{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:KB22IWTKSZFNCYBSCRQCLWTOOM","short_pith_number":"pith:KB22IWTK","schema_version":"1.0","canonical_sha256":"5075a45a6a964ad16032146025da6e7323faa88dcbd9dae748f11058935428f4","source":{"kind":"arxiv","id":"2112.12684","version":5},"attestation_state":"computed","paper":{"title":"Carroll Expansion of General Relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Benjamin T. S{\\o}gaard, Dennis Hansen, Gerben Oling, Niels A. Obers","submitted_at":"2021-12-23T16:26:16Z","abstract_excerpt":"We study the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. This is an expansion around the ultra-local Carroll limit, in which light cones close up. To this end, we first rewrite the Einstein-Hilbert action in pre-ultra-local variables, which is closely related to the 3+1 decomposition of general relativity. At leading order in the expansion, these pre-ultra-local variables yield Carroll geometry and the resulting action describes the electric Carroll limit of general relativity. We also obtain the next-to-leading order actio"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2112.12684","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-12-23T16:26:16Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"b0dd621e90af1dcc0ff424698f8df66fcd0fa2ffacbf095f789e76faf98bd0d5","abstract_canon_sha256":"d2dbdadb62e389071b347186e4007d8baf00c633f3096c8818c26bcafb84b8e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:57:02.675779Z","signature_b64":"Srodi/W8B/9iZbiQXpj89TnBxOJEiqWQ5nyuzFXtavtpqy2I88ur6HwUxHa5KTz4r7x1ahl9LdCPjD/25tw6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5075a45a6a964ad16032146025da6e7323faa88dcbd9dae748f11058935428f4","last_reissued_at":"2026-07-05T04:57:02.675358Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:57:02.675358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Carroll Expansion of General Relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Benjamin T. S{\\o}gaard, Dennis Hansen, Gerben Oling, Niels A. Obers","submitted_at":"2021-12-23T16:26:16Z","abstract_excerpt":"We study the small speed of light expansion of general relativity, utilizing the modern perspective on non-Lorentzian geometry. This is an expansion around the ultra-local Carroll limit, in which light cones close up. To this end, we first rewrite the Einstein-Hilbert action in pre-ultra-local variables, which is closely related to the 3+1 decomposition of general relativity. At leading order in the expansion, these pre-ultra-local variables yield Carroll geometry and the resulting action describes the electric Carroll limit of general relativity. We also obtain the next-to-leading order actio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.12684","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.12684/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2112.12684","created_at":"2026-07-05T04:57:02.675411+00:00"},{"alias_kind":"arxiv_version","alias_value":"2112.12684v5","created_at":"2026-07-05T04:57:02.675411+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.12684","created_at":"2026-07-05T04:57:02.675411+00:00"},{"alias_kind":"pith_short_12","alias_value":"KB22IWTKSZFN","created_at":"2026-07-05T04:57:02.675411+00:00"},{"alias_kind":"pith_short_16","alias_value":"KB22IWTKSZFNCYBS","created_at":"2026-07-05T04:57:02.675411+00:00"},{"alias_kind":"pith_short_8","alias_value":"KB22IWTK","created_at":"2026-07-05T04:57:02.675411+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":14,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.07872","citing_title":"The Energy-Momentum-News Complex near Future Null Infinity","ref_index":97,"is_internal_anchor":true},{"citing_arxiv_id":"2606.26163","citing_title":"Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions","ref_index":40,"is_internal_anchor":false},{"citing_arxiv_id":"2606.22050","citing_title":"Hamiltonian formulation of Carrollian Maxwell theory in Deformed Light-cone Kaluza-Klein-like Null reduction","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19112","citing_title":"Post-Carroll Algebra, Conformal Extensions, and Field Theories","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19112","citing_title":"Post-Carroll Algebra, Conformal Extensions, and Field Theories","ref_index":39,"is_internal_anchor":false},{"citing_arxiv_id":"2605.15269","citing_title":"Kerroll black holes","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2606.26163","citing_title":"Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2605.15269","citing_title":"Kerroll black holes","ref_index":42,"is_internal_anchor":false},{"citing_arxiv_id":"2510.16104","citing_title":"Strings near BTZ black holes: A Carrollian Chronicle","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2601.15023","citing_title":"Carroll hydrodynamics with spin","ref_index":54,"is_internal_anchor":false},{"citing_arxiv_id":"2604.23677","citing_title":"Stationary solutions in the small-$c$ expansion of GR","ref_index":1,"is_internal_anchor":false},{"citing_arxiv_id":"2605.06410","citing_title":"Spin and Quadrupole Sectors in Nonrelativistic Gravity","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2604.07449","citing_title":"Quantum Fluctuations and Newton-Cartan Geometry for Non-Relativistic de Sitter space","ref_index":15,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14301","citing_title":"Carroll fermions, expansions and the lightcone","ref_index":54,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM","json":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM.json","graph_json":"https://pith.science/api/pith-number/KB22IWTKSZFNCYBSCRQCLWTOOM/graph.json","events_json":"https://pith.science/api/pith-number/KB22IWTKSZFNCYBSCRQCLWTOOM/events.json","paper":"https://pith.science/paper/KB22IWTK"},"agent_actions":{"view_html":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM","download_json":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM.json","view_paper":"https://pith.science/paper/KB22IWTK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2112.12684&json=true","fetch_graph":"https://pith.science/api/pith-number/KB22IWTKSZFNCYBSCRQCLWTOOM/graph.json","fetch_events":"https://pith.science/api/pith-number/KB22IWTKSZFNCYBSCRQCLWTOOM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM/action/storage_attestation","attest_author":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM/action/author_attestation","sign_citation":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM/action/citation_signature","submit_replication":"https://pith.science/pith/KB22IWTKSZFNCYBSCRQCLWTOOM/action/replication_record"}},"created_at":"2026-07-05T04:57:02.675411+00:00","updated_at":"2026-07-05T04:57:02.675411+00:00"}