{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:HU3V6AKAB337DRQBFKMD7DDHUH","short_pith_number":"pith:HU3V6AKA","schema_version":"1.0","canonical_sha256":"3d375f01400ef7f1c6012a983f8c67a1ff4897fff2957bee0a09042900a6103c","source":{"kind":"arxiv","id":"2012.10213","version":2},"attestation_state":"computed","paper":{"title":"The 1+3-Newton-Cartan system and Newton-Cartan cosmology","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Quentin Vigneron","submitted_at":"2020-12-18T13:16:54Z","abstract_excerpt":"We perform a covariant 1+3 split of the Newton-Cartan equations. The resulting 3-dimensional system of equations, called \\textit{the 1+3-Newton-Cartan equations}, is structurally equivalent to the 1+3-Einstein equations. In particular it features the momentum constraint, and a choice of adapted coordinates corresponds to a choice of shift vector. We show that these equations reduce to the classical Newton equations without the need for special Galilean coordinates. The solutions to the 1+3-Newton-Cartan equations are equivalent to the solutions of the classical Newton equations if space is ass"},"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":"2012.10213","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2020-12-18T13:16:54Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b86b8644e430b9a244f7d66a8c301501bd1c4f8140634c32ca1b7fabc25cd87b","abstract_canon_sha256":"78ef752784510b0cc46a818e5e0e4a2d5843ab5ddec25d646780e2f5ad1d1186"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:27:34.793385Z","signature_b64":"CEaZtPrUYvw/XY54uDl7hdSM3O6Osfan8AN1VKnxHBqBlNN4B0IP0PsCLVcDzp13MN5ZHANRFukyXmTc/GGYAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d375f01400ef7f1c6012a983f8c67a1ff4897fff2957bee0a09042900a6103c","last_reissued_at":"2026-07-05T02:27:34.792939Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:27:34.792939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The 1+3-Newton-Cartan system and Newton-Cartan cosmology","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Quentin Vigneron","submitted_at":"2020-12-18T13:16:54Z","abstract_excerpt":"We perform a covariant 1+3 split of the Newton-Cartan equations. The resulting 3-dimensional system of equations, called \\textit{the 1+3-Newton-Cartan equations}, is structurally equivalent to the 1+3-Einstein equations. In particular it features the momentum constraint, and a choice of adapted coordinates corresponds to a choice of shift vector. We show that these equations reduce to the classical Newton equations without the need for special Galilean coordinates. The solutions to the 1+3-Newton-Cartan equations are equivalent to the solutions of the classical Newton equations if space is ass"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.10213","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2012.10213/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":"2012.10213","created_at":"2026-07-05T02:27:34.792995+00:00"},{"alias_kind":"arxiv_version","alias_value":"2012.10213v2","created_at":"2026-07-05T02:27:34.792995+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.10213","created_at":"2026-07-05T02:27:34.792995+00:00"},{"alias_kind":"pith_short_12","alias_value":"HU3V6AKAB337","created_at":"2026-07-05T02:27:34.792995+00:00"},{"alias_kind":"pith_short_16","alias_value":"HU3V6AKAB337DRQB","created_at":"2026-07-05T02:27:34.792995+00:00"},{"alias_kind":"pith_short_8","alias_value":"HU3V6AKA","created_at":"2026-07-05T02:27:34.792995+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.03936","citing_title":"Affine connections for Galilean and Carrollian structures: a unified perspective","ref_index":25,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH","json":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH.json","graph_json":"https://pith.science/api/pith-number/HU3V6AKAB337DRQBFKMD7DDHUH/graph.json","events_json":"https://pith.science/api/pith-number/HU3V6AKAB337DRQBFKMD7DDHUH/events.json","paper":"https://pith.science/paper/HU3V6AKA"},"agent_actions":{"view_html":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH","download_json":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH.json","view_paper":"https://pith.science/paper/HU3V6AKA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2012.10213&json=true","fetch_graph":"https://pith.science/api/pith-number/HU3V6AKAB337DRQBFKMD7DDHUH/graph.json","fetch_events":"https://pith.science/api/pith-number/HU3V6AKAB337DRQBFKMD7DDHUH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH/action/storage_attestation","attest_author":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH/action/author_attestation","sign_citation":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH/action/citation_signature","submit_replication":"https://pith.science/pith/HU3V6AKAB337DRQBFKMD7DDHUH/action/replication_record"}},"created_at":"2026-07-05T02:27:34.792995+00:00","updated_at":"2026-07-05T02:27:34.792995+00:00"}