{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LIPD7HIUJJ7W3VF34G57BZOYFQ","short_pith_number":"pith:LIPD7HIU","canonical_record":{"source":{"id":"1809.06371","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T18:00:00Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"be7793db19ac817678cbdbc31027c650d4ce2dc5977976568da5e3bd6b04e496","abstract_canon_sha256":"d0d42f6c3217fc665b474f94b7d610c813495ec93fc4c69a19ad5b2a135f940e"},"schema_version":"1.0"},"canonical_sha256":"5a1e3f9d144a7f6dd4bbe1bbf0e5d82c1053ed3010bc5ea01b13210cb20a524e","source":{"kind":"arxiv","id":"1809.06371","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06371","created_at":"2026-05-17T23:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06371v2","created_at":"2026-05-17T23:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06371","created_at":"2026-05-17T23:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"LIPD7HIUJJ7W","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LIPD7HIUJJ7W3VF3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LIPD7HIU","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LIPD7HIUJJ7W3VF34G57BZOYFQ","target":"record","payload":{"canonical_record":{"source":{"id":"1809.06371","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T18:00:00Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"be7793db19ac817678cbdbc31027c650d4ce2dc5977976568da5e3bd6b04e496","abstract_canon_sha256":"d0d42f6c3217fc665b474f94b7d610c813495ec93fc4c69a19ad5b2a135f940e"},"schema_version":"1.0"},"canonical_sha256":"5a1e3f9d144a7f6dd4bbe1bbf0e5d82c1053ed3010bc5ea01b13210cb20a524e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:39.927147Z","signature_b64":"amrL7f7A7MlzyiJR7Ptx05RjV0QUkiWB+6Ep2ijZdJVCr5zWkRb5f6hksokfGPQdJJSEpotDYyXhzXT+w+XkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a1e3f9d144a7f6dd4bbe1bbf0e5d82c1053ed3010bc5ea01b13210cb20a524e","last_reissued_at":"2026-05-17T23:57:39.926658Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:39.926658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.06371","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":"2026-05-17T23:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VbAc6fxLcyDij9ZFZT4Q9C0KZuEW2nkf4bjE8Sq7GrokNzN/6LMWL5KoHba/2DGsgYRoU8zLFa6kFsAMPW2tAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:22:39.989066Z"},"content_sha256":"b587f82c02bb34e5ba3cfe0571a43fbe992cec78b961fdb0b9243b1254b2b169","schema_version":"1.0","event_id":"sha256:b587f82c02bb34e5ba3cfe0571a43fbe992cec78b961fdb0b9243b1254b2b169"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LIPD7HIUJJ7W3VF34G57BZOYFQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The large-charge expansion for Schr\\\"odinger systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Domenico Orlando, Samuel Favrod, Susanne Reffert","submitted_at":"2018-09-17T18:00:00Z","abstract_excerpt":"In this note, we perform the large-charge expansion for non-relativistic systems with a global $U(1)$ symmetry in $3+1$ and $2+1$ space-time dimensions, motivated by applications to the unitary Fermi gas and anyons. These systems do not have full conformal invariance, but are invariant under the Schr\\\"odinger group. Also here, the low-energy physics is encoded by a Goldstone boson which is due to the breaking of the global symmetry when fixing the charge. We find that in $2+1$ dimensions and higher, there is a large-charge expansion in which quantum corrections are suppressed with respect to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06371","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":"2026-05-17T23:57:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G/jyVzLkmyZ5QqjXYQ6XhAuXDatmdZlZZ7xrrf+eQKAqv+Q5rSlxbn1/X1fRqEC6tyNzpl4VUbB+q9jcPs3VBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:22:39.989411Z"},"content_sha256":"6f02ef94bdb9789633f84a2dda8205e0094e24e3a7e55947e6b99bb123c24638","schema_version":"1.0","event_id":"sha256:6f02ef94bdb9789633f84a2dda8205e0094e24e3a7e55947e6b99bb123c24638"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ/bundle.json","state_url":"https://pith.science