when adding an extra cavity mode, the low-energy description of this system can additionally exhibit an $SO(3)$ rotational symmetry which can be spontaneously broken. This leads to a superradiant phase transition in all the cavities simultaneously, and the appearance of Goldstone and amplitude "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04392","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":"2026-05-18T00:07:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o5S5IkcidLyIUWHAH4CBe+E3rn2PraWxRCsB1T0mbnPoqXNtJ5Gy18ywVlbUuPUPe6EVFABlX/rB84E/eUwzBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T00:46:07.952618Z"},"content_sha256":"47c4a21a2a54b4e6808bae772d65502642b0e22131c0ada7bd8980eb39752158","schema_version":"1.0","event_id":"sha256:47c4a21a2a54b4e6808bae772d65502642b0e22131c0ada7bd8980eb39752158"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL/bundle.json","state_url":"https://pith.science/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL/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":"2026-06-07T00:46:07Z","links":{"resolver":"https://pith.science/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL","bundle":"https://pith.science/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL/bundle.json","state":"https://pith.science/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LH5QC7NGVEBGDYMUMRSLK7YXHL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LH5QC7NGVEBGDYMUMRSLK7YXHL","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":"00a456e555ddfae83266137d8523adc758a6fbd7eca52f7ebe32ef02745807b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-11T13:37:07Z","title_canon_sha256":"bc37397e3ebaa7c0e50f27fbd3be3c41ecb2ec3072999acf63eb0d5e73ef16b8"},"schema_version":"1.0","source":{"id":"1805.04392","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04392","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04392v1","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04392","created_at":"2026-05-18T00:07:34Z"},{"alias_kind":"pith_short_12","alias_value":"LH5QC7NGVEBG","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LH5QC7NGVEBGDYMU","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LH5QC7NG","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:47c4a21a2a54b4e6808bae772d65502642b0e22131c0ada7bd8980eb39752158","target":"graph","created_at":"2026-05-18T00:07:34Z","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 investigate the physics of a gas of ultracold atoms coupled to three single-mode optical cavities and transversely pumped with a laser. Recent work has demonstrated that, for two cavities, the $\\mathbb{Z}_{2}$ symmetries of each cavity can be combined into a global $U(1)$ symmetry. Here, we show that when adding an extra cavity mode, the low-energy description of this system can additionally exhibit an $SO(3)$ rotational symmetry which can be spontaneously broken. This leads to a superradiant phase transition in all the cavities simultaneously, and the appearance of Goldstone and amplitude ","authors_text":"Andreas Nunnenkamp, Ezequiel Rodr\\'iguez Chiacchio","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-11T13:37:07Z","title":"Emergence of continuous rotational symmetries in ultracold atoms coupled to optical cavities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04392","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":"sha256:8a625b8d9c6cdaa0cfc6578b7ad3d8d704db09ee4a9b376cc9b91bf54ea32120","target":"record","created_at":"2026-05-18T00:07:34Z","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":"00a456e555ddfae83266137d8523adc758a6fbd7eca52f7ebe32ef02745807b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2018-05-11T13:37:07Z","title_canon_sha256":"bc37397e3ebaa7c0e50f27fbd3be3c41ecb2ec3072999acf63eb0d5e73ef16b8"},"schema_version":"1.0","source":{"id":"1805.04392","kind":"arxiv","version":1}},"canonical_sha256":"59fb017da6a90261e1946464b57f173ac76791ffcb51330440bd7b19179e050c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"59fb017da6a90261e1946464b57f173ac76791ffcb51330440bd7b19179e050c","first_computed_at":"2026-05-18T00:07:34.429834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:34.429834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"14TBE6ooQQCu+1cfLkNFJbFPq+lqqLJLni9kMtrKTMlTEDp/BMUVhrNINlNoqsWDza9BBmTtVmWjZQ0CN5giAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:34.430372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04392","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a625b8d9c6cdaa0cfc6578b7ad3d8d704db09ee4a9b376cc9b91bf54ea32120","sha256:47c4a21a2a54b4e6808bae772d65502642b0e22131c0ada7bd8980eb39752158"],"state_sha256":"ebb66011c217c5821b787a6c0c12691c75be070fa80fbe8c5d0b8cf5cfad0b37"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G5Z3KwJeJOeXl0MIAmaE4hcfp0s4/L2Qvks0r20DM/6KHoW2b5B5pWFeTsbpF8cMw9G3x2wCnfJ9w7D7NXo2Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T00:46:07.956569Z","bundle_sha256":"5f8457ef0e4faf7de8b5561161d7420c41b3977f89ec0d1680d328c16fe8cfc0"}}