/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ/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":"2026-06-27T18:22:39Z","links":{"resolver":"https://pith.science/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ","bundle":"https://pith.science/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ/bundle.json","state":"https://pith.science/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LIPD7HIUJJ7W3VF34G57BZOYFQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LIPD7HIUJJ7W3VF34G57BZOYFQ","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":"d0d42f6c3217fc665b474f94b7d610c813495ec93fc4c69a19ad5b2a135f940e","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T18:00:00Z","title_canon_sha256":"be7793db19ac817678cbdbc31027c650d4ce2dc5977976568da5e3bd6b04e496"},"schema_version":"1.0","source":{"id":"1809.06371","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.06371","created_at":"2026-05-17T23:57:39Z"},{"alias_kind":"arxiv_version","alias_value":"1809.06371v2","created_at":"2026-05-17T23:57:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06371","created_at":"2026-05-17T23:57:39Z"},{"alias_kind":"pith_short_12","alias_value":"LIPD7HIUJJ7W","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LIPD7HIUJJ7W3VF3","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LIPD7HIU","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:6f02ef94bdb9789633f84a2dda8205e0094e24e3a7e55947e6b99bb123c24638","target":"graph","created_at":"2026-05-17T23:57:39Z","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":"In this note, we perform the large-charge expansion for non-relativistic systems with a global $U(1)$ symmetry in $3+1$ and $2+1$ space-time dimensions, motivated by applications to the unitary Fermi gas and anyons. These systems do not have full conformal invariance, but are invariant under the Schr\\\"odinger group. Also here, the low-energy physics is encoded by a Goldstone boson which is due to the breaking of the global symmetry when fixing the charge. We find that in $2+1$ dimensions and higher, there is a large-charge expansion in which quantum corrections are suppressed with respect to t","authors_text":"Domenico Orlando, Samuel Favrod, Susanne Reffert","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T18:00:00Z","title":"The large-charge expansion for Schr\\\"odinger systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06371","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:b587f82c02bb34e5ba3cfe0571a43fbe992cec78b961fdb0b9243b1254b2b169","target":"record","created_at":"2026-05-17T23:57:39Z","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":"d0d42f6c3217fc665b474f94b7d610c813495ec93fc4c69a19ad5b2a135f940e","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-09-17T18:00:00Z","title_canon_sha256":"be7793db19ac817678cbdbc31027c650d4ce2dc5977976568da5e3bd6b04e496"},"schema_version":"1.0","source":{"id":"1809.06371","kind":"arxiv","version":2}},"canonical_sha256":"5a1e3f9d144a7f6dd4bbe1bbf0e5d82c1053ed3010bc5ea01b13210cb20a524e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a1e3f9d144a7f6dd4bbe1bbf0e5d82c1053ed3010bc5ea01b13210cb20a524e","first_computed_at":"2026-05-17T23:57:39.926658Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:39.926658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"amrL7f7A7MlzyiJR7Ptx05RjV0QUkiWB+6Ep2ijZdJVCr5zWkRb5f6hksokfGPQdJJSEpotDYyXhzXT+w+XkCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:39.927147Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.06371","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b587f82c02bb34e5ba3cfe0571a43fbe992cec78b961fdb0b9243b1254b2b169","sha256:6f02ef94bdb9789633f84a2dda8205e0094e24e3a7e55947e6b99bb123c24638"],"state_sha256":"08113175bf5d84d784ad0863491810b372544c237f0176ab904be35d6564c6cc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L6zQH1+h+0k7P87s0GchDoJ6h6hQ64vWbuv+ZnCCwHIHrmGiHeVKZuw8n1jEjBmDylewBAH9Vx+JGMldbqmlAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:22:39.991292Z","bundle_sha256":"2e86a79a732acbdd8e886de0693cbf314d60d639fcf3df3733f5a37e97b01ce7"}}